This study covers the sliding mode control design for a class of nonlinear systems, where the control input affects the state of the system linearly as described by (d/dt)x=A(x)x+B(x)u+d(x). The main streamline of the study is the sliding surface design for the system. Since there is no systematic way of designing sliding surfaces for nonlinear systems, a moving sliding surface is designed such that its parameters are determined in an adaptive manner to cope with the nonlinearities of the system. This adaptive manner includes only the automatic adaptation of the sliding surface by determining its parameters by means of solving the State Dependent Riccati Equations (SDRE) online during the control process. The two methods developed in this study: SDRE combined sliding control and the pure SDRE with bias terms are applied to a longitudinal model of a generic hypersonic air vehicle to compare the results.

In this thesis, a sliding mode controller employing a new sliding surface for antilock brake system (ABS) is proposed, its stability is proven formally and its performance is compared with existing sliding mode controllers. The new sliding mode controller uses the integral-derivative surface, which includes error, its derivative and its integral, all at the same time. This and the already existing derivative surface, which includes error and its derivative only, are named zerothorder sliding surfaces. Their stability analysis is done using first-order auxiliary surfaces. Auxiliary surfaces equal the sliding surfaces when derivative of the error becomes zero. The first-order error surface, which includes only the error, and the integral surface, which includes error and its integral, were also designed for comparison. During design, tire brake force response is modelled as an uncertainty. Controllers are simulated on a road with an abrupt change in road coefficient of adhesion. Controller parameters used are optimized, which results in comparable stopping distances while braking on a constant coefficient of adhesion road. Effect of first order actuator dynamics with varying time constants and actuator absolute time delay were considered. Reaching and sliding properties of controllers were also investigated, using results on a constant coefficient of adhesion road. It is observed that zeroth-order sliding surfaces give smoother response for both derivative and integral-derivative cases. As the controllers employing error and derivative surfaces get unstable in the presence of actuator time delay, the integral-derivative surface, proposed in this study, stands as the best controller.

Nowadays, high portion of tactical missiles use gimbaled seeker. For accurate target tracking, the platform where the gimbal is mounted must be stabilized with respect to the motion of the missile body. Line of sight stabilization is critical for fast and precise tracking and alignment. Although, conventional PID framework solves many stabilization problems, it is reported that many PID feedback loops are poorly tuned. In this thesis, recently introduced robot control method, proxy based sliding mode control, is adopted for the line of sight (LOS) stabilization. Before selecting the proposed method, adaptive neural network sliding mode control and fuzzy control are also implemented for comparative purposes. Experimental and simulation results show a satisfactory response of the proxy based sliding mode controller.

Robustness of the closed-loop system has repercussions on both stability and performance, making the study of robustness very important. Fundamentally, the performance and stability of closed-loop systems utilizing state-feedback are tied to that of the observers. The primary goal of this thesis is to develop a robust nonlinear observer and closely examine the usefulness of the observer in the presence of non-collocation and parametric uncertainty and as an integral component in closed-loop control. The usefulness of the observer being investigated depends on robustness, accuracy, computational burden, tunability, ease of design, and ease of implementation on an actual flexible motion system. The design and subsequent integration of the Kalman filter, an optimal observer, into a closed-loop system is well known and systematic. However, there are shortcomings of the Kalman filter in the presence of model uncertainty which are highlighted in this work. Simulation studies are conducted using the Simulation Module in National Instruments LabVIEW 8.5 and experiments are conducted on a physical system consisting of a single flexible link with non-collocation of actuators and sensors using LabVIEW Real Time 8.5. Simulations serve as a means to analyze the performance of the optimal observer and the robust observer by analyzing their dynamic behavior as well as that of the closed-loop system with each observer in place. The focus of experiments is on investigating implementation of the robust observer, including initialization and tuning of observer design parameters off-line and on-line. Simulations verify the robustness properties of the sliding mode observer while experiments show that the robust observer can be implemented at fast control rates and that replacing the Kalman filter with a robust observer has direct ramifications on closed-loop performance.

Thesis (Ph. D.)--Ohio State University, 2005. / Available online via OhioLINK's ETD Center; full text release delayed at author's request until 2006 Aug 15.

