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Sliding Mode Control for Linear Systems with Time-Varying Input and State Delays

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Abstract

This paper deals with a sliding mode control for linear systems with input and state time-varying delays. Two different time delays are considered for the sliding mode control of a continuous linear system. Delay-dependent sufficient conditions are given for the existence of sliding manifolds in terms of linear matrix inequalities. A reaching motion controller is also proposed for such systems by means of both reaching law and inequality approach. An inverted pendulum system is utilized to illustrate the effectiveness of the developed techniques.

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Authors and Affiliations

  1. Department of Automatic Control, Beijing Institute of Technology, Beijing, 100081, China

    Yuanqing Xia, Hongjiu Yang & Mengyin Fu

  2. Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK

    Peng Shi

  3. School of Engineering and Science, Victoria University, PO Box 14428, Melbourne, VIC, 8001, Australia

    Peng Shi

Authors
  1. Yuanqing Xia
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  2. Hongjiu Yang
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  3. Mengyin Fu
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  4. Peng Shi
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Correspondence to Yuanqing Xia.

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Xia, Y., Yang, H., Fu, M. et al. Sliding Mode Control for Linear Systems with Time-Varying Input and State Delays. Circuits Syst Signal Process 30, 629–641 (2011). https://doi.org/10.1007/s00034-010-9237-x

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  • DOI: https://doi.org/10.1007/s00034-010-9237-x

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