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This paper is concerned with H2 filter design for discrete time fuzzy large-scale systems. Each of them consists of N subsystems which are represented by Takagi-Sugeno fuzzy models. It is shown that the resulting filtering error system is globally stable with generalized H2 performance can be obtained by solving a set of linear matrix inequalities. Simulation example is also given to show the effectiveness...
In this paper, a state feedback controller is designed for a non-linear system using a technique in which, the fuzzy model consists of a set of linear fuzzy local models, combined to get overall fuzzy inference mechanism. This approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno (T-S) fuzzy models to approximate nonlinear systems. A fuzzy inference mechanism is designed...
This paper presents the stability analysis of polynomial fuzzy-model-based control systems, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Based on the Lyapunov stability theory, the stability analysis is generalized by bringing the membership functions as polynomial variables to the stability analysis for relaxation of SOS-based...
This paper proposes a brand new T-S fuzzy model-based approach to achieve synchronization and desynchronization of coupled dynamical systems. The T-S fuzzy models are given to exactly represent the coupled dynamical systems. We analyze the overall fuzzy synchronization and desynchronization system by applying Lyapunov theory and derive stability conditions by solving linear matrix inequalities (LMI)...
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