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Advanced H∞ Control: Towards Nonsmooth Theory and Applications
Paperback
Series: Systems & Control: Foundations & Applications
Technology & EngineeringGeneral MathematicsGeneral Science
ISBN13: 9781493944422
Publisher: Birkhauser
Published: Aug 23 2016
Pages: 218
Weight: 0.73
Height: 0.49 Width: 6.14 Depth: 9.21
Language: English
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.1 different editions
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Advanced H∞ Control: Towards Nonsmooth Theory and Applications
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