In this paper, the T-S fuzzy model approach is extended to design a fuzzy state feedback controller for the stabilizability of a fuzzy system with multiple non-commensurate time delays. Based on Riccati-type inequalities and delay-dependent Lyapunov functional approach, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole fuzzy time-d...

The problem of robustly stabilising a class of nonlinear systems using an H1 fuzzy observer-based controller is considered. A class of nonlinear systems is approximated by a Takagi–Sugeno fuzzy model. A sufficient condition is derived to ensure the robust stability of the fuzzy observer-based controller with guaranteed H1 disturbance attenuation level. The observer and controller design problem...

⎯The passivity and feedback passification problems of fuzzy systems with parameter uncertainties and impulse are first presented in this paper. Based on the parallel distributed compensation (PDC) technique, some passivity and passification conditions are proposed in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the correctness and effectiveness of our theoret...

The paper relates a principle for designing the fuzzy fault detection filters devoted to a class of continuous-time nonlinear systems represented by TakagiSugeno models. The extension of the fuzzy reference model principle and the incremental quadratic constraints are proposed to obtain an approximation of H∞/H_ criterion in the residual weight matrix parameter design for TS fuzzy fault detecti...

This paper addresses the problem of H∞ fuzzy observer-based non-PDC controller design for uncertain T-S fuzzy systems with external disturbances. The synthesis of the observer-based controller is based on a fuzzy Lyapunov function and the descriptor redundancy approach. Moreover, the design is extended for the problem with control constraint. The observer and controller gains are obtained by so...

This paper addresses the problem of passivity analysis issue for a class of fuzzy bidirectional associative memory (BAM) neural networks with Markovian jumping parameters and time varying delays. A set of sufficient conditions for the passiveness of the considered fuzzy BAM neural network model is derived in terms of linear matrix inequalities by using the delay fractioning technique together w...

Inference mechanisms and interpretations of fuzzy rule bases are studied together from the point of view of systems of fuzzy relation equations. A proper use of an inference mechanism connected to a fuzzy relation interpreting a fuzzy rule base is certified by keeping the fundamental interpolation condition. The paper aims at new solutions of systems of fuzzy relation equations which are motiva...