Stochastic H2/H ∞ Control

A Nash Game Approach

Weihai Zhang, Lihua Xie, Bor-Sen Chen

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English

CRC Press
30 June 2020

Probability & statistics; Game theory; Power generation & distribution; Environmental science, engineering & technology

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.

By: Weihai Zhang, Lihua Xie, Bor-Sen Chen
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9780367573300
ISBN 10: 036757330X
Pages: 368
Publication Date: 30 June 2020
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

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.

Weihai Zhang, Lihau Xie, Bor-Sen Chen