Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequalities

This paper proposes a numerical stability analysis methodology for the sing leton-type linguistic fuzzy control systems based on optimization technique s. First, it demonstrates that a singleton-type linguistic fuzzy logic cont roller (FLC) can be converted into a region-wise sector-bounded controller or, more generally, a polytopic system by quadratic programming (QP). Next, the convex optimization technique called linear matrix inequalities (LMI) is used to analyze the closed loop of the converted polytopic system. Final ly, the applicability of the suggested methodology is highlighted via simul ation results.