Ce mémoire, réalisé dans le cadre d’une thèse sous convention CIFRE avec la société Schneider-Electric et l’Université de Lorraine à travers le laboratoire du CRAN, porte sur l’évaluation des performances temporelles des architectures de contrôle-commande distribuées sur un réseau de communication. Le besoin industriel s’exprime sous la forme d’un outil d’aide au dimensionnement des architectures en phase d’avant-vente caractérisée par une connaissance partielle de ces dernières. Le problème scientifique sous-jacent est relatif à la génération automatique des modèles servant de support à l’évaluation. En effet, l’évaluation des performances doit être réalisée pour un ensemble important d’architectures, dans un temps court, difficilement compatible avec une construction manuelle des modèles. Notre contribution porte sur la définition formelle, à l’aide de réseaux de Petri colorés et temporisés, d’un modèle « constructeur » d’architectures embarquant des mécanismes de configuration, d’instanciation et de paramétrage. Plusieurs algorithmes sont proposés pour, d’une part, construire automatiquement le modèle d’une architecture donnée, à partir d’une description formelle de sa topologie et d’une librairie de modèles d’équipements de contrôle-commande, et, d’autre part, pour générer les observateurs requis à partir d’une description formelle des performances à évaluer. Ces différents algorithmes ont été implantés dans un outil interfacé, d’une part avec l’outil Schneider de description des architectures, et, d’autre part avec le simulateur de l’outil CPN Tools qui fournit une estimation des performances via des simulations de Monte-Carlo. L’intérêt de cette approche a été illustrée sur la base de quelques architectures types fournies par la société Schneider-Electric / This PhD dissertation, supported by CIFRE convention between the company Schneider-Electric and the University of Lorraine through the CRAN laboratory, deals with the assessment of temporal performances for a networked distributed control system. The industrial need was the development of a quotation and sizing tool of industrial control architecture during pre-sales stage. This stage is characterized by limited information about the process and the customers’ needs. The underlying scientific problematic was the ability to generate automatically models serving as support for the evaluation. In fact, performance assessment is realized for a wide range of architecture during a small amount of time, which is not compliant with a manual definition of the models. Our contribution is mainly based on a formal definition of a “builder” model with Colored and Timed Petri Nets which embeds mechanisms for configuration, instantiation and parameters setting of the architecture models. Several algorithms have been proposed for firstly build automatically the architecture Petri Nets model from a formal description of the topology and from a component model library and, secondly, for generating performance observers. Theses algorithms have been implemented on a tool gathering a user interface developed by Schneider –Electric and the Petri Nets simulator called CPN Tools which provides the performance assessment through Monte-Carlo simulation. The added value of this approach has been illustrated through case studies provided by Schneider-Electric

Este trabalho investiga a influência da quantização em sistemas de controle em rede. São tratados problemas de estabilidade e estabilização de sistemas lineares de tempo discreto envolvendo quantização finita nas entradas da planta controlada, considerando dois tipos de quantizadores: os uniformes e os logarítmicos. Como consequência da quantização finita, ocorrem também efeitos de saturação e zonamorta dos sinais de entrada. Tais comportamentos não-lineares são considerados explicitamente na análise. Para plantas instáveis, o objetivo é estimar a região onde os estados estarão confinados em regime permanente. Esta região, denominada atrator dos estados, é estimada por meio de um conjunto elipsoidal. Ao mesmo tempo, determina-se um conjunto elipsoidal de condições iniciais admissíveis, para o qual se garante a convergência das trajetórias para o atrator em tempo finito. Primeiramente, esses conjuntos são determinados para o caso de um controlador dado e, posteriormente, sintetiza-se um controlador que minimiza o atrator. Em se tratando de plantas estáveis, investiga-se como o desempenho dinâmico é afetado pela quantização. Para tanto, utiliza-se como critério o coeficiente de decaimento exponencial que é garantido para o sistema. Nesta parte, excluem-se os comportamentos na região de saturação e na região da zona-morta. Primeiramente, o coeficiente de decaimento garantido é estimado para um sistema com controlador dado. Neste caso, faz-se uma análise de degradação de desempenho induzida pela quantização com relação ao comportamento do sistema em malha fechada sem quantização. Posteriormente, sintetiza-se um controlador que minimiza este coeficiente na presença da quantização. Na obtenção dos resultados, utilizam-se condições de setor respeitadas pelas não linearidades e formulam-se os problemas na forma de inequações matriciais que podem ser resolvidas a partir