Abstract
The problem of the state tracking over a finite-time interval is concerned in this paper. Based on the average dwell-time method, both matched and unmatched cases are considered in the system. To make the state tracking error is finite-time bounded and the considered system achieves a weighted H ∞ performance for the exogenous disturbance, the switching law is designed by the states error. Sufficient conditions for the design of switching law are formulated by the aid of error Lyapunov-like function. A varied average dwell-time is obtained that it is less than the traditional average dwell-time over a finite-time interval. Finally, a numerical example is given to illustrate the effectiveness of the proposed design method.
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