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...

In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchron...

An alternate approach to the analysis of a Takagi-Sugeno (T-S) fuzzy model is dealt with in this paper. The proposed approach is employed to search for eigenvalues of a T-S fuzzy model in any mixed weighting cases. This effective method is developed by a well-known Routh stability criterion as well as the root locus method to judge the stability of the nonlinear system approximated by a T-S fuz...

Controller design strategy for Takagi-Sugeno (T-S) fuzzy systems is considered in the two-degree-of-freedom (TDOF) framework. Firstly, coprime factorization described in the state space formulas for T-S fuzzy systems is introduced based on a common Lyapunov function. Secondly, based on this coprime factorization, TDOF framework for LTI systems is extended to be applied to T-S fuzzy systems. Con...

Since the 2-DOF rehabilitation robot actuated by pneumatic muscle actuators (PMAs) has highly nonlinear and time-varying behavior due to gas compression and nonlinear elasticity of bladder containers, it is difficult to achieve excellent control performance using classical control methods. Here, this study proposes a novel Takagi-Sugeno(T-S) fuzzy approach to improve tracking performance. The T...

A new method called cuckoo search (CS) is used to extract and learn the Takagi-Sugeno (T-S) fuzzy model. In the proposed method, the particle or cuckoo of CS is formed by the structure of rules in terms of number and selected rules, the antecedent, and consequent parameters of the T-S fuzzy model. These parameters are learned simultaneously. The optimized T-S fuzzy model is validated by using t...

The advantage of solving the complex nonlinear problems by utilizing fuzzy logic methodologies is that the experience or expert’s knowledge described as a fuzzy rule base can be directly embedded into the systems for dealing with the problems. The current limitation of appropriate and automated designing of fuzzy controllers are focused in this paper. The structure discovery and parameter adjus...

We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with respect to a t-conorm. Some properties of the direct product and S-product of fuzzy ideals of BCK-algebras with respect to a t-conorm are also disc...

In this paper, we propose new sets of criteria for exponential robust stability of Takagi-Sugeno (T-S) fuzzy Hopfield neural networks. The L2−L∞ approach is applied to obtain new sets of stability criteria, under which T-S fuzzy Hopfield neural networks reduce the effect of external input to a prescribed level. These sets of criteria are presented based on the matrix norm and linear matrix ineq...