Feedback Control of Linear Multiparameter Singularly Perturbed Systems

Abstract

In this paper, the linear quadratic optimal control problem for multiparameter singularly perturbed systems (MSPS) is studied in a different approach from the existing methods. The attention is focused on the design of a near-optimal controller which does not depend on the values of the small unknown parameters. It is shown that the resulting controller achieves O(||µ|| 2 ) approximation of the optimal cost for the special case of the fast subsystems compared with the existing results. Moreover, it is also shown that the resulting controller is equivalent to the existing composite controller.