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System stability control of fuzzy hyperbolic model

WANG Jin-ye1，YAO Rui-ying2，ZHANG Ji-liang1，WANG Qi-jun1   

  1. 1. Department of Electrical Engineering，Shandong University of Science and Technology，Tai'an 271019，China；2. Department of Chemical Engineering，Hebei Chemical Pharmaceutical Vocational Technology College，Shijiazhuang 050026，China
  • Received:2006-10-14 Revised:1900-01-01 Online:2007-04-24 Published:2007-04-24
  • Contact: WANG Jin-ye

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2007

Abstract: Robust stability control of a class of fuzzy hyperbolic model is investigated. The system involves timevarying delay, parameter uncertainties and possible actuators failures, which are commonly encountered and the source of instability and deteriorates performance of systems. Based on the linear matrix inequality (LMI) and LypunovKrasovskii approach, a method for designing a reliable controller is presented, which can render classedloop system asymptotic stability whether the actuators operatswell or not. A sufficient condition for the existence of such a nonlinear feedback reliable controller is obtained and the expression of desired reliable controller is given.

Key words: asymptotic stability, control, LMI , hyperbolic model

CLC Number: 

  • TP13
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