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Title: Robust mixed H-2/H∞ control for a class of nonlinear stochastic systems
Authors: Yang, F
Wang, Z
Issue Date: 2006
Publisher: IEE
Citation: IEE Proceedings - Control Theory and Applications, 153(2): 175 - 184, Mar 2006
Abstract: The problem of mixed H2/H∞ control is considered for a class of uncertain discrete-time nonlinear stochastic systems. The nonlinearities are described by statistical means of the stochastic variables and the uncertainties are represented by deterministic norm-bounded parameter perturbations. The mixed H2/H∞ control problem is formulated in terms of the notion of exponentially mean-square quadratic stability and the characterisations of both the H2 control performance and the H∞ robustness performance. A new technique is developed to deal with the matrix trace terms arising from the stochastic nonlinearities and the well-known S-procedure is adopted to handle the deterministic uncertainities. A unified framework is established to solve the addressed mixed H2/H∞ control problem using a linear matrix inequality approach. Within such a framework, two additional optimisation problems are discussed, one is to optimise the H∞ robustness performance, and the other is to optimise the H2 control performance. An illustrative example is provided to demonstrate the effectiveness of the proposed method.
ISSN: 1350-2379
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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