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Tracking control for switched linear systems with time‐delay: a state‐dependent switching method
Author(s) -
Li QingKui,
Zhao Jun,
Dimirovski Georgi M.,
Liu XiangJie
Publication year - 2009
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.132
Subject(s) - control theory (sociology) , tracking (education) , control (management) , state (computer science) , controller (irrigation) , lyapunov function , computer science , hysteresis , mathematics , law , nonlinear system , algorithm , psychology , pedagogy , physics , quantum mechanics , artificial intelligence , political science , agronomy , biology
Tracking control for switched linear systems with time‐delay is investigated in this paper. Based on the state‐dependent switching method, sufficient conditions for the solvability of the tracking control problem are given. We use single Lyapunov function technique and a typical hysteresis switching law to design a tracking control law such that the H ∞ model reference tracking performance is satisfied. The controller design problem can be solved efficiently by using linear matrices inequalities. Since convex combination techniques are used to derive the delay independent criteria, some subsystems are allowed to be unstable. It is highly desirable that a non‐switched time‐delay system can not earn such property. Simulation example shows the feasibility and validity of the switching control law. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society