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Robust H-infinity filtering on uncertain systems under sampled measurements

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Abstract

This paper is concerned with the problem of robust H-infinity filtering on uncertain systems under sampled measurements, both continuous disturbance and discrete disturbance are considered in the systems. The parameter uncertainty is assumed to be time-varying norm-bounded. The aim is to design an asymptotically stable filter, using the locally sampled measurements, which ensures both the robust asymptotic stability and a prescribed level of H-infinity performance for the filtering error dynamics for all admissible uncertainties. The derivation process is simplified by introducing auxiliary systems and the sufficient condition for the existence of such a filter is proposed. During the study, the main results were expressed as LMIs by employing various matrix techniques. Using LMI toolbox of Matlab software, it is very convenient to obtain the appropriate filter. Finally, a numerical example shows that the method is effective and feasible.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Ping Sun & Yuanwei Jing

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  1. Ping Sun
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  2. Yuanwei Jing
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Additional information

This work was supported by the National Natural Science Foundation of China (No.60274009) and the National Program (863) of High Technology Development(No.2004AA412030).

Ping SUN was born in 1974, in Shenyang, China. She received the B.S degree from Shenyang Normal University in Mathematics Department in 1998. She also received M.S. degree from Northeastern University in Automatic Control Department in 2004. She is currently a Ph.D. candidate at the School of Information Science and Engineering, Northeastern University. Her main research interests include robust control and filtering.

Yuanwei JING was born in 1956, in Shenyang, China. He currently works at Northeastern University as a professor and Ph.D. candidate supervisor. He received his B.S degree from Liaoning University in Mathematics Department in 1981. He also received M.S degree and Ph.D. in Automatic Control Department of Northeastern University in 1984 and 1988 respectively. As a Post-doctor fellow, he researched in Faculty of Electrical Engineer of Saint Cyril and Saint Methodius University in 1996. From 1998 to 1999, he was a senior visiting scholar in Faculty of Computer Science Telecommunication of Missouri-Kansas City University. His research interests include complex systems, telecommunication control etc.

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Sun, P., Jing, Y. Robust H-infinity filtering on uncertain systems under sampled measurements. J. Control Theory Appl. 4, 379–384 (2006). https://doi.org/10.1007/s11768-006-5305-y

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  • DOI: https://doi.org/10.1007/s11768-006-5305-y

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