Abstract
The problem of admissibility analysis and control synthesis for Takagi-Sugeno fuzzy descriptor systems is investigated. First, based on Nonquadratic fuzzy Lyapunov function and fully using the information of fuzzy membership functions, a new relaxed sufficient condition ensuring a fuzzy descriptor system to be admissible (regular, impulse-free, and stable) is proposed, in which it is not necessary to require every fuzzy subsystem to be stable. Second, the other sufficient condition for the admissibility is obtained without the information of time derivatives of fuzzy membership functions. Following the analysis, both parallel and nonparallel distributed compensation controllers are designed, linear matrix inequalities conditions are given to construct the controllers. Finally, some examples are provided to illustrate the main results in this paper less conservative than some earlier related results.
| Original language | English |
|---|---|
| Article number | 7482847 |
| Pages (from-to) | 729-740 |
| Number of pages | 12 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 25 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Aug 2017 |
Keywords
- Admissible control
- linear matrix inequalities (LMIs)
- nonparallel distributed compensation (non-PDC) controller
- nonquadratic fuzzy Lyapunov function
- parallel distributed compensation (PDC) controller
- Takagi-Sugeno (T-S) fuzzy descriptor system
ASJC Scopus subject areas
- Control and Systems Engineering
- Computational Theory and Mathematics
- Artificial Intelligence
- Applied Mathematics