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Robust Output Feedback Stabilization of Switched Nonlinear Systems with Average Dwell Time
Author(s) -
Chiang MingLi,
Fu LiChen
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.699
Subject(s) - dwell time , control theory (sociology) , nonlinear system , lyapunov function , quadratic equation , nonlinear control , stability (learning theory) , controller (irrigation) , output feedback , mathematics , computer science , control (management) , physics , medicine , clinical psychology , geometry , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
For some switched nonlinear systems, stabilization can be achieved under arbitrary switching with state feedback control. Due to switching zero dynamics, output feedback stabilization for some switched nonlinear systems needs dwell time between switching to guarantee system stability. In this paper, we consider a class of switched nonlinear systems with unknown parameters and unknown switching signals. We design a robust output feedback controller that stabilizes the system under a class of switching signals with average dwell time (ADT) where the value of ADT can be reduced by adjusting the control gain. For some special cases, common quadratic Lyapunov functions of the closed‐loop systems can be found and the value of ADT is further relaxed. Some examples and simulations are provided to validate the results.