Dissipative control for linear systems with time-varying uncertainty

Abstract

This paper focuses on linear systems which are subjected to time-varying norm-bounded uncertainties in all matrices. We address the problem of designing a linear feedback controller such that the closed-loop is stable and strictly (Q, S, R)-dissipative for all admissible parameter uncertainties. This problem is referred to as the robust strictly (Q, S, R)-dissipative control. It is shown that a solution to the above problem can be obtained by solving a scaled strictly (Q, S, R)-dissipative control problem for which no parameter uncertainty occurs.