In this paper, the notions of $(T,S)$-composition matrix and$(T,S)$-interval-valued intuitionistic fuzzy equivalence matrix areintroduced where $(T,S)$ is a dual pair of triangular module. Theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. Furthermore, theirproperties and characterizations are presented. Then a new methodbased on $tilde{...

In this paper, a novel fault-tolerant control scheme is proposed for a class of uncertain multiple-input-multiple-output (MIMO) nonlinear systems based on online fuzzy clustering and identification. The unknown nonlinear function of the system is identified online using an evolving Takagi-Sugeno (T-S) fuzzy model and the fault-tolerant control law is designed based on the identified fuzzy model...

On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K. Atanassov, the notion of interval valued intuitionistic fuzzy subsemimodule of a semimodule with respect to t-norm T and s-norm S is given and the characteristic properties are described. The homomorphic image and inverse image are investigated. In particular, by the help of the congruence relations on...

⎯ In our paper, the properties of the simplest Takagi-Sugeno (T-S) fuzzy controller are first investigated. Next, based on the well-known Popov criterion with graphical interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy control system. Since this sufficient condition is presented in the frequency ...

DC microgrid offers high efficiency, simple control, and reduced conversion stages advantages, but suffers from induced instability caused by its low inertia. Due to the strong nonlinearity of microgrid, analysis large-signal stability (LSS) is a very challenging task. This paper uses T-S fuzzy model (TSFM) method investigate LSS with various loads, which connected AC grid. The TSFM grid-connec...

In this study, we propose evolutionary instance selection based on the Takagi-Sugeno (T-S) fuzzy model. The previous neural network with weighted fuzzy membership functions (NEWFM) supports feature selection; thus, it enables the selection of minimum features with the highest performance. The enhanced NEWFM supports a weighted mean defuzzification in the T-S fuzzy model with a confidence interv...

The inverted pendulum is a highly nonlinear and open loop unstable system. To develop an accurate model of the inverted pendulum, different linear and nonlinear methods of identification will be used. However one of the problems encountered during modeling is the collection of experimental data from the inverted pendulum system. Since the output data from the unstable system does not show enoug...