The stability criteria for Takagi-Sugeno (T-S) fuzzy discrete systems based on a weighting-dependent Lyapunov function have been studied in numerous literature. Most of those results need to find r (number of rules) positive matrices Pis to satisfy r2 Lyapunov inequalities. This paper combines the ideas of group-fired rules, estimation of the maximum distance between two successive states of the system, and the vertex expression of any point in a region together, so that the relaxed stability that satisfies fewer Lyapunov inequalities is derived. Finally, an example is illustrated to reveal the merit of the proposed stability criterion.
|Number of pages||7|
|Journal||IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics|
|State||Published - Jun 2006|
- Takagi-Sugeno (T-S) model
- Vertex expression
- Weighting-dependent Lyapunov function