A New Fuzzy Lyapunov Function Approach to Stability and Stabilization for Continuous-Time T-S Fuzzy Systems
In this paper, a new fuzzy Lyapunov function approach is used to analyze stability and design of fuzzy controller for continuous-time T-S fuzzy systems. An inequality involving the membership function and its derivative is discovered, revealing that the time derivative of the membership function is less than or equal to the product of the membership function and another positive function. Therefore, there is no need to impose any restrictions on derivatives of the membership functions, such as boundedness and continuity, making it more convenient to analyze continuous-time fuzzy systems. Based on these, we give stability conditions for open-loop fuzzy systems and design of fuzzy controller for closed-loop fuzzy systems. Numerical examples are designed to illustrate the effectiveness of the proposed fuzzy Lyapunov function approach.
Fuzzy system models Fuzzy Lyapunov function Time derivatives of membership functions Fuzzy controler
Lizhen Li Weiqun Wang
Department of Mathematics,Nanjing University of Science and Technology,Nanjing,China
国际会议
The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)
无锡
英文
14-19
2010-06-04（万方平台首次上网日期，不代表论文的发表时间）