Control of linear multiparameter singularity pertubed systems

Abstract: In this paper, the linear quadratic optimal control 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. The resulting controller achieves O(||µ||2) near–optimal cost compared with previously proposed result in the literature. To obtain such a controller, the existence of a unique and bounded solution of a multiparameter algebraic Riccati equation (MARE) is newly proven