Abstract
This paper concerns the robust control problems on the synchronization of a hyper-chaotic system with disturbance input. Using an appropriate Lyapunov function, we design the multi-dimensional and the single-dimensional robust H∞ synchronization controllers in terms of linear matrix inequalities for the application in practical engineering. Corresponding theoretical derivations are given subsequently. Finally, some numerical simulations are provided to demonstrate the effectiveness of the proposed techniques. © 2012 Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 1487-1495 |
| Number of pages | 9 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 14 |
| Issue number | 3 |
| Early online date | 7 Nov 2012 |
| DOIs | |
| Publication status | Published - Jun 2013 |
| Externally published | Yes |
Bibliographical note
The authors would like to thank the editor and reviewers for their constructive comments and suggestions which have greatly helped improve the presentation of the paper.Funding
This work was partially supported by the Key projects of Xihua University ( Z1120946 ), the National Key Basic Research Program, China ( 2012CB215202 ), the 111 Project ( B12018 ), and the National Natural Science Foundation of China ( 61174058 , 61134001 ).
Keywords
- H∞ performance
- Hyper-chaotic
- Lyapunov function
- Synchronization