Abstract
This paper presents a predictive synchronization method for discrete-time chaotic Lur'e systems with input constraints by using time-varying delayed feedback control. Based on the model predictive control scheme, a delay-dependent stabilization criterion is derived for the synchronization of chaotic systems that is represented by Lur'e systems with input constraints. By constructing a suitable Lyapunov-Krasovskii functional and combining with a reciprocally convex combination technique, a delay-dependent stabilization condition for synchronization is obtained via linear matrix inequality (LMI) formulation. The control inputs are obtained by solving a min-max problem subject to cost monotonicity, which is expressed in terms of LMIs. The effectiveness of the proposed method will be verified throughout a numerical example.
| Original language | English |
|---|---|
| Pages (from-to) | 129-140 |
| Number of pages | 12 |
| Journal | Nonlinear Dynamics |
| Volume | 72 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Apr 2013 |
Bibliographical note
Funding Information:Acknowledgements This work was supported in part by MEST & DGIST (12-IT-04, Development of the Medical & IT Convergence System). This research was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology (2010-0011460).
Keywords
- Chaotic Lur'e systems
- Delay-dependent criterion
- Input constraint
- Predictive synchronization