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

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Basin, Michael V ORCID: 0000-0002-7274-4303, Shi, Peng ORCID: 0000-0001-8218-586X, 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

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/4145
DOI 10.1007/s00034-008-9077-0
Official URL http://dx.doi.org/10.1007/s00034-008-9077-0
Subjects Historical > SEO Classification > 970109 Expanding Knowledge in Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID19348, H-infinity filtering, nonlinear system, state delay, measurement delay
Citations in Scopus 36 - View on Scopus
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