Design of Observers for Takagi-Sugeno Systems with Immeasurable Premise Variables : An L2 Approach

Control Design of Fuzzy Systems with Immeasurable Premise Variables

The Takagi-Sugeno fuzzy model is described by fuzzy if-then rules which represent local linear systems of the underlining nonlinear systems (Takagi & Sugeno, 1985; Tanaka et al., 1996; Tanaka & Sugeno, 1992) and thus it can describe a wide class of nonlinear systems. In the last decade, nonlinear control design methods based on Takagi-Sugeno fuzzy system have been explored. Since the stability ...

Robust Takagi-Sugeno sensor fault tolerant control strategy for nonlinear system

Design of Observers for Takagi-sugeno Discrete-time Systems with Unknown Premise Variables

this paper deals with the problem of the state estimation of discrete time nonlinear systems described by Takagi-Sugeno structure where the premise variables are not measurable. The proposed observer design method is based on the use of the second method of Lyapunov and a quadratic function. Based on this procedure two methods are proposed. The convergence conditions of the observer are express...

Design of nonlinear parity approach to fault detection and identification based on Takagi-Sugeno fuzzy model and unknown input observer in nonlinear systems

In this study, a novel fault detection scheme is developed for a class of nonlinear system in the presence of sensor noise. A nonlinear Takagi-Sugeno fuzzy model is implemented to create multiple models. While the T-S fuzzy model is used for only the nonlinear distribution matrix of the fault and measurement signals, a larger category of nonlinear systems is considered. Next, a mapping to decou...

Observer Design for Takagi-Sugeno Descriptor System with Lipschitz Constraints

This paper investigates the design problem of observers for nonlinear descriptor systems described by Takagi-Sugeno (TS) system; Depending on the available knowledge on the premise variables two cases are considered. First a TS descriptor system with measurables premises variables are proposed. Second, an observer design which satisfying the Lipschitz condition is proposed when the premises var...