Title: H_∞ control with regional stability constraints for high-speed sampling uncertain systems

Authors: Rui Zhang, Yu Yao, Songlin Chen, Kemao Ma

Addresses: Control and Simulation Center, Harbin Institute of Technology, Harbin 150001, China. ' Control and Simulation Center, Harbin Institute of Technology, Harbin 150001, China. ' Control and Simulation Center, Harbin Institute of Technology, Harbin 150001, China. ' Control and Simulation Center, Harbin Institute of Technology, Harbin 150001, China

Abstract: The problem of H_∞ control with regional constraints for polytopic delta operator linear systems is investigated. By the bounded real lemma and constraints on the pole location of systems, a new H_∞ performance criterion with regional constraints is presented. Based on the new performance criterion, a sufficient condition for the parameter-dependent H_∞ controller is derived in terms of linear matrix inequalities. And the designed controller can be obtained from the solution of a convex optimisation problem. The proposed design method makes full use of the parameter-dependent approach, which leads to a less conservative controller than conventional design methods. A numerical example is given to test the feasibility of the proposed approach.

Keywords: H_∞ control; polytopic systems; linear matrix inequality; regional stability constraints; high-speed sampling; uncertain systems; controller design.

DOI: 10.1504/IJMIC.2006.011943

International Journal of Modelling, Identification and Control, 2006 Vol.1 No.3, pp.200 - 205

Published online: 03 Jan 2007 *

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