de problemas de otimização baseados em LMIs. / This work investigates the in uence of quantization over networked control systems. At rst, we tackle stability and stabilization problems of discrete-time linear systems involving nite quantization on the input of the controlled plant, considering two kinds of quantizers: uniform and logarithmic. As a consequence of the nite quantization, saturation and dead-zone e ects on the input signals are also present. These non-linear behaviors are explictly considered in the analysis. For unstable plants, the objective is to estimate the region where the states will be ultimately bounded. This region, which we call the attractor of the states, is estimated through an ellipsoidal set. Simultaneously, we determine an ellipsoidal set of admissible initial conditions, for which the trajectories will converge to the attractor in nite time. At rst, the sets are determined for the case where the controller is given and, in the sequel, a controller that minimizes the attractor is designed. When dealing with stable plants, we investigate how the dynamic performance is a ected by the quantization. To do that, we use as criterion the exponential decay rate which is guaranteed for the system. At this point, we exclude the behaviour in the saturation and deadzone regions. At rst, the guaranteed decay rate is estimated for a system where the controller is given. In this case, we analyze the deterioration of the performance in uenced by the quantization, compared to the behavior of the closed-loop system without quantization. In the sequel, a controller that minimizes that rate in the presence of quantization is designed. To obtain the results, we use sector conditions which are respected by the nonlinearities and we state the problems as matrix inequalities which can be solved using LMI-based optimization problems.

On considère la synthèse de la commande basée sur un asservissement affecté par des retards. L’approche utilisée repose sur des méthodes ensemblistes. Une partie de cette thèse est consacrée à une conception de commande active pour la compensation des retards qui apparaissent dans des canaux de communication entre le capteur et correcteur. Ce problème est considéré dans une perspective générale du cadre de commande tolérante aux défauts où des retards variés sont vus comme un mode particulier de dégradation du capteur. Le cas avec transmission de mesure retardée pour des systèmes avec des capteurs redondants est également examiné. Par conséquent, un cadre unifié est proposé afin de régler le problème de commande basé sur la transmission des mesures avec retard qui peuvent également être fournies par des capteurs qui sont affectés par des défauts soudains.Dans la deuxième partie le concept d’invariance positive pour des systèmes linéaires à retard à temps discret est exposé. En ce qui concerne l’invariance pour cette classe des systèmes dynamiques, il existe deux idées principales. La première approche repose sur la réécriture d’un tel système dans l’espace d’état augmenté et de le considérer comme un système linéaire. D’autre part, la seconde approche considère l’invariance dans l’espace d’état initial. Cependant, la caractérisation d’un tel ensemble invariant est encore une question ouverte, même pour le cas linéaire. Par conséquent, l’objectif de cette thèse est d’introduire une notion générale d’invariance positive pour des systèmes linéaires à retard à temps discret. Également, certains nouveaux éclairages sur l’existence et la construction pour les ensembles invariants positifs robustes sont détaillés. En outre, les nouveaux concepts d’invariance alternatives sont décrits. / We considered the process regulation which is based on feedback affected by varying delays. Proposed approach relies on set-based control methods. One part of the thesis examines active control design for compensation of delays in sensor-to controller communication channel. This problem is regarded in a general perspective of the fault tolerant control where delays are considered as a particular degradation mode of the sensor. Obtained results are also adapted to the systems with redundant sensing elements that are prone to abrupt faults. In this sense, an unified framework is proposed in order to address the control design with outdated measurements provided by unreliable sensors.Positive invariance for linear discrete-time systems with delays is outlined in the second part of the thesis. Concerning this class of dynamics, there are two main approaches which define positive invariance. The first one relies on rewriting a delay-difference equation in the augmented state-space and applying standard analysis and control design tools for the linear systems. The second approach considers invariance in the initial state-space. However, the initial state-space characterization is still an open problem even for the linear case and it represents our main subject of interest. As a contribution, we provide new insights on the existence of the positively invariant sets in the initial state-space. Moreover, a construction algorithm for the minimal robust D-invariant set is outlined. Additionally, alternative invariance concepts are discussed.

