Name
Abstract | ||
|---|---|---|
This paper considers the model-reduction problem for continuous-time Takagi–Sugeno (T–S) fuzzy systems. Different from existing full-frequency methods, a finite-frequency model-reduction method is proposed in this paper. The proposed method can get a better approximation performance when input signals belong to a finite-frequency domain. To this end, a finite-frequency $H_infty$ performance index is first defined. Then, a sufficient finite-frequency performance analysis condition is derived by the aid of Parsevalu0027s theorem and quadratic functions. Based on this condition and projection lemma, three model-reduction algorithms for T–S fuzzy systems with input signals in low-frequency, middle-frequency, and high-frequency domain are obtained, respectively. Finally, an example is given to illustrate the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1109/TFUZZ.2016.2540060 | IEEE Transactions on Fuzzy Systems |
Keywords | Field | DocType |
Reduced order systems,Fuzzy systems,Performance analysis,Lyapunov methods,Algorithm design and analysis,Mathematical model,Nonlinear systems | Algorithm design,Nonlinear system,Performance index,Control theory,Parseval's theorem,Quadratic function,Fuzzy control system,Lemma (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
24 | 6 | 1063-6706 |
Citations | PageRank | References |
1 | 0.36 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Da-Wei Ding | 1 | 181 | 8.36 |
| Xiao-Jian Li | 2 | 264 | 13.82 |
| Xin Du | 3 | 1 | 1.71 |
| Xiangpeng Xie | 4 | 115 | 5.66 |