JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2015, Vol. 45 ›› Issue (6): 16-28.doi: 10.6040/j.issn.1672-3961.0.2015.148

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Decentralized finite-time robust connective stabilization for large-scale descriptor systems with expanding construction

LI Xiaohua, YAN Wei, LIU Yang   

  1. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China
  • Received:2015-05-19 Revised:2015-11-02 Online:2015-12-20 Published:2015-05-19

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Abstract: Robust decentralized finite-time connective stabilization for a class of large-scale descriptor systems with expanding construction was studied. The mathematic model of the expanding large-scale descriptor system was established. The sufficient conditions of decentralized finite-time connective stabilization for this kind of systems were deduced based on state feedback and dynamic output feedback by using stability theory and LMI(linear matrix inequality) method. And the design method of the robust decentralized connective stabilization controller meeting the conditions for the newly added subsystem was given without any change on the decentralized control laws of the original large-scale descriptor system. Simulation on a numerical example for interconnected descriptor systems showed that the expanding system could be finite-time connective stabilized, and the feasibility and effectiveness of the proposed method were verified.

Key words: large-scale descriptor systems with expanding construction, finite-time stabilization, LMI, robust connective stability, decentralized control

CLC Number: 

  • TP273
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