Abstract
This article proposes a new synchronization method, called a receding horizon synchronization (RHS) method, for a general class of chaotic systems. A new linear matrix inequality (LMI) condition on the finite terminal weighting matrix is proposed for chaotic systems under which non-increasing monotonicity of the optimal cost is guaranteed. It is shown that the proposed terminal inequality condition guarantees the closed-loop stability of the RHS method for chaotic systems. As an application of the proposed method, the RHS problem for Chua's chaotic system is investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 529-534 |
| Number of pages | 6 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 6 |
| Issue number | 3 |
| Publication status | Published - 2012 Sept |
| Externally published | Yes |
Keywords
- Cost monotonicity
- Linear matrix inequality (LMI)
- Receding horizon control (RHC)
- chaos synchronization
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics