Memory H ∞ performance control of a class T-S fuzzy system

2017 International Symposium on Application of Materials Science and Energy Materials

材料科学;能源学

Wang, Yanhua^1 ; He, Xiqin^2 ; Wu, Zhihua^1 ; Kang, Xiulan^1 ; Xiu, Wei^1

Chaoyang Teachers College, Liaoning, China^1

University of Science and Technology Liaoning, Liaoning, China^2

关键词: External disturbances;    Feedback controller;    Lyapunov stability theory;    Memory state feedback;    Numerical computations;    Performance control;    Performance indicators;    T S fuzzy system;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/322/7/072016/pdf
DOI  :  10.1088/1757-899X/322/7/072016

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

For much nonlinear system in the control system, both the stability of the system and certain performance indicators are required. The characteristics of T-S model in fuzzy system make it possible to illustrate a great amount of nonlinear system efficiently. First and foremost, the T-S model with uncertainties and external disturbance is utilized to interpret nonlinear system so as to implement H∞performance control by means of fuzzy control theory. Meantime, owing to the tremendous existence of time delay phenomenon in the controlled, feedback controller with memory fuzzy state is fabricated. On the basis of Lyapunov Stability Theory, the closed-loop system becomes stable by establishing Lyapunov function. Gain matrix of the memory state feedback controller is obtained by applying linear matrix inequality methodology. And simultaneously it makes the system meet the requirement of the H∞performance indicator. Ultimately, the efficiency of the above-mentioned method is exemplified by the numerical computation.