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H controller synthesis of uncertain piece ise continuous-time linear systems

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3 Author(s)
Zhu, Y. ; Dept. of Inf. Syst., City Univ. of Hong Kong, China ; Li, D.Q. ; Feng, G.

A H controller synthesis method is presented for uncertai piece ise linear systems based o a piece ise smooth Lyapunov function. The basic idea of the proposed approach is to search for a piece ise controller and a piece ise continuous Lyapunov function simultaneously and constructively so that the global stability ith H performance of the resulting closed-loop control systems ca be established. It is sho n that the control la and Lyapunov functio ca be obtained by solving a set of bilinear matrix inequalities (BMI). T o examples are give to illustrate the application of the proposed method.

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Control Theory and Applications, IEE Proceedings -  (Volume:152 ,  Issue: 5 )