Sub-Optimal Output Tracking Control for Singularly Perturbed Systems

In this paper, the problem of sub-optimal output tracking control of singularly perturbed systems is considered. The necessary and sufficient condition for the existence of sub-optimal output tracking controller is given in terms of matrix inequalities, such that the tracking system achieves the asymptotic tracking and the minimum value of quadratic performance index can be obtained. Furthermore, the controller design method is presented in the form of LMI for the case that the controller has an approximate solution of the generalized Riccati equation. Finally, one numerical example is given to illustrate the correctness and feasibility of the proposed results.