T-S fuzzy modeling and control for a class of 2-D nonlinear systems

In this paper, T-S fuzzy modeling method is considered for a class of 2-D nonlinear systems which can be regarded as an extension of General type 2-D linear system to nonlinear case. One of the most substantial distinctions between 2-D systems and 1-D ones lies on that states of 2-D systems varies along two independent directions, leading to a spatial membership function. Another substantial distinction of 2-D systems is that states at different locations may be involved in premise variables of fuzzy rules. Considering these distinctions, the conventional T-S fuzzy modeling method for 1-D systems couldn´t be extended to 2-D ones directly, thus leading to the work of this paper. Based on the established T-S model, stability analysis and stabilization can be conducted. Simulation examples are given to demonstrate the effectiveness and universality of the proposed approach.