This paper deals with qualitative evaluation processes when the worth of items is computed by means of Sugeno integral. One limitation of this approach is the coarse ranking of items it produces. In order to refine this ranking, generalizations of leximin and leximax to Sugeno integrals are studied. Numerical encodings of such generalized lexicographic methods are described by means of mappings...

This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in Finite Frequency (FF) domain. Sufficient conditions designing DOF are derived terms sum squares (SOS). The proposed strategy is built FF domain to reduce conservation-generated by techniques established whole frequency In addition, there no transformation matrices o...

The relevance of bifurcation analysis in Takagi–Sugeno (T–S) fuzzy systems is emphasized mainly through examples. It is demonstrated that even the most simple cases can show a great variety of behaviors. To understand the richness of asymptotic dynamics, one can find in T–S systems, a methodology is proposed by invoking bifurcation theory. Several local and global bifurcations (some of them, de...

Recently, the local stability and local stabilization problems have been investigated by several authors for nonlinear systems described by Takagi–Sugeno (T–S) fuzzy systems. In this paper, we study the local stabilization problem for discrete-time T–S fuzzy systems with magnitudeand energy-bounded disturbances. The control design problem is cast as a linear matrix inequality (LMI) optimization...

Stability issues of linear Takagi–Sugeno (T–S) fuzzy models are investigated. We first propose a systematic way of searching for a common matrix, which, in turn, is related to stability for N subsystems that are under a pairwise commutative assumption. The robustness issue under uncertainty in each subsystem is then considered. We then show that the pairwise commutative assumption can, in fact,...

-This study addresses a fuzzy Lyapunov method for the stability analysis of time-delay fuzzy systems subject to external disturbances. The Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy controller in order to stabilize the time-delay fuzzy systems. According to the controlled system, the H infinity criterion is d...

This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi–Sugeno (T–S) fuzzy models. The main features of the proposed method are that it is provided that the sufficient conditions for stabilization of the discrete-time T–S fuzzy system deri...

It is considered t the Takagi-Sugeno-Kang fuzzy neural network and its modern variations. The use of regularization, random exclusion rules from rule base allows solving problem excessive similarity in base. batch normalization to increase generalizing properties accuracy model, while maintaining possibility interpreting results, which characteristic networks. proposed an ensemble networks capa...

Sugeno integral was invented a few decades ago as a natural fuzzy analogue of the classical integral Sugeno integral has many interesting applications It is reasonable to expect that it can be used in all application areas where classical integrals are used and in many such areas it is in deed useful Surprisingly however it has never been used in fuzzy control although in traditional control cl...

When controlling Takagi-Sugeno fuzzy systems, verification of some sector conditions is usually assumed. However, setpoint changes may alter the sector bounds. Alternatively, setpoint changes may be considered as an offset addition in many cases, and hence affine Takagi-Sugeno models may be better suited to this problem. This work discusses a nonconstant change of variable in order to carry out...