This dissertation presents a suite of design tools for multi-agent systems that address three main areas: network design, decentralized controller generation, and the synthesis of decentralized control strategies by combining individual decentralized controllers. First, a new metric for quantifying heterogeneity in multi-agent systems is presented based on combining different notions of entropy, and is shown to overcome the drawbacks associated with existing diversity metrics in various scientific fields. Moreover, a new method of controlling multi-agent networks through the single-leader network paradigm is presented where by directly exploiting the homogeneity of agent capabilities, a network which is not completely controllable can be driven closer to a desired target configuration than by using traditional control techniques. An algorithm is presented for generating decentralized control laws that allow for agents to best satisfy a desired global objective, while taking into account network topological constraints and limitations on how agents can compute their control signals. Then, a scripting tool is developed to aid in specifying sequences of decentralized controllers to be executed consecutively, while helping ensure that the required network topological requirements needed for each controller to execute properly are maintained throughout mode switches. Finally, the underlying concepts behind the developed tools are showcased in three example applications: distributed merging and spacing for heterogeneous aircraft during terminal approaches, collaborative multi-UAV convoy protection in dynamic environments, and an educational tool used to teach a graduate-level networked controls course at the Georgia Institute of Technology.

&ldquo / Numerically Controlled&rdquo / (NC) machine tools, which are automatically operated by encoded (digital) commands, are capable of machining components with quality and quantity. Manufacturing industry heavily depends on these machines. Many different control architectures have been adapted in today&rsquo / s CNC technology. Centralized control system is quite popular in industry due to its ease of implementation. If the number of controlled axes on a CNC machine tool (&gt / 3), increases so does the computational burden on the central processors. Hence, more powerful processors are needed. An alternative architecture, which is not commonly used in CNC technology, is the decentralized (distributed) control. In this topology, the tasks handled by the distributed controllers that are interconnected to each other by a communication network. As the need arises, a new controller can be added easily to the network without augmenting the physical configuration. Despite its attractive features, this architecture has not been fully embraced by the CNC industry. Synchronization among the axes in the coordinated motion is proven to be quite challenging. In this thesis, alternative distributed controller architecture was proposed for CNC machine tools. It was implemented on a 3-axis CNC milling machine. Open-loop control performance was investigated under various conditions. Different communication protocols along with different physical communication interfaces and a number of controller hardware were devised. An industry-standard network (RS-485) was set up by interconnecting these distributed controllers. Different data transmission protocols were devised in order to establish appropriate communication methods. Also, computer software (a.k.a. graphical user interface), which can coordinate the interconnected controllers, interpret NC part programs and generate reference position data for each axis, was designed within the scope of this thesis.

Multiagent coordination problems arise in a variety of applications, from satellite constellations and formation flight, to air traffic control and unmanned vehicle teams. We investigate the coordination of mobile agents using two kinds of approaches. In the first, which takes its inspiration from fluid dynamics and algebraic topology, control authority is split between mobile agents and a network of static infrastructure nodes - like wireless base stations or air traffic control towers - and controllers are developed that distribute their computation throughout this network. In the second, we look at networks of interconnected mechanical systems, and develop novel optimal control algorithms, which involve the computation of optimal deformations of time- and output- spaces, to achieve approximate formation tracking. Finally, we investigate algorithms that optimize these controllers to meet subjective criteria of humans.

