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.

Submitted by RAUL KATAYAMA MANSANO null (rkmansano@yahoo.com.br) on 2016-11-04T01:12:57Z No. of bitstreams: 1 Dissertação Raul Katayama Mansano.pdf: 4167710 bytes, checksum: 35cc706c4a721f9334825773f9f2ff77 (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2016-11-10T13:57:40Z (GMT) No. of bitstreams: 1 mansano_rk_me_bauru.pdf: 4167710 bytes, checksum: 35cc706c4a721f9334825773f9f2ff77 (MD5) / Made available in DSpace on 2016-11-10T13:57:40Z (GMT). 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.

Submitted by Felipe Fakir null (zafakir@yahoo.com.br) on 2017-06-27T07:01:28Z No. of bitstreams: 1 FFAKIR Dissertação vFinalFichaCataAta.pdf: 2064786 bytes, checksum: 158a935a636b9dbf9e59618a35b4c8ef (MD5) / Approved for entry into archive by Luiz Galeffi (luizgaleffi@gmail.com) on 2017-06-28T19:39:58Z (GMT) No. of bitstreams: 1 fakir_f_me_bauru.pdf: 2064786 bytes, checksum: 158a935a636b9dbf9e59618a35b4c8ef (MD5) / Made available in DSpace on 2017-06-28T19:39:58Z (GMT). No. of bitstreams: 1 fakir_f_me_bauru.pdf: 2064786 bytes, checksum: 158a935a636b9dbf9e59618a35b4c8ef (MD5) Previous issue date: 2017-06-01 / A tecnologia de comunicação wireless vem se tornando parte fundamental do cotidiano das indústrias de processos, onde o uso de transmissores wireless aplicados à monitoração e controle já é uma realidade. A arquitetura de Sistema de Controle via Rede Sem Fio (WNCS) possui vantagens em relação às arquiteturas tradicionais ponto-a-ponto e às arquiteturas de redes cabeadas devido à facilidade de instalação, configuração e manutenção. No entanto, a evolução desta tecnologia introduziu novos desafios para a implementação da malha de controle fechada por um instrumento wireless como as não linearidades, perda de pacote de dados e restrições da comunicação de dados nas redes sem fio. Outro fator crítico relacionado à implementação de WNCSs é a fonte de energia limitada destes transmissores, que possuem vida útil dependente da quantidade de acessos e dados transmitidos. Este trabalho apresenta o estudo e o desenvolvimento de um controlador preditivo multi-rate como alternativa para melhorar a eficiência energética em aplicações industriais de WNCSs. A estratégia proposta não necessita receber constantemente os valores reais das variáveis do processo transmitidos pelos transmissores wireless, pois o controlador preditivo baseado em modelo (MPC) se utiliza do submodelo interno das variáveis de processo para estimar os valores das variáveis quando estas não são transmitidas. Dessa forma, uma diminuição da frequência de transmissão de dados na rede sem fio pode ser obtida e, consequentemente uma redução do consumo energético dos dispositivos sem fio. Resultados de simulações em diferentes condições de operação de um WNCS multivariável de controle de tanques acoplados demonstram que o MPC multi-rate possui características de robustez e é efetivo para aplicações de WNCS, garantindo requisitos de controle e estabilidade mesmo com a diminuição da frequência de transmissão de dados de realimentação na rede sem fio. Adicionalmente, resultados do consumo energético dos dispositivos do WNCS mostraram que o MPC multi-rate proporciona uma economia de energia de até 20% das baterias dos transmissores wireless. Uma análise da eficiência energética do WNCS é apresentada através do estudo dos limites operacionais do controlador MPC multi-rate considerando a relação de compromisso entre o período de amostragem dos dispositivos sem fio e o desempenho de controle do WNCS. / Wireless communication technology has become a fundamental part of the everyday life of process industries, where the use of wireless transmitters for monitoring and control is already a reality. The architecture of Wireless Networked Control Systems (WNCSs) has advantages over point-to-point and wired networks architectures due to the ease of installation, configuration and maintenance. However, the evolution of this technology has introduced new challenges to the implementation of the closed loop control with a wireless instrument as nonlinearities, packet losses and data communication constraints in the wireless networks. Another critical factor related to implementation of WNCSs is the energy source of these transmitters, which have limited lifetime dependent on the amount of access and data transmitted. This work presents the study and the development of a multi-rate predictive controller as an alternative to improve energy efficiency in industrial applications of WNCSs. The proposed strategy does not need to frequently receive updated process variables transmitted by wireless transmitters, because the model predictive controller (MPC) uses the internal submodel of the process variables to estimate the variables values when they are not transmitted. Thus, a decrease in the frequency of data transmission on the wireless network can be obtained and consequently a reduction of energy consumption of wireless devices. Simulation results for different operating conditions of a multivariable WNCS of coupled tanks shows that the multi-rate MPC provides robustness and it is effective for WNCS applications, ensuring control and stability requirements even with the reduction of the transmission frequency of the feedback data in the wireless network. In addition, energy consumption results from the WNCS devices showed that MPC multi-rate provides 20% of energy economy as it is effective in saving the energy expenditure of the wireless transmitter’s battery. An energy efficiency analysis of the WNCS is presented by studying the operating limits of the multi-rate MPC controller considering the compromise relationship between the sampling period of the wireless devices and the control performance of the WNCS.

