ROBUST STABILIZATION OF NON-STANDARD SINGULARLY PERTURBED SYSTEMS WITH UNCERTAINTIES

摘要

This paper considers the robust stabilization of singularly perturbed systems with time-varying unknown-but-bounded uncertainties. The implicit function theorem is used to prove the sufficient condition for stability of the closed-loop system. The construction of the stabilizing controller involves solving slow and fast algebraic Riccati equations. It is shown that if the reduced-order slow and fast algebraic Riccati equations have positive definite stabilizing solution then the obtained uncertainclosed-loop system with the proposed e-independent controller is quadratically stable. The main contribution of this paper is that the sufficient condition for stability derived here is independent of the parameter ε. Furthermore, our new results applyto the both standard and non-standard singularly perturbed systems.