Speciifc H_{\infty} Synthesis For Time Delay Systems

Abstract

The problems arising in Time Delay Systems (TDS) have increased complexity with respect to those related to Linear Delay Free Systems. Linear Matrix Inequalities (LMI) proved to be a useful instrument for solving several control problems (see [1]). The present paper is approaching the dynamic output feedback H_{\infty} control problem for a class of TDS, where both the state dynamics and the output depends on the delayed states. Two new procedures are proposed to solve the optimal and the sub-optimal H_{\infty} control problems.