Matrix Inequality Conditions for Dissipativity of Continuous-Time Descriptor Systems and Its Application to Synthesis of Control Gains

Author:	Masubuchi Izumi, Hiroshima University, Japan
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems I
Keywords:	descriptor systems, dissipativity, LMIs

Abstract

This paper is concerned with a KYP-type result for descriptor systems. A matrix inequality is shown that provides a necessary and sufficient condition of dissipativity of descriptor systems, without any additional restriction on the realization unlike previous results. Further, a dual matrix inequality condition is derived and applied to synthesis of control gains to attain dissipativity by solving LMIs.