The paper investigates the problems of delay-dependent 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 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.
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July 2011
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Delay-Dependent Filtering for LPV Systems With Parameter-Varying Delays
Yanhui Li,
Yanhui Li
Professor
Electrical and Information Engineering College,
e-mail: ly_hui@hotmail.com
Northeast Petroleum University
, Daqing, Heilongjiang Province 163318, P. R. China
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Yan Liang,
Yan Liang
Electrical and Information Engineering College,
e-mail: liang_yan2003@sina.com
Northeast Petroleum University
, Daqing, Heilongjiang Province 163318, P. R. China
Search for other works by this author on:
Xionglin Luo
Xionglin Luo
Professor
Research Institute of Automation,
e-mail: luoxionglin@bj163.com
China University of Petroleum
, Beijing 102249, P. R. China
Search for other works by this author on:
Yanhui Li
Professor
Electrical and Information Engineering College,
Northeast Petroleum University
, Daqing, Heilongjiang Province 163318, P. R. Chinae-mail: ly_hui@hotmail.com
Yan Liang
Electrical and Information Engineering College,
Northeast Petroleum University
, Daqing, Heilongjiang Province 163318, P. R. Chinae-mail: liang_yan2003@sina.com
Xionglin Luo
Professor
Research Institute of Automation,
China University of Petroleum
, Beijing 102249, P. R. Chinae-mail: luoxionglin@bj163.com
J. Dyn. Sys., Meas., Control. Jul 2011, 133(4): 044502 (4 pages)
Published Online: April 8, 2011
Article history
Received:
January 11, 2010
Revised:
December 18, 2010
Online:
April 8, 2011
Published:
April 8, 2011
Citation
Li, Y., Liang, Y., and Luo, X. (April 8, 2011). "Delay-Dependent Filtering for LPV Systems With Parameter-Varying Delays." ASME. J. Dyn. Sys., Meas., Control. July 2011; 133(4): 044502. https://doi.org/10.1115/1.4003384
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