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Output-feedback adaptive control for a class of stochastic nonlinear time varying delay systems

GAO Qing-zheng1;CHEN Chuan-xiang1;XIE Xue-jun2   

  1. 1. Department of Physics,Jining University,Jining 273155,China;2. Institute of Automation,Qufu Normal University,Qufu 273165,China
  • Received:2007-09-02 Revised:1900-01-01 Online:2007-10-24 Published:2007-10-24
  • Contact: GAO Qing-zheng

Abstract: The output-feedback adaptive control problem was investigated for a class of stochastic nonlinear time varying delay systems driven by stochastic noise of unknown covariance. By utilizing the backstepping design technique, acontroller based on observer and the adaptive law only correlated with output was constructively presented to guarantee that the closed-loop system is globally asymptotically stable in probability, where the designed observer and adaptive controller are all independent of time-delay. A simulation example demonstrates the effectiveness of the control scheme.

Key words: stochastic nonlinear time varying delay systems, back-stepping, output-feedback stabilization, globally asymptotically stable in probability

CLC Number: 

  • TP273
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