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Technical Briefs

Delay-Dependent L1 Filtering for LPV Systems With Parameter-Varying Delays

[+] Author and Article Information
Yanhui Li1

Electrical and Information Engineering College, Northeast Petroleum University, Daqing, Heilongjiang Province 163318, P. R. Chinaly_hui@hotmail.com

Yan Liang

Electrical and Information Engineering College, Northeast Petroleum University, Daqing, Heilongjiang Province 163318, P. R. Chinaliang_yan2003@sina.com

Xionglin Luo

Research Institute of Automation, China University of Petroleum, Beijing 102249, P. R. Chinaluoxionglin@bj163.com

1

Corresponding author.

J. Dyn. Sys., Meas., Control 133(4), 044502 (Apr 08, 2011) (4 pages) doi:10.1115/1.4003384 History: Received January 11, 2010; Revised December 18, 2010; Published April 08, 2011; Online April 08, 2011

The paper investigates the problems of delay-dependent L1 filtering for linear parameter-varying (LPV) systems with parameter-varying delays, in which the state-space data and the time delays are dependent on parameters that are measurable in real-time and vary in a compact set with bounded variation rate. The attention is focused on the design of L1 filter that guarantees the filtering error system to be asymptotically stable and satisfies the worst-case peak-to-peak gain of the filtering error system. In particular, we concentrate on the delay-dependent case, using parameter-dependent Lyapunov function, the decoupled peak-to-peak performance criterion is first established for a class of LPV systems. Under this condition, the admissible filter can be found in terms of linear matrix inequality (LMI) technology. According to approximate basis function and the gridding technique, the filter design problem is transformed into feasible solution problem of the finite parameter LMIs. Finally, a numerical example is provided to illustrate the feasibility of the developed approach.

Copyright © 2011 by American Society of Mechanical Engineers
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