Dissipativity inequalities for continuous-time descriptor systems with applications to synthesis of control gains

This paper is concerned with a KYP-type result for descriptor systems. Matrix inequalities are shown that provide necessary and sufficient conditions of dissipativity of descriptor systems, without such restriction on the realization of descriptor systems as in many of previous results. Furthermore, LMI conditions are presented for synthesis of control gains to attain dissipativity of feedback systems represented in the descriptor form

Output feedback controller synthesis for descriptor systems satisfying closed-loop Dissipativity

This paper is concerned with synthesis of output feedback controllers for descriptor systems to attain dissipativity of the closed-loop system. A necessary and sufficient condition is provided in terms of LMIs for the existence of a controller satisfying dissipativity and admissibility (an internal stability) of the closed-loop system. Unlike previous results, the condition does not depend on the choice of the descriptor realization. The derived LMI condition with a rank constraint for synthesis is a generalization of those for LMI-based H∞ control of state-space systems to descriptor systems

Synthesis of Memory Gain-Scheduled Controllers for Discrete-Time LPV Systems

This paper considers synthesis of discrete-time gain-scheduled controllers for linear parameter varying systems based on linear matrix inequalities (LMIs). Unlike most of the previous results, gain-scheduled controllers that depend on memory of the scheduling parameters are investigated in this paper. Through the method of change-of-variables, parameter-dependent LMIs are obtained for synthesis of gain-scheduled controllers from extended LMIs for H8 and H2 performances. Numerical examples are provided to illustrate the proposed synthesis methods