| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1713573 | Nonlinear Analysis: Hybrid Systems | 2013 | 8 Pages |
In this article, we propose a new H∞H∞ synchronization method for chaotic systems with external disturbance based on the Takagi–Sugeno (T–S) fuzzy model and receding horizon control. This synchronization method is called a Takagi–Sugeno fuzzy receding horizon H∞H∞ synchronization (TSFRHHS) method. A new set of matrix inequality conditions on the terminal weighting matrix is proposed for T–S fuzzy chaotic systems wherein non-increasing monotonicity of the optimal cost is guaranteed. Under this set of terminal inequality conditions, the proposed TSFRHHS method guarantees the infinite horizon H∞H∞ performance for T–S fuzzy chaotic systems with external disturbance. As an application of the proposed synchronization method, the TSFRHHS problem for the Lorenz system is investigated.
