Relaxed filtering designs for continuous-time nonlinear systems via novel fuzzy H_∞ filters

摘要

This paper investigates the problem of H_∞ filtering for continuous-time nonlinear systems in the Takagi-Sugeno (T-S) fuzzy model form. Different from the existing fuzzy H_∞ filters, a novel filter is designed such that the filter matrices are homogeneous polynomially parameter dependent on membership functions with an arbitrary degree. By developing both the novel fuzzy H_∞ filter and a kind of slack matrix variable technique, relaxed filtering conditions for implementing the H_∞ filter are proposed in terms of linear matrix inequalities (LMIs), while the filtering error system preserves a smaller prescribed H_∞ performance index than the existing ones. Finally, a numerical example is given to illustrate to show the effectiveness of the proposed approach.