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Advanced H-Infinity Control : Towards Nonsmooth Theory and Applications
Advanced H-Infinity Control : Towards Nonsmooth Theory and Applications

Advanced H-Infinity Control : Towards Nonsmooth Theory and Applications by Luis T. Aguilar

Advanced H-Infinity Control : Towards Nonsmooth Theory and Applications
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Author: Luis T. Aguilar
Page Count: 229 pages
Published Date: 21 Feb 2014
Publisher: BIRKHAUSER BOSTON INC
Publication Country: Secaucus, United States
Language: English
Format: PDF
ISBN: 9781493902910
File Name: Advanced.H-Infinity.Control.Towards.Nonsmooth.Theory.and.Applications.pdf
Download Link: Advanced H-Infinity Control Towards Nonsmooth Theory and Applications
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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 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.

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