Chaos synchronization via multivariable PID control

Guilin Wen; Qing Guo Wang; Chong Lin; Guangyao Li; Xu Han

doi:10.1142/S0218127407018051

Chaos synchronization via multivariable PID control

Guilin Wen, Qing Guo Wang, Chong Lin, Guangyao Li, Xu Han

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1753-1758
Number of pages	6
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	17
Issue number	5
DOIs	https://doi.org/10.1142/S0218127407018051
Publication status	Published - May 2007
Externally published	Yes

Keywords

Chaos synchronization
Free-weighting matrix approach
Linear matrix inequality(LMI)
Multivariable PID control
Static output feedback
The descriptor approach

ASJC Scopus subject areas

Modeling and Simulation
Engineering (miscellaneous)
Multidisciplinary
Applied Mathematics

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10.1142/S0218127407018051

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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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T1 - Chaos synchronization via multivariable PID control

AU - Wen, Guilin

AU - Wang, Qing Guo

AU - Lin, Chong

AU - Li, Guangyao

AU - Han, Xu

PY - 2007/5

Y1 - 2007/5

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AB - 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.

KW - Chaos synchronization

KW - Free-weighting matrix approach

KW - Linear matrix inequality(LMI)

KW - Multivariable PID control

KW - Static output feedback

KW - The descriptor approach

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Chaos synchronization via multivariable PID control

Abstract

Keywords

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