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《Journal of Harbin Institute of Technology》 2006-05
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Design of robust guaranteed cost controllers for uncertain discrete-time switched systems

ZHANG Ying,FU Yan-ming,DUAN Guang-ren(Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China,)  
For a class of discrete-time switched systems with norm bounded parameter uncertainty and a quadratic cost index,the problem of designing a suboptimal guaranteed cost state feedback controller is considered.A sufficient condition on the existence of robust guaranteed controllers is derived by using a switched Lyapunov function approach together with linear matrix inequality technique,and the parameterized representation of the controllers is given in terms of linear matrix inequalities.Based on that,the design problem of the suboptimal guaranteed cost controller is turned into a convex optimization problem with linear matrix inequalities constraints.A numerical example demonstrates the effect of the proposed design approach.
【Fund】: 国家杰出青年基金资助项目(69925308)
【CateGory Index】: TP13
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