Chaos synchronization via multivariable PID control

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

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


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 languageEnglish
Pages (from-to)1753-1758
Number of pages6
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number5
Publication statusPublished - May 2007
Externally publishedYes


  • 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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