Το ερευνητικό αντικείμενο της Διατριβής είναι τα θέματα σθεναρότητας του προκύπτουν στα Δικτυωμένα Συστήματα Ελέγχου (Νetworked Cοntrοlled Systems - εφεξής "ΝCS"), όπου η βασική πηγή αβεβαιότητας είναι οι καθυστερήσεις λόγω δικτύου. Στο πλαίσιο αυτό παρουσιάζονται απότελέσματα του αφορούν στην ανάλυση σθεναρής ευστάθειας και στην σύνθεση σθεναρών ελεγκτών. Να επισημανθεί ότι στην Διατριβή, ο προσδιορισμός "σθεναρός" αφορά απόκλειστικά σθεναρότητα (ευστάθειας και επιδόσεων) ως προς τις αβέβαιες, χρονικά μεταβαλλόμενες, φραγμένες καθυστερήσεις. Τα μελετώμενα ΝCS απαρτίζονται από την διασύνδεση γραμμικών χρονικά αμετάβλητων συστημάτων συνεχούς χρόνου με ελεγκτές διακριτού χρόνου. Η βασική διάρθρωση των συστημάτων αυτών απαρτίζεται από έναν "οδηγούμενο από χρόνο" (time driven) αισθητήρα / δειγματολήπτη (με σταθερή περίοδο δειγματοληψίας h) που μεταδίδει μέσω του δικτύου τα δείγματα που λαμβάνει από το σύστημα στον "οδηγούμενο από γεγονότα" (event–driven) ελεγκτή. Ακολούθως ο ελεγκτής υπολογίζει την δράση ελέγχου και την μεταδίδει μέσω του δικτύου στον "οδηγούμενο από γεγονότα" (eveτιt–driven) ενεργοποιητή. Οι διαδικασίες της μοντελοποίησης, της ανάλυσης ευστάθειας και της σύνθεσης σθεναρών ελεγκτών (στατικών αλλά και κατά τμήματα γραμμικών) στην εργασία αυτή λαμβάνουν χώρα στο πεδίο του διακριτού χρόνου μετά από διακριτοποίηση του συνολικού συστήματος. Όσον αφορά στην ανάλυση σθεναρής ευστάθειας προτείνονται δύο προσεγγίσεις: • η πρώτη, βασιζόμενη σε ανάλυση ιδιαζουσών τιμών, είναι υπολογιστικά ελκυστική αλλά συνήθως δίδει συντηρητικά αποτελέσματα, • ενώ η δεύτερη, διατυπωμένη σαν ανισότητα πινάκων (LMI), είναι απαιτητική ως προς τον χρόνο υπολογισμού αλλά δίδει αποτελέσματα με μειωμένο συντηρητισμό. Όσον αφορά στην σύνθεση σθεναρών ελεγκτών ανατροφοδότησης κατάστασης μελετώνται οι εξής προσεγγίσεις: • Σύνθεση σθεναρής ευσταθειοποιούσας ανατροφοδότησης κατάστασης • Σύνθεση σθεναρής ευσταθειοποιούσας ανατροφοδότησης κατάστασης "εγγυημένου κόστους" που απαντάει στην συνδυασμένη απαίτηση ευστάθειας και επίδοσης • Σύνθεση σθεναρής ευσταθειοποιούσας ανατροφοδότησης κατάστασης με περιορισμό (Cοnstrained Controller) για ΝCS με "μικρή καθυστέρηση". Επέκταση των αποτελεσμάτων για ΝCS με "μεγάλη καθυστέρηση". Εφαρμογή των παραπάνω αποτελεσμάτων σε προβλήματα παρακολούθησης σταθερής εντολής (set point tracking). • Σύνθεση σθεναρής ευσταθειοποιούσας ανατροφοδότησης κατάστασης με περιορισμό (Constrained Controller), για ΝCS με μικρή και διακοπτική καθυστέρηση. / This research work is concerned with robustness issues arising in Νetworked Cοntrοlled Systems - ("ΝCS"), where the main sources of uncertainty are the time-varying network-induced delays. In this framework the presented results concern robust stability analysis and synthesis of robust controllers. The NCS studied consist of a Linear Time Invariant continuous time plant and a discrete time controller. This configuration includes a time driven (periodic) sampler (taking samples from the sensors with constant sampling period h) and an event–driven controller which transmits the control command via the network to the event–driven actuator. Two modeling approaches for Networked Controlled Systems (NCS) with uncertainly varying bounded transmission delays and static discrete--time control laws are presented. Different models are offered for each case, all linked to the objective of designing robust discrete-time controllers. It is analytically shown how the careful mixing of asynchronous (event--driven) and synchronized (clocked) signals can lead to discrete time uncertain (possibly switched) systems, where results form robust control analysis and synthesis can be applied. After showing the implications of these modelling results for control synthesis purposes, sufficient conditions for the robust stability are given for each approach and a comparison of the conservatism of results is discussed The first group of robust stability results (one for each of the two discrete-time NCS models) is based on a singular value formulation, which although conservative, is extremely simple and has low computational cost The second one is derived and expressed via Linear Matrix Inequalities (LMI) and yields less conservative results at the expense of higher computational cost. Regarding the synthesis of Robust controllers, the following four methodologies were developed: 1. Synthesis of Robust Static State feedback 2. Synthesis of Robust Static State feedback via the “Guaranteed Cost Formulation” which combines stability and performance design objectives 3. Synthesis of Constrained Robust feedback controller (with a Piecewise Affine Structure) which respects the constraints on the control effort and the state (or output). 4. The previous result (Constrained Robust feedback controller) is then generalized for set-point tracking and for various types of network-induced delays (small, large and switching delays)

Cette thèse concerne la stabilisation exponentielle de systèmes commandés en réseaux (NCS en anglais) par retour de sortie. Les solutions proposées reposent sur un observateur distant et capable d’estimer l’état présent du processus malgré les différents retards générés par la présence du réseau. Le premier chapitre présente le contexte général des NCS et décrit plus particulièrement le problème étudié. Le chapitre suivant propose une architecture informatique permettant de réaliser un retour d’état distant basé sur une structure d’observateur. Deux autres chapitres proposent ensuite la synthèse d’un couple loi de commande / observateur garantissant des performances de convergence exponentielle. Les conditions correspondantes s’écrivent sous forme d’inégalités matricielles linéaires (LMI en anglais) et permettent donc une optimisation. Ces conditions sont basées sur la méthode des fonctionnelles de Lyapunov-Krasovskii et des résultats originaux sont proposés. Une première synthèse peut être effectuée globalement, une seconde permet d’adapter les performances dynamiques à la qualité de service disponible à chaque instant. La seconde approche fait intervenir des résultats originaux sur les systèmes à retards et à commutations. Dans un dernier chapitre, nous proposons une solution complètement asynchrone (gérée par événements). Dans ce cas, le problème des pertes de paquets devient crucial et nous y apportant une réponse. L’ensemble des résultats est confirmé par des expérimentations mises au point dans le cadre de ce travail, et correspondant à un robot léger commandé en temps réel à 40km de distance par Internet / This PhD thesis is dedicated to the exponential output stabilization of linear NCS (Networked Control Systems). The studied solution is based on a remote observer which is able to estimate the present state of the plant despite the various network induced delays. These last are present in both the control and the measurement channels.The first chapter describes the problem and gives a survey on the NCS. The next chapter proposes a computer structure which realizes the remote, observer-based, state feedback controller. The following two chapters propose LMI conditions (Linear Matrix Inequalities) for the design of the observer-based remote controller. The second method of Lyapunov is used with the most up-to-date Lyapunov-Krasovskii functionals. The main objective of the design is to guarantee some performances expressed in the form of exponential stability. Then some enhancements of the control strategy are given. It consists in taking into account the Quality of Service (QoS) in the controller to get better guaranteed performances. The last contribution of this work is to consider the overall system as an event-driven system. It allows one to consider packet dropout problems in the network.The effectiveness of all presented results is demonstrated by real experiments implemented on a light robot controlled over the Internet

