Name
Title | ||
|---|---|---|
Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems |
Abstract | ||
|---|---|---|
Based on the Lyapunov stability and adaptive synchronization theory, optimization design of adaptive controllers and parameter observers with controllable gain coefficient are investigated in detail. The linear errors of corresponding variables and parameters are used to construct different appropriate positive Lyapunov functions V and the parameter observers and adaptive controllers are approached analytically by simplifying the differential inequality dV/dt=<0. Particularly, an optional gain coefficient is selected in the parameter observers and positive Lyapunov function, which decides the transient period to identify the unknown parameters and reach synchronization. The scheme is used to study the synchronization of two non-identical hyperchaotic Rossler systems. The theoretical and numerical results confirm that the four unknown parameters in the drive system are estimated exactly and the two hyperchaotic systems reach complete synchronization when the controllers and parameter observers work on the driven system. To confirm the model independence of this scheme, an alternative hyperchaotic system is investigated, whereby the results confirm that the five unknown parameters are identified rapidly and exactly, and that the two hyperchaotic systems reach complete synchronization as well. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2009.10.020 | Applied Mathematics and Computation |
Keywords | Field | DocType |
hyperchaotic rö,parameter estimation,ssler,hyperchaotic rössler,gain coefficient,adaptive synchronization,controller,optimal design,lyapunov function | Gain coefficient,Lyapunov function,Control theory,Synchronization,Control theory,Calculus of variations,Lyapunov stability,Estimation theory,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
215 | 9 | Applied Mathematics and Computation |
Citations | PageRank | References |
17 | 2.20 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jun Ma | 1 | 67 | 11.08 |
| Ai-Hua Zhang | 2 | 30 | 5.91 |
| Ya-Feng Xia | 3 | 17 | 2.88 |
| Li-Ping Zhang | 4 | 17 | 2.20 |