A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

doi:10.1088/1674-1056/20/12/120503

Abstract In this paper, chaos synchronization in the presence of parameter uncertainty, observer gain perturbation and exogenous input disturbance is considered. A nonlinear non-fragile proportional-integral (PI) adaptive observer is designed for the synchronization of chaotic systems; its stability conditions based on the Lyapunov technique are derived. The observer proportional and integral gains, by converting the conditions into linear matrix inequality (LMI), are optimally selected from solutions that satisfy the observer stability conditions such that the effect of disturbance on the synchronization error becomes minimized. To show the effectiveness of the proposed method, simulation results for the synchronization of a Lorenz chaotic system with unknown parameters in the presence of an exogenous input disturbance and abrupt gain perturbation are reported.

Keywords: adaptive observer H-infinity design chaos synchronization linear matrix inequality

Received: 26 February 2011
Revised: 30 June 2011
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Cite this article:

Mahdi Pourgholi and Vahid Johari Majd A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization 2011 Chin. Phys. B 20 120503

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A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

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