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CHAOS SYNCHRONIZATION VIA MULTIVARIABLE PID CONTROL

State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha, Hunan 410082, P. R. China

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QING-GUO WANG

Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

Author for correspondence.

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CHONG LIN

Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

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GUANGYAO LI

State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, Hunan University, Changsha, Hunan 420082, P. R. China

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, and

XU HAN

State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, Hunan University, Changsha, Hunan 420082, P. R. China

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https://doi.org/10.1142/S0218127407018051Cited by:22 (Source: Crossref)

Abstract

Synchronization via multivariable PID control is studied. Based on the descriptor approach, the problem of PID controller design is transformed to that of static output feedback (SOF) controller design. The improvement of the solvability of the Linear Matrix Inequality (LMI) is achieved, in comparison with the existing literature on designing PID controller based on the LMI technique. With the aid of the free-weighting matrix approach and the S-procedure, the synchronization criterion for a general Lur'e system is established based on the LMI technique. The feasibility of the methodology is illustrated by the well-known Chua's circuit.

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