Advanced H Control: Towards Nonsmooth Theory and Applications by Yury V. Orlov (

Description: Advanced H Control by Yury V. Orlov, Luis T. Aguilar This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H∞ approach in the nonsmooth setting. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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 will 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. Back Cover This compact monographis focused ondisturbance 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 anominal closed-loop system and the dissipativity inequality, which statesthat 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 andis then utilized as a Lyapunov functiontoensurethe 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 onelectromechanical applicationswithnonsmooth 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 additionto the literature forresearchers and practitioners in these areas." Table of Contents Part I Introduction.- 1 Linear H1 control of autonomous systems.- 2 LMI approach in infinite dimensional setting.- 3 Linear H1 control of time-varying systems.- 4 Nonlinear H1 control.- Part II Nonsmooth H1 Control.- 5 Elements of nonsmooth analysis.- 6 Synthesis of nonsmooth systems.- 7 LMI-based H1 boundary control of nonsmooth parabolic and hyperbolic systems.- Part III Benchmark Applications.- 8 Advanced H1 synthesis of fully actuated robot manipulators with frictional joints.- 9 Nonsmooth H1 synthesis in the presence of backlash.- 10 H1 generation of periodic motion.- 11 LMI-based H1 synthesis of the current profile in tokamak plasmas.- References.- Index. Review "The present book is a research monograph. … it isself-contained, and so the reader who takes the effort to study the book indetail, learns how to design robust controllers for a very general class ofsystems, such as those described by nonsmooth nonlinear models and thosedescribed by partial differential equations." (Hans Zwart, zbMATH 1328.93005,2016)"This monograph addresses the H∞ control problem for a wide class of systems described by finite-/infinite-dimensional, linear/nonlinear, time-invariant/-varying, without/with delay equations. … The proposed method allows one to develop powerful algorithms for the H∞ design of nonsmooth systems." (Hideki Sano, Mathematical Reviews, June, 2015) Long Description This compact monographis focused ondisturbance 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 anominal closed-loop system and the dissipativity inequality, which statesthat 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 andis then utilized as a Lyapunov functiontoensurethe 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 onelectromechanical applicationswithnonsmooth 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 will be accessible to g raduate students interested in systems analysis and design, and is a welcome additionto the literature forresearchers and practitioners in these areas." Review Quote This monograph addresses the H control problem for a wide class of systems described by finite-/infinite-dimensional, linear/nonlinear, time-invariant/-varying, without/with delay equations. The proposed method allows one to develop powerful algorithms for the H design of nonsmooth systems. (Hideki Sano, Mathematical Reviews, June, 2015)" Feature Provides a unique treatment of disturbance attenuation in nonsmooth systems Combines the most popular robust control models (H-infinity, backstepping, and sliding mode) Contains electromechanical applications with underactuation and complex phenomena Rigorous theoretical development supported by experimental results Details ISBN1493944428 Author Luis T. Aguilar Publisher Birkhauser Boston Inc Year 2016 ISBN-10 1493944428 ISBN-13 9781493944422 Format Paperback Language English Media Book Imprint Birkhauser Boston Inc Subtitle Towards Nonsmooth Theory and Applications Place of Publication Secaucus Country of Publication United States Pages 218 Series Systems & Control: Foundations & Applications Short Title Advanced H Control AU Release Date 2016-08-23 NZ Release Date 2016-08-23 US Release Date 2016-08-23 UK Release Date 2016-08-23 Edition Description Softcover reprint of the original 1st ed. 2014 Publication Date 2016-08-23 Alternative 9781493902910 DEWEY 629.8312 Audience Professional & Vocational Illustrations 12 Illustrations, color; 31 Illustrations, black and white; XI, 218 p. 43 illus., 12 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 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