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Observer design for nonlinear systems with delay in state

LIU Qing-rong1，ZHANG Cheng-hui2，ZHANG Xian-fu2   

  1. 1. Department of Mathematics and Statistics,Shandong Economic University,Jinan 250014；2. School of Control Science and Engineering,Shandong University,Jinan 250100
  • Received:2007-09-12 Revised:1900-01-01 Online:2007-10-24 Published:2007-10-24
  • Contact: LIU Qing-rong

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Abstract: A novel and simple observer design for a class of lower triangular nonlinear time-delay systems satisfying Lipschitz condition was proposed. By constructing appropriate Lyapunov-Krasovskii functions (LKF) and solving linear matrix inequality(LMI), the state observer making the observer error asymptotically convergence to zero was constructed. A simulation example was given to show the effectiveness of the proposed design procedure.

Key words: nonlinear time-delay systems, state observer, Lipschitz condition, Lyapunov-Krasovskii

CLC Number: 

  • TP273
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