Compensation and division control law for fuzzy models

Abstract

AbStEWtThis paper denls witb the stability and &Minkion of Takagi-Sugeno (T.9 [SI huzy models by the rneaus of a special type of control law, d e d here the Cornpeasation and Divisios for Fuly models. In order to prove the stability results, we will use a Lyapuaov approach [91 141. The whole approach can be put in the form of a list of LMIs can that be conveniently computed. We show ia this paper that the CDF we get is less conservative than previous contml laws.

Fuzzy controller with stability and performance rules for nonlinear systems

“…In [4], a two-step LMI procedure was proposed to solve this kind of LMI problem. Referring to Lemma 1, two generalized eigenvalue problems (GEVPs) are defined as follows.…”

“…The last c rules are responsible to adjust the nominal system performance. Without the performance rules, the fuzzy controller can be regarded as a more general form of the fuzzy controller proposed in [4]. The jth rule of the fuzzy controller is of the following format,…”