In this paper, the problems of robust stabilization and$H_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the Takagi-Sugeno (T-S) fuzzymodel have been studied. By constructing a new Lyapunov-Krasovskiifunctional (LKF) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $H_{infty}$ control scheme are p...

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the char...

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a discrete bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the concept of discrete bipolar universal integral, in order to provide a common framework for bipolar discrete integrals, including as specia...

the paper is concerned with robust stability criteria for takagi- sugeno (t-s) fuzzy systems with distributed delays and time delay in the leakage term. by exploiting a model transformation, the system is converted to one of the neutral delay system. global robust stability result is proposed by a new lyapunov-krasovskii functional which takes into account the range of delay and by making use o...

This study deals with the decentralized sampled-data fuzzy tracking control of a quadrotor unmanned aerial vehicle (UAV) considering communication delay feedback signal. A Takagi–Sugeno (T–S) approach is adopted to represent UAV as two subsystems: position system and attitude system. Unlike most previous studies, novel controller for proposed. In addition, minimize increase in computational com...

We consider a fixed probability μ. For any λ ∈ (−1,∞), we denote by m(λ, μ) the λ-Sugeno measure generated by μ. For a fixed measurable set A, the continuity of the map λ 7−→ ∫ A fdm(λ, μ) is proved, where the integral is either Choquet or Sugeno. The asymptotic (marginal) cases λ = −1 and λ =∞ are studied too. Finally, some concrete computations illustrate the previous theory.

We establish the functional equivalence of a generalized class of Gaussian radial basis function (RBFs) networks and the full Takagi-Sugeno model (1983) of fuzzy inference. This generalizes an existing result which applies to the standard Gaussian RBF network and a restricted form of the Takagi-Sugeno fuzzy system. The more general framework allows the removal of some of the restrictive conditi...

We consider a fixed probability µ. For any () 1, λ ∈ − ∞ , we denote by () , m λ µ the λ-Sugeno measure generated by µ. For a fixed measurable set A, the continuity of the map () , A fdm λ λ µ ∫ ֏ is proved, where the integral is either Choquet or Sugeno. The asymptotic (marginal) cases 1 λ = − and λ = ∞ are studied too. Finally, some concrete computations illustrate the previous theory.

In this paper, we present two results concerning the fuzzy modeling and control of nonlinear systems. The first result is on the approximation of smooth nonlinear dynamical systems using linear Takagi-Sugeno fuzzy models. The second result is on the approximation of smooth nonlinear state-feedback controllers using the the so-called parallel distributed compensation (PDC) controller. Both resul...

It is known that several discrete integrals, including the Choquet and Sugeno integrals as well as some of their generalizations, are comonotonically modular functions. Based on a recent description of the class of comonotonically modular functions, we axiomatically identify more general families of discrete integrals that are comonotonically modular, including signed Choquet integrals and symm...