H∞ output feedback control for two-dimensional continuous systems

Abstract

This paper is concerned with the problem of H∞ control for two-dimensional (2-D) continuous systems described by the Roesser state space model. Attention is focused on the design of full-order dynamic output feedback controllers which not only stabilize the given 2-D continuous system, but also reduce the H∞ norm of the closed-loop transfer function, from the disturbance to the controlled output, to a prescribed level. A version of the bounded realness of 2-D continuous systems is established. Based on this, a sufficient condition for the solvability of the H∞ control problem is obtained in terms of a set of linear matrix inequalities (LMIs). Then, a desired dynamic output feedback controller can be constructed by solving these LMIs. Finally, an illustrative example is provided to demonstrate the applicability of the proposed method. Copyright © 2008 Watam Press.