Les mini-drones à propulsion électrique sont susceptibles d’avoir une endurance inférieure à celle de drones plus grands.L’exploitation des interactions aérodynamiques, inspirée par les oiseaux migratoires, ainsi que le ravitaillement en vol , sont des approches prometteuses pour améliorer l’endurance des mini-drones. La commande par modes glissants d’ordre supérieur en temps continu (CTHOSM) a été considérée comme un candidat prometteur à ce problème ouvert difficile et a été appliquée avec succès à des modèles cinématiques simples. Dans nos travaux, nous étudions les implications de la présence de la dynamique de la boucle interne et de l’implémentation en temps discret à des taux d’échantillonnage modérés et constatons alors que l’application de la commande CTHOSM devient impossible. Nous proposons donc un schéma de guidage prédictif discret par modes glissants pour approximer les performances de la commande CTHOSM pour une dynamique réaliste du drone. On propose également un problème de référence accessible pour d'autres chercheurs. Les algorithmes de localisation probabilistes existants ne permettent pas la caractérisation de régions de confiance garanties de la position des autres membres de la formation. Dans ce contexte, nous proposons un nouveau filtre ensembliste caractérisant de telles régions de confiance sous forme ellipsoïdale. Nos premières évaluations ont montré que les efforts de calcul induits par cette mise en œuvre restent parfaitement compatibles avec les contraintes des systèmes avioniques des petits drones. / Small, electrically driven unmanned aircraft are likely to suffer from inferior endurance compared to their larger counterparts. Upwash exploitation by tight formation flight, as well as aerial recharging are the most promising control-driven approaches to mitigate this disadvantage. Continuous time higher order sliding mode control (CTHOSM) has been considered as a candidate for this challenging open problem and was successfully applied to simple kinematic models in simulation, where excellent relative position tracking performance can be demonstrated. In this work we study the implications of the presence of inner loop dynamics and discrete implementation at moderate sampling rates and we find that it precludes the application of CTHOSM control to fixed-wing UAS. We propose a predictive discrete sliding mode guidance scheme to approximate the performance of CTHOSM control assuming realistic fixed-wing UAS dynamics. We show that the proposed guidance scheme in combination with inner load factor tracking loops and a disturbance observer allows for relative position tracking performance compatible with the requirements of upwash exploitation. We propose as well an openly accessible benchmark problem. Existing probabilistic localization algorithms cannot provide guaranteed confidence regions of the relative position between UAS. We present a set membership filter that provides ellipsoidal regions guaranteed to contain the relative positions of the other UAS. It is compatible with the hardware constraints of small low-cost UAS. Simulations suggest computational efforts compatible with the computational resources typically available onboard small UAS.

Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2018-11-14T12:32:26Z No. of bitstreams: 2 Dissertação - Luiz Alberto do Couto - 2018.pdf: 3388759 bytes, checksum: 70a8308aa7f38be796baef2403a183c3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-11-14T13:00:55Z (GMT) No. of bitstreams: 2 Dissertação - Luiz Alberto do Couto - 2018.pdf: 3388759 bytes, checksum: 70a8308aa7f38be796baef2403a183c3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-11-14T13:00:55Z (GMT). No. of bitstreams: 2 Dissertação - Luiz Alberto do Couto - 2018.pdf: 3388759 bytes, checksum: 70a8308aa7f38be796baef2403a183c3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-08-31 / This work presents an implementation and analysis of traction control and linear trepidation techniques, driven by a six - pulse fully controlled three - phase rectifier. The methodology addresses the construction of real reality, modeling by method of system identification, design and tuning of optimization processes. The comparisons between the techniques are their characteristics and their performances when performing statistics, verifying the robustness of the series in non-linear systems. Both techniques perform satisfactory in the execution of the control, correlating with the. / Este trabalho apresenta a implementação e análise das técnicas de controle por modos deslizantes e preditivo não linear, aplicados no controle de velocidade de motor de corrente contínua de excitação independente, acionado por retificador trifásico totalmente controlado de seis pulsos. A metodologia aborda a construção da bancada real, modelagem por método de identificação de sistemas, projeto e sintonia dos controladores utilizando processo de otimização. São realizadas comparações entre as referidas técnicas destacando suas características e desempenhos quando executadas em condições semelhantes, verificando a robustez das mesmas atuando em sistemas não lineares. Ambas as técnicas apresentam desempenho satisfatório na execução do controle, dependendo portanto, da análise do sistema a ser implementado para a determinação do método apropriado.

