H-infinity filtering for time-invariant continuous-discrete linear systems

Abstract

This paper discusses analysis and synthesis technique of H-infinity filtering for time-invariant continuous-discrete linear systems which are composed of continuous systems, discrete systems, and their interconnections. Based on the bounded real lemma, Lyapunov stability conditions and H-infinity constraints are formulated by linear matrix inequalities. Assuming that the eigenvalues of the systems are in a special region, it will be shown that an analytic H-infinity design can be achieved and numerical methods to solve convex optimization problems are feasible in the continuous discrete linear systems. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.