Nonlinear Benchmark Problem Yi Guo , David J. Hill , Zhong-Ping Jiang Department of Electrical Engineering The University of Sydney, NSW 2006, AUSTRALIA Email: [email protected], [email protected], [email protected] Abstract| In this paper, we study the fuzzy dissipativity design method and apply it to the nonlinear benchmark problem. By representing the nonlinear system with a dynamica...

Abstract: This paper deals with the problems of robust control for uncertain Takagi-Sugeno (T-S) fuzzy systems with both distributed delays and input delays. The uncertainties are time-varying but norm-bounded. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is robustly stable. Sufficient conditions in the form of linear matrix inequality (LM...

In this paper, we introduce a numerical method to determine the stability set of the first kind for fuzzy multi-objective non-linear programming (FMONP) problem. An α−level set of the fuzzy vector is used together with a weighting approach to transform (FMONP) problem to a single-objective inequality constrained optimization (SOICO) problem. An active set strategy is used together with a multip...

This paper presents an application to the multi-objective stochastic transportation problem in fuzzy environment. In this paper, we focus on our attention to multiobjective stochastic transportation problem involving an inequality type of constraints in which all parameters ( supply and demand ) are log-normal random variable and the objectives are non-commensurable and conflicting in nature. A...

The problem of delay-dependent condition for a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties is investigated in this paper, which is different from existing ones. We use T-S fuzzy models to describe Lurie system in the form of a weighted sum of some simple linear subsystems, and a new delay-dependent absolute stability criterion for ...

Abstract: This paper adresses the problem of fault estimation for continuous-time TakagiSugeno (T-S) fuzzy systems with interval time varying delay. The approach is based on a fuzzy Adaptive Fault Diagnostic Observer (AFDO). By considering an appropriate Lyapunov function, less conservative linear-matrix-inequality (LMI) conditions for the existence of the fault estimator are proposed. Furtherm...

In this paper, we investigate a class of fuzzy CohenGrossberg neural networks with time delays and impulsive effects. By virtue of stochastic analysis, Halanay inequality for stochastic differential equations, we find sufficient conditions for the global exponential square-mean synchronization of the FCGNNs under noise perturbation. In particular, the traditional assumption on the differentiabi...

In this paper, a fuzzy multi-objective constrained optimization problem (FMCOP) is converted to a single-objective constrained optimization problem with equality and inequality constraints (SCOP) by using α−level set of the fuzzy vector and weighting approach. A trust-region algorithm for solving problem (SCOP) is introduced to obtain α−pareto optimal solutions of problem (FMCOP). An εα−stabili...

Abstract: This paper determines the designing of a non-fragile H∞ output feedback controller for a class of nonlinear uncertain dynamical systems with multiple timescales described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a non-fragile H∞ output feedback controller which guarantees the L2-gain of the mapping from the exogenous input noi...

In this paper, we propose a newH∞ synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, TakagiSugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H∞ synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturba...