Optimal nonlinear observers for chaotic synchronization with message embedded |
| |
Authors: | Chaio-Shiung Chen |
| |
Institution: | 1.Department of Mechanical and Automation Engineering,DaYeh University,Changhua,ROC |
| |
Abstract: | This paper presents an optimal nonlinear observer for synchronizing the transmitter-receiver pair with guaranteed optimal
performance. In the proposed scheme, a generalized nonlinear state-space observer via uniform matrix transformations is constructed
to estimate the transmitter state and the information signal, simultaneously. A nonlinear optimal design approach is used
to synchronize chaotic systems. Solving the Hamilton–Jacobi–Bellman (H–J–B) equations we can obtain a linear optimal feedback
scheme for piecewise-linear chaotic systems. Moreover, a robust scheme derived from the H
∞ optimization theory improves the synchronization performance of general nonlinear chaotic systems by suppressing the influence
of their high order residual terms. Finally, two numerical simulation examples are illustrated by the chaotic Chua’s circuit
system and the Lorenz chaotic system to demonstrate the effectiveness of our scheme. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|