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Robust H∞Control for a Class of Switched Uncertain Singular Systems


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Robust H∞Control for a Class of Switched Uncertain Singular Systems
FU Zhu-mu12FEI Shu-min2BO Yu-ming3LI Tao2
1.Electronic and Information Engineering College,Henan University of Science and Technology,Luoyang 471003,China;2.School of Automation,Southeast University,Nanjing 210096,China;3.School of Automation,NUST,Nanjing 210094,China
uncertain switched systems singular systems robust H∞ control state feedback linear matrix inequalities
Based on common Lyapunov function approach and convex combination technique,the sufficient condition for the existence of sub-controllers is presented,which is in the form of matrix inequalities.Both sub-controllers and switching rules are designed.By using eliminated element method,the matrix inequalities are changed into linear matrix inequalities.A numerical example is employed to illustrate the validity of the results.The results indicate that the closed loop system satisfies the robust H∞ performance at each point in whole state-space through switching,although each sub-system doesn’t satisfy the performance and even is not asymptotically stable.


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Last Update: 2008-06-30