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Central suboptimal H-infinity filter design for nonlinear polynomial systems

Basin, Michael and Shi, Peng and Calderon-Alvarez, Dario (2009) Central suboptimal H-infinity filter design for nonlinear polynomial systems. International Journal of Adaptive Control and Signal Processing, 23 (10). pp. 926-939. ISSN 0890-6327

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Abstract

This paper presents the central finite-dimensional H∞ filter for nonlinear polynomial systems, which is suboptimal for a given threshold with respect to a modified Bolza–Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the paper reduces the original H∞ filtering problem to the corresponding optimal H2 filtering problem, using the technique proposed in (IEEE Trans. Automat. Control 1989; 34:831–847). The paper presents the central suboptimal H∞ filter for the general case of nonlinear polynomial systems based on the optimal H2 filter given in (Int. J. Robust Nonlinear Control 2006; 16:287–298). The central suboptimal H∞ filter is also derived in a closed finite-dimensional form for third (and less) degree polynomial system states. Numerical simulations are conducted to verify performance of the designed central suboptimal filter for nonlinear polynomial systems against the central suboptimal H∞ filter available for the corresponding linearized system

Item Type: Article
Uncontrolled Keywords: ResPubID19353, H∞ filtering, nonlinear polynomial systems, robust filtering
Subjects: 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: 10 Jun 2011 02:11
Last Modified: 12 Jul 2011 01:24
URI: http://vuir.vu.edu.au/id/eprint/4144
DOI: 10.1002/acs.1074
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Citations in Scopus: 10 - View on Scopus

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