Robust control of tracking reference input signal with time-delay for switched systems with time-delay

Robust tracking control for switched linear systems with time-varying delays is investigated. The tracked reference Signal is also with time-varying delay. The delays can be different. By using average dwell-time method, piecewise Lyapunov function method and the free weighting matrix approach, the sufficient conditions for the solvability of robust tracking control problem are developed. The switching control laws are obtained which can guarantee the stability and weighted H_∞ model reference robust tracking performance of the switched systems. The sufficient conditions are given by linear matrix inequalities which are easy to solve. An example is given to show the feasibility and effectiveness of the result.