Abstract
The asymptotic stability of Takagi-Sugeno (T-S) fuzzy systems with state delay is studied. The aim is not only to extend the fuzzy weighting-dependent Lyapunov function method for delay-free fuzzy systems to time-delay fuzzy systems, but also to provide state-of-the-art stability analysis methods for time-delay fuzzy systems. First, the fuzzy weighting-dependent Lyapunov-Krasovskii functional is used to reduce the conservatism entailed in previous results using quadratic Lyapunov-Krasovskii functionals. By adopting a recent technique called the free-weighting matrix method, a delay-dependent stability condition that improves existing results for time-delay fuzzy systems is derived. Next, an augmented fuzzy weighting-dependent Lyapunov-Krasovskii functional is proposed to further reduce the conservatism. Delay-independent stability criteria are easy corollaries of the present delay-dependent results. Finally, three examples are given to illustrate the reduced conservativeness achieved by the proposed methods.
| Original language | English |
|---|---|
| Pages (from-to) | 127-132 |
| Number of pages | 6 |
| Journal | IET Control Theory and Applications |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2007 |
| Externally published | Yes |
ASJC Scopus subject areas
- Control and Systems Engineering
- Human-Computer Interaction
- Computer Science Applications
- Control and Optimization
- Electrical and Electronic Engineering