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.

In recent years, the security of networked control systems (NCSs) has been an important challenge for many researchers. Although the security schemes for networked control systems have advanced in the past several years, there have been many acknowledged cyber attacks. As a result, this dissertation proposes the use of a novel time-delay switch (TDS) attack by introducing time delays into the dynamics of NCSs. Such an attack has devastating effects on NCSs if prevention techniques and countermeasures are not considered in the design of these systems. To overcome the stability issue caused by TDS attacks, this dissertation proposes a new detector to track TDS attacks in real time. This method relies on an estimator that will estimate and track time delays introduced by a hacker. Once a detector obtains the maximum tolerable time delay of a plant’s optimal controller (for which the plant remains secure and stable), it issues an alarm signal and directs the system to its alarm state. In the alarm state, the plant operates under the control of an emergency controller that can be local or networked to the plant and remains in this stable mode until the networked control system state is restored. In another effort, this dissertation evaluates different control methods to find out which one is more stable when under a TDS attack than others. Also, a novel, simple and effective controller is proposed to thwart TDS attacks on the sensing loop (SL). The modified controller controls the system under a TDS attack. Also, the time-delay estimator will track time delays introduced by a hacker using a modified model reference-based control with an indirect supervisor and a modified least mean square (LMS) minimization technique. Furthermore, here, the demonstration proves that the cryptographic solutions are ineffective in the recovery from TDS attacks. A cryptography-free TDS recovery (CF-TDSR) communication protocol enhancement is introduced to leverage the adaptive channel redundancy techniques, along with a novel state estimator to detect and assist in the recovery of the destabilizing effects of TDS attacks. The conclusion shows how the CF-TDSR ensures the control stability of linear time invariant systems.

Stability analysis of networked dynamical systems has been of interest in many disciplines such as biology and physics and chemistry with applications such as LASER cooling and plasma stability. These large networks are often modeled to have a completely random (Erdös-Rényi) or semi-random (Small-World) topologies. The former model is often used due to mathematical tractability while the latter has been shown to be a better model for most real life networks. The recent emergence of cyber physical systems, and in particular the smart grid, has given rise to a number of engineering questions regarding the control and optimization of such networks. Some of the these questions are: How can the stability of a random network be characterized in probabilistic terms? Can the effects of network topology and system dynamics be separated? What does it take to control a large random network? Can decentralized (pinning) control be effective? If not, how large does the control network needs to be? How can decentralized or distributed controllers be designed? How the size of control network would scale with the size of networked system? Motivated by these questions, we began by studying the probability of stability of synchronization in random networks of oscillators. We developed a stability condition separating the effects of topology and node dynamics and evaluated bounds on the probability of stability for both Erdös-Rényi (ER) and Small-World (SW) network topology models. We then turned our attention to the more realistic scenario where the dynamics of the nodes and couplings are mismatched. Utilizing the concept of ε-synchronization, we have studied the probability of synchronization and showed that the synchronization error, ε, can be arbitrarily reduced using linear controllers. We have also considered the decentralized approach of pinning control to ensure stability in such complex networks. In the pinning method, decentralized controllers are used to control a fraction of the nodes in the network. This is different from traditional decentralized approaches where all the nodes have their own controllers. While the problem of selecting the minimum number of pinning nodes is known to be NP-hard and grows exponentially with the number of nodes in the network we have devised a suboptimal algorithm to select the pinning nodes which converges linearly with network size. We have also analyzed the effectiveness of the pinning approach for the synchronization of oscillators in the networks with fast switching, where the network links disconnect and reconnect quickly relative to the node dynamics. To address the scaling problem in the design of distributed control networks, we have employed a random control network to stabilize a random plant network. Our results show that for an ER plant network, the control network needs to grow linearly with the size of the plant network.

No description available.

No description available.