• ISSN 0258-2724
  • CN 51-1277/U
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Volume 22 Issue 5
Mar.  2010
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Article Contents
ZHANG Yougang, LUO Zhiyong. LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 682-687.
Citation: ZHANG Yougang, LUO Zhiyong. LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 682-687.

LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay

  • Received Date: 12 Jan 2008
  • Publish Date: 12 Nov 2009
  • To robust stabilization problems for a linear uncertain system with parametric uncertainties,state delay and input delay were considered,where the parametric uncertainties are norm-bounded,and the state and input delays are time-varying and bounded.For robust stabilization of this system,a memoryless state-feedback robust stabilization controller was designed,and LMI-formed (linear matrix inequalities) sufficient conditions for robust exponential stability of the closed-loop system under the controller were given.These sufficient conditions don not require that the derivative of delays be less than 1,so they are less conservative than those in the current researches.Furthermore,they can be applied in both fast-and slow-varying time delay systems.Finally,a numerical example was given to demonstrate the validity of the proposed robust stability conditions.

     

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