Stabilization of Fuzzy Retarded Systems with Input and State Delays

• Main Authors: Yuchi Wang, 王毓淇
• Other Authors: none
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/30674616539970413002

碩士 === 國立中央大學 === 機械工程研究所 === 97 === In this study, a stabilization problem for continuous-time fuzzy systems subject to multiple time-varying delays in both state and input variables is addressed. The main objective is to design a stablilizing controller that stabilizes the aforementioned delay system. Based on Lyapunov-Krasovskii functional and P''olya theorem, sufficient stabilization conditions are stated in terms of LMIs. Therefore, stabilizing controllers can be obtained easily with existing convex algorithms. Unlike existing methods, polynomial theory is used to deal with input-delay term since this delay term introduces an additional summation after defuzzification. Lastly, three examples are given to illustrate the advantages of the proposed machinery, yielding more relaxations when compared to existing methods.