Title: Design of robust H_∞ filter for a class of delta operator-formulated uncertain system with filter gain variations

Authors: Rui Quan Lin, Ren-chong Peng, Si-lian Chen

Addresses: College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China. ' College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China. ' College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China

Abstract: With the consideration that the filter parameters are of additive norm-bounded variations, based on LMI, a design method of robust H_∞ filter for a class of delta operator-formulated uncertain system is studied in this paper. A numerical example is given to illustrate the effectiveness and the feasibility of the designed procedures. The results show that the designed filter ensure the closed-loop system asymptotically stable and the H_∞ norm of the transfer function matrix from the disturbance input to the estimative state error is bounded by the expected value, even if the parameters of the plant and the filter are of uncertainties.

Keywords: delta operator; uncertain systems; H_∞ filter; variable gain control; LMI; filter design.

DOI: 10.1504/IJSCC.2009.024561

International Journal of Systems, Control and Communications, 2009 Vol.1 No.3, pp.355 - 363

Published online: 09 Apr 2009 *

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