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On the global stability of Takagi-Sugeno general model.

Fernando Matía;  Basil M. Al-Hadithi;  Agustín Jiménez — 1999

Mathware and Soft Computing

Global stability of Takagi-Sugeno (T-S) fuzzy model is presented. First, stability conditions for T-S fuzzy model presented by Tanaka and Sugeno are reviewed. Second, new theorems for the stability of the general form of T-S model is derived in the sense of Lyapunov. The T-S model we studied includes a linear equation with a constant parameter in the consequent part of each rule while other authors have analyzed the model with no constant term, which does not represent a real system....

A novel method for the design of switching surfaces for discretized MIMO nonlinear systems

José Darío Luis-Delgado;  Basil Mohammed Al-Hadithi;  Agustín Jiménez — 2017

International Journal of Applied Mathematics and Computer Science

Designing variable structure control with sliding mode (VSC-SM) control schemes needs a switching function or a sliding surface which guarantees the global stability of the closed-loop system. Despite the fact that a wide range of design approaches has been proposed for solving this mathematical problem, the number of proposed methodologies for nonlinear systems is not very extensive, especially for discrete time nonlinear MIMO systems, and most of them require some coordinate system transformation....

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