Robust H1 control for a class of switched nonlinear systems | Zendy

Hui Xu | Zendy; Min Wang | Zendy

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Robust H1 control for a class of switched nonlinear systems

Author(s) -

Hui Xu,

Min Wang

Publication year - 2016

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v12i2.537

Subject(s) - dwell time , mathematics , control theory (sociology) , nonlinear system , class (philosophy) , bounded function , norm (philosophy) , control (management) , law , computer science , mathematical analysis , medicine , clinical psychology , physics , quantum mechanics , artificial intelligence , political science

This article is concerned with the robust H1 control problem of a class of switched nonlinear systems with norm-bounded time-varying uncertainties. The system considered in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which is also switched systems. Under the circumstances, that the H1 control problem of all subsystems are not all solvable, the switched feedback control law and the switching law are designed using the average dwell-time method. The corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.

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