Modernos processos industriais requerem rigorosos requisitos, tais como, eficiÃncia, desempenho dinÃmico, caracterÃsticas de funcionamento flexÃveis, facilidade de diagnÃstico e comunicaÃÃo com um computador principal. Com a evoluÃÃo da micro-eletrÃnica e dos dispositivos de potÃncia notou-se uma tendÃncia no uso de controladores digitais a fim se obter as caracterÃsticas supracitadas. Nestes processos, a utilizaÃÃo da conversÃo eletromecÃnica da energia dar-se de forma intensa, assim Âe comum a utilizaÃÃo de motores elÃtricos em diversos tipos de acionamentos. O presente trabalho utiliza uma metodologia de controle do motor de induÃÃo trifÃsico do tipo âgaiola de esquiloâ com a tÃcnica de controle por modos deslizantes. Aplicou-se, entÃo, a metodologia para controle de posiÃÃo do motor. O trabalho propÃe, ainda, um comparativo da tÃcnica proposta com outra jà implementada em trabalhos precursores, sendo uma teoria clÃssica para acionamentos desse tipo de motor denominado de controle por orientaÃÃo de campo. Programou-se ambas as tÃcnicas em um Digital Signal Controller (DSC) e aplicou-o no posicionamento do motor de induÃÃo. Com a realizaÃÃo do comparativo observou-se o destaque do Slide Mode Control (SMC) em relaÃÃo ao controle por orientaÃÃo de campo nos ensaios feitos na planta de aplicaÃÃo. Tanto em desempenho computacional quanto no controle das posiÃÃes do motor, a tÃcnica de controle deslizante se mostrou mais eficiente e robusta, apresentando uma reduÃÃo nos erros de corrente do motor, bem como um melhor rastreio da posiÃÃo de referÃncia. / Modern industrial processes require stringent requirements, such as efficiency, performance dynamic, flexible operating characteristics, diagnostics facilities and communication with a main computer. With the development of micro- electronics and power devices there has been a trend in the use of digital controllers to obtain the characteristics mentioned above. In those processes, the use of eletromechanical energy conversion are shown in many type of driverâs machine. Thus it is commom to find electric motors in this aplications. Then, this work uses a methodology of control for a three phase induction motor of type âsquirrel cageâ using the technique Sliding Mode Control (SMC). After that, It was applied the methodology for position control of the motor. This work, also proposes a comparison of the proposed technique with other classical technique for this type of aplications. The name of the classical technique is Field Oriented Control (FOC). Therefore, a Digital Signal Controller (DSC) was programmed for both techiniques and applied in the positioning of the inductionmotor. After the comparative analyse, itâs noted that SMC technique was better than FOC technique. Both in computational performance as in the control of motor positions the Slide Mode Control technique has been shown more efficient and robust. Also a reduction in errors of the motorâs current and a better tracking of the reference position was obtained with this technique.

This paper proposes the position control of an articulated manipulator of two degrees of freedom driven by induction motors with a controller in the current loop. The work includes the mechanical modeling of the handler that will be developed from the direct and inverse kinematics and position control of induction motors operating system and uncoupled allocated in the manipulator. Thus, we developed two strategies for control of manipulators with two degrees of freedom, one using the scheme for field-oriented vector control and other means of indirect sliding mode control (Sliding-Mode Control - SMC). These control strategies are applied to current loop of induction motors that drive the manipulator. The parameters of the position controller of manipulator are taken into account in calculating the controller parameters of the current control loop, in order to obtain satisfactory results in the positioning the degrees of freedom. In addition, we performed a comparative study between the indirect field-oriented vector control and sliding mode control applied to the current loop. The advantage of the SMC compared to the indirect field-oriented vector control due to the first had in its control law, developed in this thesis, the use of position degree of freedom manipulator applied directly in the control law, while the second acted only as a disturbed rejection controller for the position loop. The Proportional-Integral (PI) was used in the position and speed loops for both current control algorithms to provide a standard for comparison between. For the purpose of implementing the control system individually for each engine and motors coupled to the manipulator used a digital signal processor. / O presente trabalho propÃe o controle de posiÃÃo de um manipulador articulado de dois graus de liberdade acionado a partir de motores de induÃÃo trifÃsicos com um controlador na malha de corrente. O trabalho contempla a modelagem mecÃnica do manipulador que serà desenvolvida a partir das cinemÃticas direta e inversa e o controle de posiÃÃo dos motores de induÃÃo atuando desacoplados do sistema e alocados no manipulador. Deste modo, foram desenvolvidas duas estratÃgias de controle de manipuladores com dois graus de liberdade, uma utilizando o esquema por controle vetorial de campo orientado indireto e outra atravÃs de controle por modos deslizantes (Sliding Mode Control â SMC). Estas estratÃgias de controle sÃo aplicadas a malha de corrente dos motores de induÃÃo que acionam o manipulador. Os parÃmetros do controlador de posiÃÃo dos manipuladores sÃo levados em consideraÃÃo no cÃlculo dos parÃmetros do controlador da malha de controle de corrente, de modo a se obter resultados satisfatÃrios no posicionamento dos graus de liberdade. AlÃm disso, foi realizado um estudo comparativo entre o controle vetorial de campo orientado indireto e o controle de modos deslizantes aplicado na malha de corrente. A vantagem do SMC em relaÃÃo ao controle vetorial de campo orientado indireto deveu-se a que o primeiro possuÃa em sua lei de controle desenvolvida nesta tese a utilizaÃÃo direta da posiÃÃo do grau de liberdade do manipulador, enquanto que o segundo atuava somente como um controlador com rejeiÃÃo ao distÃrbio. O controlador Proporcional-Integral (PI) foi utilizado nas malhas de posiÃÃo e velocidade de modo a fornecer um padrÃo de comparaÃÃo confiÃvel entre os controladores de corrente. Com a finalidade de implementar o sistema de controle de cada motor individualmente e dos motores acoplados ao manipulador utilizou-se um processador digital de sinais.

