Central suboptimal H_∞ filter design for nonlinear polynomial systems

摘要

This paper presents the central finite-dimensional H_∞ filter for nonlinear polynomial systems, which is suboptimal for a given threshold y 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 H_∞ 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 H_∞ 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.