Non-quadratic Stability Condition for T-S Fuzzy System with State and Input Delays

• Main Authors: Ching-Lun Li, 李經綸
• Other Authors: 蔡舜宏
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/j8kj26

碩士 === 國立臺北科技大學 === 自動化科技研究所 === 100 === There are two parts in this thesis. Firstly, the non-parallel distributed compensation controller is utilized to stabilize the T-S fuzzy systems with state and input delay. In addition, the non-quadratic stabilization condition for the T-S fuzzy systems with state-delay and T-S fuzzy systems with state and input delay is obtained via the parameter-dependent Lyapunov function. Furthermore, the simulation examples are given to demonstrate the proposed stabilization condition can provide longer delay time. In the second part, the dependency problem of membership function in the previous theorem is investigated. For improving the shortcomings of previous theorems, the Lie derivative techniques and the line integral Lyapunov function are adopted. Furthermore, a new non-quadratic stability conditions are proposed. Besides, since the slack matrix variables are adopted, the proposed stabilization conditions provide less conservative. Finally, simulation examples are given to illustrate the feasibility and effectiveness of the proposed approach in this paper.