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Electric filters --- Delay lines --- Filtres électriques --- Lignes à retard

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Electronic circuits --- Delay lines --- Switching circuits --- Pulse circuits --- Circuits électroniques --- Lignes à retard --- Circuits de commutation --- Circuits d'impulsion

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Some of the most common dynamic phenomena that arise in engineering practice—actuator and sensor delays—fall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedback design in the field of control systems—the Smith predictor—has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Specific features and topics include: * A construction of explicit Lyapunov functionals, which can be used in control design or stability analysis, leading to a resolution of several long-standing problems in predictor feedback. * A detailed treatment of individual classes of problems—nonlinear ODEs, parabolic PDEs, first-order hyperbolic PDEs, second-order hyperbolic PDEs, known time-varying delays, unknown constant delays—will help the reader master the techniques presented. * Numerous examples ease a student new to delay systems into the topic. * Minimal prerequisites: the basics of function spaces and Lyapunov theory for ODEs. * The basics of Poincaré and Agmon inequalities, Lyapunov and input-to-state stability, parameter projection for adaptive control, and Bessel functions are summarized in appendices for the reader’s convenience. Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference for graduate students, researchers, and practitioners in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.

Delay lines. --- Feedback control systems. --- Nonlinear systems. --- Systems engineering. --- Feedback control systems --- Nonlinear systems --- Delay lines --- Adaptive control systems --- Civil & Environmental Engineering --- Mechanical Engineering --- Operations Research --- Mechanical Engineering - General --- Engineering & Applied Sciences --- Mathematical models --- Adaptive control systems. --- Mathematical models. --- Systems, Nonlinear --- Feedback mechanisms --- Feedback systems --- Self-adaptive control systems --- Mathematics. --- Differential equations. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Mechanical engineering. --- Control engineering. --- Applications of Mathematics. --- Systems Theory, Control. --- Control. --- Partial Differential Equations. --- Ordinary Differential Equations. --- Mechanical Engineering. --- System theory --- Automatic control --- Automation --- Discrete-time systems --- Feedforward control systems --- Artificial intelligence --- Self-organizing systems --- Systems theory. --- Differential equations, partial. --- Differential Equations. --- Control and Systems Theory. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- 517.91 Differential equations --- Differential equations --- Partial differential equations --- Math --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Systems, Theory of --- Systems science --- Engineering analysis --- Mathematical analysis --- Philosophy --- Mathematics --- Feedback control systems - Mathematical models --- Adaptive control systems - Mathematical models

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"Robust Control for Uncertain Networked Control Systems with Random Delays" addresses the problem of analysis and design of networked control systems when the communication delays are varying in a random fashion. The random nature of the time delays is typical for commercially used networks, such as a DeviceNet (which is a controller area network) and Ethernet network. The main technique used in this book is based on the Lyapunov-Razumikhin method, which results in delay-dependent controllers. The existence of such controllers and fault estimators are given in terms of the solvability of bilinear matrix inequalities. Iterative algorithms are proposed to change this non-convex problem into quasi-convex optimization problems, which can be solved effectively by available mathematical tools. Finally, to demonstrate the effectiveness and advantages of the proposed design method in the book, numerical examples are given in each designed control system.

Computer networks. --- Robust control. --- Time delay systems. --- Uncertainty (Information theory). --- Robust control --- Uncertainty (Information theory) --- Computer networks --- Time delay systems --- Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- Delay lines. --- Measure of uncertainty (Information theory) --- Shannon's measure of uncertainty --- System uncertainty --- Robustness (Control systems) --- Artificial delay lines --- Delay circuits --- Delay devices --- Time-delay networks --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Engineering. --- Computer software --- Algebra. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Control engineering. --- Robotics. --- Automation. --- Robotics and Automation. --- Applications of Mathematics. --- Control. --- Systems Theory, Control. --- Performance and Reliability. --- Reusability. --- Information measurement --- Probabilities --- Questions and answers --- Automatic control --- Automatic timers --- Electric waves --- Electronics --- Waves --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Electronic data processing --- Network computers --- Distributed processing --- Mathematics. --- Systems theory. --- Operating systems (Computers). --- Control and Systems Theory. --- Computer operating systems --- Computers --- Disk operating systems --- Systems software --- Math --- Science --- Mathematics --- Mathematical analysis --- Operating systems --- Computer software—Reusability. --- Systems, Theory of --- Systems science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Engineering --- Engineering analysis --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic machinery --- CAD/CAM systems --- Robotics --- Machine theory --- Philosophy --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Feedback control systems --- Process control