Affiliations: [a] School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, China
| [b] School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China
| [c] Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China
Correspondence:
[*]
Corresponding author. Guolin Hu, School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China. E-mail: [email protected].
Abstract: This paper addresses local H∞ control method to reject the disturbance for continuous-time T-S fuzzy models. Firstly, in order to overcome a few drawbacks of the previous results such as the special structure of free variable, redundant restrictive conditions and parameters, the time derivatives of the membership functions are analyzed and new linear matrix inequalities are obtained. Secondly, the H∞ control theorem is obtained based on the new conditions. Finally, two examples are given to illustrate the effectiveness of the results.
Keywords: Takagi-Sugeno fuzzy model, linear matrix inequalities (LMIs), non-quadratic fuzzy Lyapunov function, H∞ control
