Abstract
This paper investigates the problem of stability analysis and stabilization for Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. By using appropriately chosen Lyapunov-Krasovskii functional, together with the reciprocally convex a new sufficient stability condition with the idea of delay partitioning approach is proposed for the delayed T-S fuzzy systems, which significantly reduces conservatism as compared with the existing results. On the basis of the obtained stability condition, the state-feedback fuzzy controller via parallel distributed compensation law is developed for the resulting fuzzy delayed systems. Furthermore, the parameters of the proposed fuzzy controller are derived in terms of linear matrix inequalities, which can be easily obtained by the optimization techniques. Finally, three examples (one of them is the benchmark inverted pendulum) are used to verify and illustrate the effectiveness of the proposed technique.
| Original language | English |
|---|---|
| Pages (from-to) | 1147-1156 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Cybernetics |
| Volume | 47 |
| Issue number | 5 |
| Early online date | 5 Apr 2016 |
| DOIs | |
| Publication status | Published - May 2017 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2013 IEEE.
Funding
This work was supported in part by the National Key Basic Research Program (973), China, under Grant 2012CB215202 and Grant 2014CB249200, in part by the National Natural Science Foundation of China under Grant 61403048 and Grant 61134001, in part by the Basic and Frontier Research Project of Chongqing under Grant cstc2015jcyjA40005, and in part by the Fundamental Research Funds for the Central Universities under Grant 106112015CDJXY170001.
Keywords
- Delay partitioning technique
- fuzzy control
- Takagi-Sugeno (T-S) fuzzy systems
- time-varying delay