Abstract
In this article, we propose a new . 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∞ 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∞ 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-8 |
| Number of pages | 8 |
| Journal | Nonlinear Analysis: Hybrid Systems |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 Aug |
Keywords
- Cost monotonicity
- H∞ chaos synchronization
- Linear matrix inequality (LMI)
- Receding horizon control (RHC)
- Takagi-Sugeno (T-S) fuzzy model
ASJC Scopus subject areas
- Control and Systems Engineering
- Analysis
- Computer Science Applications