Stability domain analysis for input-saturated linear systems subject to disturbance via popov criterion: An LMI approach

Abstract

This paper addresses the problem of local stability analysis for linear systems subject to input saturation and persistent disturbance. The stability domain of a system under a saturated linear feedback and subject to persistent disturbance is determined by checking the invariance of a given ellipsoid via Popov criterion. The absolute stability with a finite domain is thus studied from the perspective of solving some inequalities under linear constraints. The estimation of stability domain under a known feedback controller is implemented via the use of Linear Matrix Inequalities (LMIs) and convex optimization. © 2013 Springer-Verlag Berlin Heidelberg.