Parameter Identification and Synchronization of Uncertain Chaotic Systems Based on Sliding Mode Observer

Mathematical Problems in Engineering. 2013;2013 DOI 10.1155/2013/859304


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Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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Li-lian Huang (Harbin Engineering University, Harbin, Heilongjiang 150001, China)
Lei Lin (Harbin Engineering University, Harbin, Heilongjiang 150001, China)


Blind peer review

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Time From Submission to Publication: 26 weeks


Abstract | Full Text

The synchronization of nonlinear uncertain chaotic systems is investigated. We propose a sliding mode state observer scheme which combines the sliding mode control with observer theory and apply it into the uncertain chaotic system with unknown parameters and bounded interference. Based on Lyapunov stability theory, the constraints of synchronization and proof are given. This method not only can realize the synchronization of chaotic systems, but also identify the unknown parameters and obtain the correct parameter estimation. Otherwise, the synchronization of chaotic systems with unknown parameters and bounded external disturbances is robust by the design of the sliding surface. Finally, numerical simulations on Liu chaotic system with unknown parameters and disturbances are carried out. Simulation results show that this synchronization and parameter identification has been totally achieved and the effectiveness is verified very well.