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Linear-matrix-inequality-based approach to H/sub /spl infin// controller synthesis of uncertain continuous-time piecewise linear systems

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3 Author(s)
M. Chen ; Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, China ; C. R. Zhu ; G. Feng

The authors present an H/sub /spl infin// controller synthesis method for uncertain piecewise linear systems that is based on a piecewise smooth Lyapunov function. It is shown that the stability and the disturbance attenuation performance of the closed-loop control system can be achieved with this piecewise Lyapunov function and the control law can be obtained by solving a set of linear matrix inequalities. A simulation example is used to illustrate the proposed approach.

Published in:

IEE Proceedings - Control Theory and Applications  (Volume:151 ,  Issue: 3 )