Este trabalho investiga a influência da quantização em sistemas de controle em rede. São tratados problemas de estabilidade e estabilização de sistemas lineares de tempo discreto envolvendo quantização finita nas entradas da planta controlada, considerando dois tipos de quantizadores: os uniformes e os logarítmicos. Como consequência da quantização finita, ocorrem também efeitos de saturação e zonamorta dos sinais de entrada. Tais comportamentos não-lineares são considerados explicitamente na análise. Para plantas instáveis, o objetivo é estimar a região onde os estados estarão confinados em regime permanente. Esta região, denominada atrator dos estados, é estimada por meio de um conjunto elipsoidal. Ao mesmo tempo, determina-se um conjunto elipsoidal de condições iniciais admissíveis, para o qual se garante a convergência das trajetórias para o atrator em tempo finito. Primeiramente, esses conjuntos são determinados para o caso de um controlador dado e, posteriormente, sintetiza-se um controlador que minimiza o atrator. Em se tratando de plantas estáveis, investiga-se como o desempenho dinâmico é afetado pela quantização. Para tanto, utiliza-se como critério o coeficiente de decaimento exponencial que é garantido para o sistema. Nesta parte, excluem-se os comportamentos na região de saturação e na região da zona-morta. Primeiramente, o coeficiente de decaimento garantido é estimado para um sistema com controlador dado. Neste caso, faz-se uma análise de degradação de desempenho induzida pela quantização com relação ao comportamento do sistema em malha fechada sem quantização. Posteriormente, sintetiza-se um controlador que minimiza este coeficiente na presença da quantização. Na obtenção dos resultados, utilizam-se condições de setor respeitadas pelas não linearidades e formulam-se os problemas na forma de inequações matriciais que podem ser resolvidas a partir de problemas de otimização baseados em LMIs. / This work investigates the in uence of quantization over networked control systems. At rst, we tackle stability and stabilization problems of discrete-time linear systems involving nite quantization on the input of the controlled plant, considering two kinds of quantizers: uniform and logarithmic. As a consequence of the nite quantization, saturation and dead-zone e ects on the input signals are also present. These non-linear behaviors are explictly considered in the analysis. For unstable plants, the objective is to estimate the region where the states will be ultimately bounded. This region, which we call the attractor of the states, is estimated through an ellipsoidal set. Simultaneously, we determine an ellipsoidal set of admissible initial conditions, for which the trajectories will converge to the attractor in nite time. At rst, the sets are determined for the case where the controller is given and, in the sequel, a controller that minimizes the attractor is designed. When dealing with stable plants, we investigate how the dynamic performance is a ected by the quantization. To do that, we use as criterion the exponential decay rate which is guaranteed for the system. At this point, we exclude the behaviour in the saturation and deadzone regions. At rst, the guaranteed decay rate is estimated for a system where the controller is given. In this case, we analyze the deterioration of the performance in uenced by the quantization, compared to the behavior of the closed-loop system without quantization. In the sequel, a controller that minimizes that rate in the presence of quantization is designed. To obtain the results, we use sector conditions which are respected by the nonlinearities and we state the problems as matrix inequalities which can be solved using LMI-based optimization problems.

