Stochastic H2/H a?? Control: A Nash Game Approach

Stochastic H2/H a?? Control: A Nash Game Approach


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Stochastic H2/H a?? Control: A Nash Game Approach by Weihai Zhang, Lihua Xie, Bor-Sen Chen

The H∞ control has been one of the important robust control approaches since the 1980s. This book extends the area to nonlinear stochastic H2/H∞ control, and studies more complex and practically useful mixed H2/H∞ controller synthesis rather than the pure H∞ control. Different from the commonly used convex optimization method, this book applies the Nash game approach to give necessary and sufficient conditions for the existence and uniqueness of the mixed H2/H∞ control. Researchers will benefit from our detailed exposition of the stochastic mixed H2/H∞ control theory, while practitioners can apply our efficient algorithms to address their practical problems.

Product Details

ISBN-13: 9781466573642
Publisher: Taylor & Francis
Publication date: 05/16/2017
Pages: 388
Product dimensions: 6.12(w) x 9.25(h) x (d)

Table of Contents

Mathematical Preliminaries. Linear Continuous-Time Stochastic H2 ∞ H1 Control. Linear Discrete-Time Stochastic H2 ∞ H1 Control. H2 ∞ H1 Control for Linear Discrete Time-Varying Stochastic Systems. Linear Markovian Jump Systems with Multiplicative Noise. Nonlinear Continuous-Time Stochastic H1 and H2 ∞ H1 Controls. Nonlinear Stochastic H1 and H2 ∞ H1 Filtering. Some Further Research Topics in Stochastic H2 ∞ H1 Control. Index.

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