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Delay-dependent robust exponential stabilization for uncertain systems with interval time-varying delays

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Abstract

New robust exponential stabilization criteria for interval time-varying delay systems with norm-bounded uncertainties are proposed. Based on the free-weighting matrices and new Lyapunov-Krasovskii functionals, such criteria are obtained by dealing with system model directly and designing memoryless state feedback controllers and expressed in terms of linear matrix inequalities (LMIs). Moreover, the criteria are applicable to the case whether the derivative of the time-varying delay is bounded or not. The state decay rate is estimated by the corresponding LMIs. Numerical examples are given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. Research Center of Information and Control, Dalian University of Technology, Dalian Liaoning, 116024, China

    Dong Wang & Wei Wang

Authors
  1. Dong Wang
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  2. Wei Wang
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Correspondence to Dong Wang.

Additional information

This work was supported by the Science and Technology Project of Liaoning Provincial Education Department.

Dong WANG was born in Changchun, China, in 1980. He received his B.S. degree in the Automation and M.S. degree in Control Theory and Control Engineering from Shenyang University of Technology, Shenyang, China, in 2003 and 2006, respectively. He is currently working toward the Ph.D. at the Research Center of Information and Control, Dalian University of Technology, Dalian, China. His research interests include fault detection, robust control, and filtering.

Wei WANG was born in Anshan, China, in 1955. He obtained his B.S. and M.S. degrees and Ph.D. in Industrial Automation from Northeastern University, China, in 1982, 1986, and 1988, respectively. He is presently a professor and the director of Research Center of Information and Control, Dalian University of Technology, China. His research interests are in adaptive control, predictive control, robotics, computer integrated manufacturing systems, and computer control of industrial process. He has published over 200 papers in international and domestic journals. He is the chairman of IFAC Technical Committee (4.4) of Cost Oriented Automation (2005–2008) and a member of IFAC Technical Committee of Mining, Mineral and Metal Processing (1999–2008).

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Wang, D., Wang, W. Delay-dependent robust exponential stabilization for uncertain systems with interval time-varying delays. J. Control Theory Appl. 7, 257–263 (2009). https://doi.org/10.1007/s11768-009-7267-3

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  • DOI: https://doi.org/10.1007/s11768-009-7267-3

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