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Central suboptimal H-infinity filter design for linear time-varying systems with state or measurement delay

Basin, Michael and Shi, Peng and Calderon-Alvarez, Dario and Wang, Jianfei (2009) Central suboptimal H-infinity filter design for linear time-varying systems with state or measurement delay. Circuits Systems and Signal Processing, 28 (2). pp. 305-330. ISSN 0278-081X

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Abstract

This paper presents central finite-dimensional H ∞ filters for linear systems with state or measurement delay that are suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including an attenuation control term with opposite sign. In contrast to the results previously obtained for linear time-delay systems, the paper reduces the original H ∞ filtering problems to H 2 (optimal mean-square) filtering problems, using the technique proposed in Doyle et al. (IEEE Trans. Automat. Contr. AC-34:831–847, 1989). The paper first presents a central suboptimal H ∞ filter for linear systems with state delay, based on the optimal H 2 filter from Basin et al. (IEEE Trans. Automat. Contr. AC-50:684–690, 2005), which contains a finite number of filtering equations for any fixed filtering horizon, but this number grows unboundedly as time goes to infinity. To overcome that difficulty, an alternative central suboptimal H ∞ filter is designed for linear systems with state delay, which is based on the alternative optimal H 2 filter from Basin et al. (Int. J. Adapt. Control Signal Process. 20(10):509–517, 2006). Then, the paper presents a central suboptimal H ∞ filter for linear systems with measurement delay, based on the optimal H 2 filter from Basin and Martinez-Zuniga (Int. J. Robust Nonlinear Control 14(8):685–696, 2004). Numerical simulations are conducted to verify the performance of the designed three central suboptimal filters for linear systems with state or measurement delay against the central suboptimal H ∞ filter available for linear systems without delays.

Item Type: Article
Uncontrolled Keywords: ResPubID19348, H-infinity filtering, nonlinear system, state delay, measurement delay
Subjects: SEO Classification > 970109 Expanding Knowledge in Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 13 Jun 2011 23:52
Last Modified: 25 Jul 2011 03:05
URI: http://vuir.vu.edu.au/id/eprint/4145
DOI: 10.1007/s00034-008-9077-0
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Citations in Scopus: 19 - View on Scopus

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