This paper focus several stability issues regarding the modeling of the dynamics of qualitative real world systems, and the ability of Fuzzy Cognitive Maps and Rule -Based Fuzzy Cognitive Maps to provide a faithful modeling in what concerns the stability properties of those systems. It also introduces the concept of Intrinsic Stability as a necessary property of qualitative system dynamics mode...

in this paper, a theorem is derived for the existence of a common quadratic Lyapunov function for stability analysis of TSK fuzzy model. This paper proposed a new method based on stochastic stability. In this paper we study the stochastic stability properties of certain TSK Fuzzy system has been studied.

Abstract In this paper, a stability control approach of flexible joint robot (FJR) based T-S fuzzy model using fuzzy Lyapunov function is proposed. First, the Takagi and Sugeno (T-S) fuzzy model is employed to approximate the flexible joint robot, then a fuzzy controller is developed based on parallel distributed compensation principle (PDC). The non-quadratic stability conditions for the flexi...

This paper presents an indirect adaptive system based on neuro-fuzzy approximators for the speed control of induction motors. The uncertainty including parametric variations, the external load disturbance and unmodeled dynamics is estimated and compensated by designing neuro-fuzzy systems. The contribution of this paper is presenting a stability analysis for neuro-fuzzy speed control of inducti...

In this paper, the stability of polynomial fuzzy-model-based (PFMB) observercontrol system is investigated via Lyapunov stability theory. The polynomial fuzzy observer with unmeasurable premise variables is designed to estimate the system states. Then the estimated system states are used for the state-feedback control of nonlinear systems. Although the consideration of the polynomial fuzzy mode...

This paper presents a new relaxed stability condition for Takagi-Sugeno (T-S) fuzzy control systems. Using quadratic fuzzy Lyapunov functions (QFLFs), the stability of closed-loop control system is guaranteed by the negative definiteness of several fuzzy summations. However, since the membership functions are continuous, the negative definiteness of these fuzzy summations implies an infinite nu...

This paper presents the stability and H∞ tracking performance design of a fuzzy-model-based descriptor system to attenuate the effects caused by unmodeled dynamics, disturbances, and approximation errors. First, the nonlinear descriptor system is represented by an equivalent Takagi-Sugeno type fuzzy model. Then, a fuzzy observer-based state feedback control scheme is developed to restrain the e...

in front wheels driven vehicles, fuel economy can be obtained by summing torques applied to rear wheels. on the other hand, unequal torques applied to rear wheels provides enhanced safety. in this paper, a model with seven degrees of freedom is considered for the vehicle body. thereafter, power-train subsystems are modeled. considering an electrical machine on each rear wheel, a fuzzy controlle...