Tracking Control for Switched Linear Systems with Time-Delay

Abstract Tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient conditions for the solvability of the tracking control problem are given respectively for the cases that the state of system is measurable and unmeasurable. When the state is measurable, we design a switching control law to achieve the H∞ model reference tracking performance. When the state is not available, the design of a switching control law based on measured output instead of the state information is considered. Lyapunov function methods are utilized to the stability analysis and controller design for the switched linear systems with time-delay. By using linear matrix inequalities and convex optimization techniques, the controller design problem can be solved efficiently. The simulation examples show the validity of the switching control laws.

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