Decentralized sliding mode feedback control design method for a large scale system with a polytopic models

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Abstract

Based on the sliding mode control theory, a decentralized controller design method is developed for a large scale system with a polytopic model. In terms of LMIs, we derive sufficient conditions for the existence of the decentralized controller guaranteeing a stable sliding motion. We also give an LMI-based control design algorithm. Finally, the proposed method is applied to decentralized stabilization of double-inverted pendulums. Simulation results show that our method gives not only the robust stability but perfect rejection of norm-bounded uncertainties.

Original languageEnglish
Pages (from-to)1-4
Number of pages4
JournalJournal of Institute of Control, Robotics and Systems
Volume16
Issue number1
DOIs
StatePublished - Jan 2010

Keywords

  • Decentralized control
  • Large scale system
  • LMI (Linear Matrix Inequality)
  • Polytopic model
  • Sliding mode control
  • Switching surface

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