Hinfinity controller design of fuzzy dynamic systems based on piecewise Lyapunov functions

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Gang Feng

Abstract

This paper presents a controller design method for fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a piecewise continuous Lyapunov function can be used to establish the global stability with Hinfinity performance of the resulting closed loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of Linear Matrix Inequalities (LMI) that is numerically feasible with commercially available software. An example is given to illustrate the application of the proposed method.

References

Feb 5, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Z X HanJ Ma

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Citations

Apr 11, 2014·IEEE Transactions on Cybernetics·Qing GaoYong Wang
Jun 10, 2006·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Hongbin ZhangXiaofeng Liao
Jul 18, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Jiuxiang Dong, Guang-Hong Yang
Jul 17, 2016·Neuroscience and Biobehavioral Reviews·Ahmed A MoustafaMarjan Jahanshahi

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