Control design for a class of nonlinear parameter varying systems

Xiushan Cai, Yang Liu and Wei Zhang

International Journal of Systems Science, 2015, vol. 46, issue 9, 1638-1647

Abstract: Stabilisation for a class of one-sided Lipschitz nonlinear parameter varying systems is dealt with in this paper. First, the nonlinear parameter varying system is represented as a subsystem of a differential inclusion. Sufficient conditions for exponential stabilisation for the differential inclusion are given by solving linear matrix inequalities. Then a continuous control law is designed to stabilise the differential inclusion. It leads to stabilising the nonlinear parameter varying system. Finally, a simulation example is presented to show the validity and advantages of the proposed method.

Date: 2015
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DOI: 10.1080/00207721.2013.827262

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