Tracking control for switched linear systems with time - delay: a state - dependent switching method
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KünyeLi, Q. K., Zhao, J., Dimirovski, G. M., Liu, X. C. (2009). Tracking control for switched linear systems with time - delay: A state - dependent switching method. Asian Journal of Control, 11(5), 517-526. http://dx.doi.org/10.1002/asjc.132
Tracking control for switched linear systems with time-delay is investigated gated 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(infinity) 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 call not earn Such property. Simulation example shows the feasibility and validity of the switching control law.