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H-infinity loop-shaping is emerging as a powerful method of designing robust feedback controllers for complex systems. This work develops the H-infinity loop-shaping design method, the v-gap metric and the relationship between the two, showing how they can be used together for feedback design.

H infinity symbol control. --- Robust control. --- Robustness (Control systems) --- Automatic control --- H infinity control --- Control theory

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519.71 --- #TELE:SISTA --- Control systems theory: mathematical aspects --- H [infinity symbol] control --- H2 control. --- Linear control systems. --- H [infinity symbol] control. --- 519.71 Control systems theory: mathematical aspects --- H2 control --- Linear control systems --- H infinity control --- Control theory --- Linear quadratic Gausian control --- LQG control --- Automatic control

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The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear H-infinity control problem considering both state and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton–Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H2/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.

H [infinity symbol] control. --- Commande H-infini --- H [infinity symbol] control --- Operations Research --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- H infinity control --- Engineering. --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Control, Robotics, Mechatronics. --- Systems Theory, Control. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Systems, Theory of --- Systems science --- Science --- Construction --- Industrial arts --- Technology --- Philosophy --- Systems theory. --- Automatic control.

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Advances in H∞ Control Theory is concerned with state-of-the-art developments in three areas: the extended treatment of mostly deterministic switched systems with dwell-time; the control of retarded stochastic state-multiplicative noisy systems; and a new approach to the control of biochemical systems, exemplified by the threonine synthesis and glycolytic pathways. Following an introduction and extensive literature survey, each of these major topics is the subject of an individual part of the book. The first two parts of the book contain several practical examples taken from various fields of control engineering including aircraft control, robot manipulation and process control. These examples are taken from the fields of deterministic switched systems and state-multiplicative noisy systems. The text is rounded out with short appendices covering mathematical fundamentals: σ-algebra and the input-output method for retarded systems. Advances in H∞ Control Theory is written for engineers engaged in control systems research and development, for applied mathematicians interested in systems and control and for graduate students specializing in stochastic control.

Systems theory. --- Biomedical engineering. --- Control and Systems Theory. --- Systems Theory, Control. --- Biomedical Engineering/Biotechnology. --- Signal, Image and Speech Processing. --- Mathematical and Computational Biology. --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- H [infinity symbol] control. --- Stochastic systems. --- Systems, Stochastic --- Stochastic processes --- System analysis --- H infinity control --- Control theory --- Control engineering. --- System theory. --- Signal processing. --- Image processing. --- Speech processing systems. --- Biomathematics. --- Biology --- Mathematics --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy

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This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H∞ approach in the nonsmooth setting. Similar to the standard nonlinear H∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements.    Advanced H∞ Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton–Jacobi–Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimensional setting, involving time-delay and distributed parameter systems. To help illustrate this synthesis, the book focuses on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements. Special attention is devoted to implementation issues.    Requiring familiarity with nonlinear systems theory, this book wi ll be accessible to graduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.

H infinity symbol control --- Control theory --- Linear control systems --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- H [infinity symbol] control. --- Linear control systems. --- H infinity control --- Mathematics. --- Dynamics. --- Ergodic theory. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Vibration. --- Dynamical systems. --- Systems Theory, Control. --- Vibration, Dynamical Systems, Control. --- Dynamical Systems and Ergodic Theory. --- Partial Differential Equations. --- Appl.Mathematics/Computational Methods of Engineering. --- Applications of Mathematics. --- Automatic control --- Systems theory. --- Differentiable dynamical systems. --- Differential equations, partial. --- Mathematical and Computational Engineering. --- Math --- Science --- Cycles --- Mechanics --- Sound --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Systems, Theory of --- Systems science --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Philosophy --- Differential equations, Partial.