In this paper, based on the off-axis circle criterion, a sufficient condition with a simple graphical explanation is derived to analyze the global asymptotic stability of a type of Takagi-Sugeno (T-S) fuzzy control systems in case of different constant reference inputs. Three numerical examples are given to demonstrate how to use the proposed method in analyzing the T-S fuzzy control systems.

This paper addresses the issue of piecewise integral sliding mode control for T-S fuzzy systems. Integral sliding mode control (ISMC) is chosen to stabilize the T-S fuzzy system because of its superior capability in treating uncertainties. Individual integral sliding surfaces are designed in different operating regions of the T-S fuzzy system. Conditions on existence of the sliding mode in the ...

1 An approach to fuzzy control of nonlinear systems: Stability and design issues Wang, HO; Tanaka, K; Griffin, MF IEEE TRANSACTIONS ON FUZZY SYSTEMS 1029 STABILITY ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEMS TANAKA, K; SUGENO, M FUZZY SETS AND SYSTEMS 1013 Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs Tanaka, K; Ikeda, T; Wang, HO IEEE TRANSACTIONS ON...

This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential...

This paper mainly investigates fuzzy control with affine T-S delayed models, which can be applied to some nonlinear systems. Motivated from performing the linearization process associated with distinct operating points for nonlinear systems, an affine T-S fuzzy model with delayed state is addressed. The overall control then can be performed by the fuzzy inference mechanism, in which the consequ...

This paper deals with the fuzzy based H∞ control problem for time-delay affine Takagi-Sugeno (T-S) fuzzy models. A class of nonlinear time-delay systems is approximated by a time-delay affine T-S fuzzy model in this paper. Based on LyapunovRazumikhin theorem and S-procedure, the stability and stabilization problems are solved by employing a Parallel Distributed Compensation (PDC) type H∞ fuzzy ...

This paper presents fuzzy model-based designs for control and synchronization of new chaotic system. The T–S fuzzy models for new chaotic systems are exactly derived. Then the asymptotic stability and synchronization are achieved by generalized backstepping method. On the other hand, this paper presents fuzzy model-based designs for synchronization of another chaotic system. Based on the T–S fu...

Based on the switching Takagi-Sugeno (T-S) fuzzy control theorem, this study investigates the position control for a developed differential-drive two-wheeled mobile robot (TWMR). The developed TWMR is introduced, followed by a description of the kinematic equations of the TWMR, which are represented by exact T-S fuzzy systems. The uncontrollable problem of the derived T-S fuzzy model is avoided...

This paper proposes an approach to active fault tolerant control (AFTC) of a variable-speed wind turbine subject to actuator faults. The actuator faults in the turbine pitch system and generator system are considered in this work. Takagi-Sugeno (T-S) fuzzy modeling of the combined driver train, pitch and generator systems is proposed to account for nonlinearities in the dynamics. Moving horizon...

This paper is concerned with the problem of guaranteed cost controller design control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the performance of the T-S fuzzy systems is derived, which can be transferred into problem of minimizing the trace of a matrix. By introducin...