Central suboptimal H∞ filter design for nonlinear polynomial systems

This paper presents the central finite-dimensional H infin filter for nonlinear polynomial systems, that is suboptimal for a given threshold gamma with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously o...

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Bibliographic Details
Main Authors: Basin, M., Peng Shi, Calderon-Alvarez, D.
Format: Conference Proceeding
Language:English
Subjects:
Attenuation
Centralized control
Control systems
Filtering theory
Hydrogen
Linear systems
Nonlinear control systems
Nonlinear equations
Nonlinear filters
Polynomials
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Summary:This paper presents the central finite-dimensional H infin filter for nonlinear polynomial systems, that is suboptimal for a given threshold gamma 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 infin filtering problem to the corresponding optimal H 2 filtering problem, using the technique proposed. The paper designs the central suboptimal H infin filter for the general case of nonlinear polynomial systems, based on the optimal H 2 filter given. The central suboptimal H infin 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 infin filter available for the corresponding linearized system.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2009.5160050