Abstract
In this paper, the problem of l2- l∞ filtering for a class of discrete-time Takagi-Sugeno (T-S) fuzzy time-varying delay systems is studied. Our attention is focused on the design of full- and reduced-order filters that guarantee the filtering error system to be asymptotically stable with a prescribed H∞ performance. Sufficient conditions for the obtained filtering error system are proposed by applying an input-output approach and a two-term approximation method, which is employed to approximate the time-varying delay. The corresponding full- and reduced-order filter design is cast into a convex optimization problem, which can be efficiently solved by standard numerical algorithms. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
| Original language | English |
|---|---|
| Article number | 6189779 |
| Pages (from-to) | 1114-1129 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 20 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Dec 2012 |
| Externally published | Yes |
Funding
This work was supported in part by the National Key Basic Research Program (2012CB215202), by the 111 Project (B12018), by the National Natural Science Foundation of China under Grant 61174126 and Grant 61174058, by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China under Grant 61021002, by the Natural Science Foundation of Heilongjiang Province of China under Grant QC2009C58 and Grant F201002, by the Program for New Century Excellent Talents in University under Grant NCET-09-0063, and by the Fundamental Research Funds for the Central Universities under Grant HIT.BRET2.2010011.
Keywords
- Full-and reduced-order
- H? filter design
- input-output approach
- Takagi-Sugeno (T-S) fuzzy systems
- time-delay