This paper studies the problem of designing robust switched filters for time-varying polytopic uncertain systems. The synthesis conditions for a set of filters under a min-switching rule are derived to guarantee globally asymptotical stability with optimized robust performance. Specifically, the conditions are expressed as bilinear matrix inequalities (BMIs) and can be solved by linear matrix inequality (LMI) optimization techniques. The proposed approach utilizes a piecewise quadratic Lyapunov function to reduce the conservativeness of robust filtering methods based on single Lyapunov function, thus better performance can be achieved. Both continuous and discrete-time robust filter designs are considered. To simplify filter implementation, a method to remove redundancy in min-switching filter members is also introduced. The advantages of the proposed robust switching filters are illustrated by several examples.
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November 2013
Research-Article
Robust Switched Filtering for Time-Varying Polytopic Uncertain Systems
Fen Wu
Fen Wu
1
e-mail: fwu@eos.ncsu.edu
Department of Mechanical and
Aerospace Engineering,
Department of Mechanical and
Aerospace Engineering,
North Carolina State University
,Raleigh, NC 27695
1Corresponding author.
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Chang Duan
e-mail: cduan@ncsu.edu
Fen Wu
e-mail: fwu@eos.ncsu.edu
Department of Mechanical and
Aerospace Engineering,
Department of Mechanical and
Aerospace Engineering,
North Carolina State University
,Raleigh, NC 27695
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 12, 2012; final manuscript received July 13, 2013; published online August 23, 2013. Assoc. Editor: YangQuan Chen.
J. Dyn. Sys., Meas., Control. Nov 2013, 135(6): 061013 (10 pages)
Published Online: August 23, 2013
Article history
Received:
November 12, 2012
Revision Received:
July 13, 2013
Citation
Duan, C., and Wu, F. (August 23, 2013). "Robust Switched Filtering for Time-Varying Polytopic Uncertain Systems." ASME. J. Dyn. Sys., Meas., Control. November 2013; 135(6): 061013. https://doi.org/10.1115/1.4025027
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