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		Dabo XU,Qingling ZHANG.[en_title][J].Control Theory and Technology,2008,6(2):115~121.[Copy]

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DaboXU,QinglingZHANG
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Received:November 02, 2006Revised:April 09, 2007

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H-infinity control with an alpha-stability constraint: a descriptor system approach

Dabo XU, Qingling ZHANG

(Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang Liaoning 110004, China)

Abstract:

This paper deals with the problem of designing state or full-order output feedback H-infinity controllers satisfying an ?-stability constraint. A descriptor system approach is adopted to derive linear matrix inequality (LMI) conditions of ?-stability and H-infinity performance for linear time-invariant (LTI) systems, under which the multiobjective control laws can be constructed with a mix of H-infinity performance and ?-stability. Being expressed in terms of a group of bilinear matrix inequalities, the design algorithm is numerically tractable via an LMI optimization method. A numerical example illustrates the feasibility and effectiveness of the proposed approach, and the results are also compared with those obtained by the well-known Lyapunov shaping paradigm (LSP).

Key words: Multiobjective control H-infinity control Alpha-stability Descriptor systems Linear matrix inequalities