Generalized non-monotonic Lyapunov functions for analysis and synthesis of Takagi-Sugeno fuzzy systems

摘要

This paper presents new stability and stabilisation conditions in the form of linear matrix inequalities for discretetime Takagi-Sugeno fuzzy systems; they are derived considering a class of non-quadratic Lyapunov functions with multiparametric non-monotonic terms, which significantly enhances the feasibility set of current state-of-the-art results. In addition, extensions to cope with the disturbance attenuation control problem are included. Benchmark numerical examples are provided to illustrate the effectiveness of the proposed approach.