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No. of bitstreams: 1 mansano_rk_me_bauru.pdf: 4167710 bytes, checksum: 35cc706c4a721f9334825773f9f2ff77 (MD5) Previous issue date: 2016-09-09 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Com os recentes avanços das tecnologias sem fio e a proliferação de sensores sem fio, há um crescente interesse na implementação de Sistemas Controle via Redes Sem Fio (WNCSs), que fornecem vantagens em relação às arquiteturas tradicionais ponto-a-ponto e às arquiteturas de redes cabeadas. Apesar das vantagens, a inserção de redes industriais na malha de controle impõe não-linearidades e restrições que afetam o desempenho e a estabilidade do WNCS. Além disto, uma questão fundamental para aplicações de WNCS é a vida útil da bateria de alimentação dos sensores sem fio, uma vez que é uma fonte limitada de energia. Como a transmissão da informação na rede sem fio requer um alto gasto energético pelo dispositivo, deve-se restringir a quantidade de comunicações para poupar bateria. Esta restrição inviabiliza o uso de sensores sem fio em diversas aplicações de WNCS. Neste contexto, este trabalho apresenta o desenvolvimento de um controlador adaptativo multi-rate para eficiência energética em aplicações industriais de WNCSs, através da diminuição da frequência de transmissão de dados na rede e, portanto, redução do consumo energético dos dispositivos sem fio. Um controlador adaptativo auto-ajustável foi implementado para identificar o modelo do WNCS, simular tal modelo e sintonizar os parâmetros do controlador a cada passo de controle, fornecendo robustez contra distúrbios e não-linearidades inerentes ao WNCS. O diferencial do controlador adaptativo é a incorporação das técnicas de identificação por pacote e de controle multi-rate. A técnica de identificação por pacote consiste em transmitir mensagens com vários dados (não somente o mais atual) coletados durante o período de amostragem do sensor sem fio, melhorando a identificação do modelo do WNCS e, consequentemente, o desempenho do controlador adaptativo. A técnica de controle multi-rate consiste em usar dados virtuais de realimentação, provenientes do modelo simulado do WNCS, para possibilitar uma atuação sobre o processo a uma frequência mais rápida que a amostragem dos sensores sem fio, permitindo a redução das transmissões sem fio do WNCS. Resultados experimentais mostram que o controlador adaptativo multi-rate é robusto e efetivo para aplicações de WNCS, permitindo poupar energia das baterias dos sensores sem fio sem prejudicar significativamente o desempenho de controle do WNCS. As análises do impacto do período de amostragem e do parâmetro Γ do controlador permitiram a obtenção de valores ótimos para a melhoria da eficiência energética do WNCS. / Recent advances in wireless technologies and the proliferation of wireless sensors led to an increasing interest in the implementation of Wireless Networked Control Systems (WNCS), which provide advantages over traditional peer-to-peer and cabled networks architectures. Despite these advantages, inserting a communication network in the control loop impose nonlinearities and constraints which affect stability and performance of the system. Furthermore, a major issue in wireless applications is the lifetime of the sensors batteries, which are a limited source of power. As transmitting data over the network requires high-energy expenditure, it is imperative to reduce the number of communications, in order to save battery. This constraint makes it unfeasible to use wireless sensors in most WNCS applications. In this context, this work aims to develop a multi-rate adaptive controller to enhance energy efficiency in industrial WNCS applications, by reducing frequency of data transmission over the network, thus reducing power expenditure of the wireless devices. A self-tuning adaptive controller is implemented, which can identify the WNCS model, simulate such model and tune the controller parameters at each control step, then providing robustness to disturbance and inherent nonlinearities of the WNCS. The adaptive controller is augmented with a multi-rate control technique and packet-based identification. The packet-based identification consists in transmitting messages with a pack of data (instead of only transmitting the most recent one) sampled during the inter-samples period, thus improving identification of the WNCS model and, consequently, improving control performance. The multi-rate control technique consists in using virtual feedback data, provided by the simulated model of the WNCS, then enabling actuation faster than wireless sampling, allowing the reduction of wireless transmissions in the WNCS. Experimental results show that the implemented multi-rate adaptive controller is robust and effective to WNCS and improve battery lifetime without decreasing control performance of the WNCS significantly. By investigating the impacts of sampling period and of controller parameter Γ determined optimized values to improve energy efficiency of the WNCS.