This paper presents a decentralized control problem for stabilizing the nonlinear large-scale descriptor (LSD) systems that use proportional-plus-derivative state (PD) feedback scheme. The have great focus on research because they can contain more physical characteristics than standard state-space systems. At first, each subsystem in LSD system be represented by Takagi-Sugeno (T-S) with interco...

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...

This paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered DIS is modeled using Takagi–Sugeno model (T-S FM) rules and strong interconnections. To derive sufficient stability conditions, the quadratic Lyapunov function (QLF) free-weighting (FWF) are defined. In contrast to ...

For Takagi–Sugeno (T–S) fuzzy systems, relaxed stability conditions are obtained by more effectively enveloping the trajectory of membership functions (MFs) in a unified space MF. Considering an open-loop T–S system, system premise variables operation domain can be divided into series subdomains. Based on MF extremum calculation technique, MFs values each variable corresponding to subdomain cal...

This paper deals with the extension of the positive invariance approach to Takagi-Sugeno fuzzy systems. The saturations on the control are taken into account during the design phase. This attempt is firstly applied to a class of fuzzy systems. Sufficient conditions of asymptotic stability are given ensuring in the same time that the global control is always admissible inside a common polyhedral...

Stability analysis and optimality are important in any systems. In the paper, “Optimal Fuzzy Controller Design: Local Concept Approach,” optimal fuzzy controller is design for Takagi–Sugeno fuzzy model. Unfortunately, it seems that some errors are happen and no simple correction can be done. In this paper, we show that some errors exit in the aforementioned paper with simple and clear examples.

In this paper, fault tolerant compensation for non-linear plants is addressed. Soft fault detection and isolation is performed for a partial sensor fault detection. New method is proposed that combine model predictive controllers with fuzzy Takagi-Sugeno models. An example is presented that illustrates the functionality of the proposed method. Keywords— Fault tolerant control, Fault detection a...

The Takagi-Sugeno (T-S) fuzzy multiple-variable integral control system with fuzzy state observer is designed for the coordinated control of multi-input-multi-output (MIMO) nonlinear boilerturbine system whose operating points vary within a wide range. Linear models are first derived from the original nonlinear model on several operating points. Next the fuzzy multi-variable integral controller...

The event-triggered output feedback fault-tolerant control problem is studied in this paper for interval type-2 Takagi–Sugeno (IT2 T-S) fuzzy large-scale systems with time delays. First, a state observer designed to address the immeasurable states problem. Then, by introducing discrete mechanism, an observer-based decentralized controller dynamic parameters synthesized presence of actuator faul...

Abstract: 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 i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzz...