Central suboptimal H-infinity filter design for nonlinear polynomial systems

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Basin, Michael, 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


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

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/4144
DOI 10.1002/acs.1074
Official URL http://dx.doi.org/10.1002/acs.1074
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID19353, H∞ filtering, nonlinear polynomial systems, robust filtering
Citations in Scopus 26 - View on Scopus
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