Peak Controllers for Uncertain Linear Delayed Systems under Initial Conditions

Authors:	Liu Fei, Southern Yangtze University, China Li Suzhou, Southern Yangtze University, China
Topic:	2.1 Control Design
Session:	Control Design II
Keywords:	Performance indices, Reachable states, Initial state, Robustness, Time-delay.

Abstract

This paper extends peak-to-peak gain control of linear system to linear delayed systems. In the proposed method, the supremum of 2-norm is used instead of -norm, and local stabilization is used instead of global stabilization. While the reachable set of the dynamic delayed systems is bounded by an inescapable ellipsoid, a state feedback controller is determined under a given initial state condition. As main results, the state ball of initial condition for the system bearing time-delay is explicitly computed. The corresponding peak index controller is formulated in terms of linear matrix inequalities. The robustness and minimization problems of peak-to-peak gain control are also discussed.