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Title: | Robust mixed H-2/H∞ control for a class of nonlinear stochastic systems |
Authors: | Yang, F Wang, Z Ho, DWC |
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. |
URI: | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1595895 http://bura.brunel.ac.uk/handle/2438/4725 |
DOI: | http://dx.doi.org/10.1049/ip-cta:20050123 |
ISSN: | 1350-2379 |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
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