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This book presents up-to-date research developments and novel methodologies on fuzzy control systems. It presents solutions to a series of problems with new approaches for the analysis and synthesis of fuzzy time-delay systems and fuzzy stochastic systems, including stability analysis and stabilization, dynamic output feedback control, robust filter design, and model approximation. A set of newly developed techniques such as fuzzy Lyapunov function approach, delay-partitioning, reciprocally convex, cone complementary linearization approach are presented. Fuzzy Control Systems with Time-Delay and Stochastic Perturbation: Analysis and Synthesis is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing. .
Engineering. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Artificial intelligence. --- Ingénierie --- Intelligence artificielle --- Engineering & Applied Sciences --- Computer Science --- Fuzzy systems. --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Systems, Fuzzy --- Computational intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Feedback control systems --- Process control --- System analysis --- Fuzzy logic --- Artificial Intelligence.
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In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant with respect to the delay parameters. This asymptotic behavior is shown to be related by another novel concept, the dual Puiseux series which helps make frequency-sweeping curves useful in the study of general time-delay systems. The comparison of Puiseux and dual Puiseux series leads to three important results: an explicit function of the number of unstable roots simplifying analysis and design of time-delay systems so that to some degree they may be dealt with as finite-dimensional systems; categorization of all time-delay systems into three types according to their ultimate stability properties; and a simple frequency-sweeping criterion allowing asymptotic behavior analysis of critical imaginary roots for all positive critical delays by observation. Academic researchers and graduate students interested in time-delay systems and practitioners working in a variety of fields – engineering, economics and the life sciences involving transfer of materials, energy or information which are inherently non-instantaneous, will find the results presented here useful in tackling some of the complicated problems posed by delays.
Engineering. --- Control. --- Systems Theory, Control. --- Communications Engineering, Networks. --- Systems theory. --- Telecommunication. --- Ingénierie --- Télécommunications --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Automation. --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Automation --- System theory. --- Control engineering. --- Electrical engineering. --- Feedback control systems --- Process control --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic control --- Automatic machinery --- CAD/CAM systems --- Robotics --- Control and Systems Theory. --- Electric communication --- Mass communication --- Telecom --- Telecommunication industry --- Telecommunications --- Communication --- Information theory --- Telecommuting --- Electric engineering --- Engineering --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Philosophy
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This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.
Engineering. --- Control. --- Systems Theory, Control. --- Systems theory. --- Ingénierie --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Linear time invariant systems. --- Linear systems. --- Nonlinear control theory. --- System analysis. --- Automatic control. --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Control engineering --- Control equipment --- Network theory --- Systems analysis --- Systems, Linear --- Systems, Linear time invariant --- System theory. --- Control engineering. --- Network analysis --- Network science --- System theory --- Mathematical optimization --- Control theory --- Nonlinear theories --- Differential equations, Linear --- Feedback control systems --- Process control --- Engineering instruments --- Automation --- Programmable controllers --- Discrete-time systems --- Linear systems --- Control and Systems Theory. --- Systems, Theory of --- Systems science --- Science --- Philosophy
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