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Peigang JIANG,Chunwen LI.[en_title][J].Control Theory and Technology,2004,2(2):155~160.[Copy]
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PeigangJIANG,ChunwenLI
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Received:May 30, 2003Revised:April 20, 2004
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Observer-based robust stabilization for uncertain systems with unknown time-varying delay
Peigang JIANG, Chunwen LI
(Department of Automation, Tsinghua University, Beijing 100084, China)
Abstract:
This paper focuses on the problem of robust stabilization for a class of linear systems with uncertain parameters and time varying delays in states.The parameter uncertainty is continuous,time varying, and norm-bounded. The state delay is unknown and time varying.The states of the system are not all measurable and an observer is constructed to estimate the states.If a linear matrix inequality (LMI) is solvable, the gains of the controller and observer can be obtained from the solution of the LMI. The observer and controller are dependent on the size of time delay and on the size of delay derivative. Finally, an example is given to illustrate the effectiveness of the proposed control method.
Key words:  Linear matrix inequality (LMI)  Time delay  Robust stabilization  Uncertain systems  Observer