Sistemas de levitação eletromagnética são de interesse quando se necessita de tecnologia envolvendo redução de atrito, atuação sem contato físico, máquinas rotativas e trens de alta velocidade. Devido à presença de não linearidades em sua dinâmica, pesquisadores têm dado atenção ao desenvolvimento de controladores mais sofisticados, com o objetivo de melhorar o desempenho desses sistemas. Controladores lineares apresentam limitações na faixa de operação da variável controlada e, geralmente apresentam baixa robustez quando aplicados em sistemas não lineares. O objetivo deste trabalho é desenvolver controladores não lineares com diferentes estruturas e analisá-los quando aplicados em um protótipo do sistema físico. Inicialmente, o sistema é modelado matematicamente através da abordagem fenomenológica. Em seguida, os parâmetros do modelo são identificados através de dados obtidos experimentalmente. Conhecendo bem a dinâmica do sistema através do modelo, são projetados três controladores de diferentes estruturas utilizando simulações computacionais. O primeiro é o PID clássico, controle linear amplamente utilizado em processos industriais. O segundo controlador é um PID com topologia não linear, denominado NPID. Este visa reduzir as limitações encontradas no PID linear, através de funções não lineares em seus termos. O último e mais complexo se trata do controle por modos deslizantes (SMC). Também com estrutura não linear, o SMC possui como característica intrínseca a robustez a variações da planta. Ao final, são realizadas simulações e os controladores avaliados são implementados de maneira digital em um hardware de controle e aplicados em uma planta piloto de levitação eletromagnética. Os resultados de desempenho obtidos permitem avaliar qual topologia de controlador melhor se enquadra diante dessa aplicação. / Electromagnetic levitation systems are of interest when it is necessary the use of technology involving reduction of friction, acting without physical contact, rotating machinery and high speed trains. Due to the nonlinear dynamics, researchers have paid attention to the development of more sophisticated controllers, in order to improve the performance of these systems. Linear controllers have limitations in the operating range of the controlled variable and generally have low robustness when applied to linear systems. The objective of this work is to develop nonlinear controllers with different structures and analyze them, when applied to a prototype of the physical system. Initially the system is modeled mathematically through the phenomenological approach. Then the model parameters are identified by experimentally obtained data. Knowing the dynamic of the system through the model, three different controllers are designed using computer simulations. The first is the classic PID, a linear control widely used in industrial processes. The second controller is a PID with nonlinear topology, called NPID. This controller is intended to reduce the limitations found in the linear PID through non linear functions on its terms. The last and most complex is the sliding mode control (SMC). Also a nonlinear structure, the SMC has the intrinsic characteristic of robustness to variations of the plant. In the end, the simulations are performed and the evaluated controllers are implemented in digital form in a hardware control and applied in a pilot plant of an electromagnetic levitation system. With the performance results it is possible to verify which controller topology best fits this application.