Stochastic H2/H ∞ Control: A Nash Game Approach

Nonfiction, Science & Nature, Mathematics, Game Theory, Applied, Technology, Electricity
Cover of the book Stochastic H2/H ∞ Control: A Nash Game Approach by Weihai Zhang, Lihua Xie, Bor-Sen Chen, CRC Press
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Author: Weihai Zhang, Lihua Xie, Bor-Sen Chen ISBN: 9781351643979
Publisher: CRC Press Publication: August 7, 2017
Imprint: CRC Press Language: English
Author: Weihai Zhang, Lihua Xie, Bor-Sen Chen
ISBN: 9781351643979
Publisher: CRC Press
Publication: August 7, 2017
Imprint: CRC Press
Language: English

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.

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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.

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