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Robust Stabilization and Tracking Control for a Class of Switched Nonlinear Systems
Author(s) -
Niu Ben,
Zhao Jun
Publication year - 2013
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.649
Subject(s) - control theory (sociology) , nonlinear system , tracking (education) , tracking error , lyapunov function , state (computer science) , controller (irrigation) , exponential stability , class (philosophy) , full state feedback , computer science , robust control , mathematics , control (management) , artificial intelligence , algorithm , psychology , pedagogy , physics , quantum mechanics , agronomy , biology
This paper addresses the problem of robust stabilization and tracking control for a class of switched nonlinear systems via the multiple Lyapunov functions ( MLFs ) approach. First, a state feedback controller and a state dependent switching law are designed to globally asymptotically stabilize the switched system via linear matrix inequalities ( LMIs ). The main objective of this paper is to develop a tracking control approach that assures global asymptotic output and state tracking with zero tracking error in the steady state. Then, the tracking control is formulated such that the robust H ∞ tracking performance is achieved. Finally, a simulation example is provided to demonstrate the effectiveness of the main method.