Advanced H¿ Control - Orlov, Yury V.;Aguilar, Luis T.
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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…mehr

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Produktbeschreibung
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 g
raduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.

Rezensionen
"The present book is a research monograph. ... it is self-contained, and so the reader who takes the effort to study the book in detail, learns how to design robust controllers for a very general class of systems, such as those described by nonsmooth nonlinear models and those described 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)