Title :
T-S fuzzy modeling and control for a class of 2-D nonlinear systems
Author :
Li Lizhen ; Wang Weiqun ; Li Xiaofeng
Author_Institution :
Sch. of Sci., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
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.
Keywords :
fuzzy control; multidimensional systems; nonlinear control systems; stability; 2D nonlinear systems; T-S fuzzy control; T-S fuzzy modeling; fuzzy rules; independent directions; spatial membership function; stability analysis; Analytical models; Engines; Firing; Fuzzy sets; Fuzzy systems; Nonlinear systems; Stability analysis; 2-D Nonlinear Systems; Controller Design; Fuzzy Modeling;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768