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Stability Analysis and Output Tracking Control for Linear Systems with Time-Varying Delays

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  • K. H. Kim
  • M. J. Park
  • O. M. Kwon
  • E. J. Cha

Abstract

The problem of stability analysis and output tracking control for linear systems with time-varying delays is studied. First, by construction of a newly augmented Lyapunov-Krasovskii functional, a delay-dependent stability criterion for nominal systems with time-varying delays is established in terms of linear matrix inequalities (LMIs). Second, based on the sense, the proposed method is extended to solve the problem of designing an output tracking controller to track the output of a given reference model. Finally, three examples are included to show the validity and effectiveness of the presented delay-dependent stability and the output tracking controller design.

Suggested Citation

  • K. H. Kim & M. J. Park & O. M. Kwon & E. J. Cha, 2014. "Stability Analysis and Output Tracking Control for Linear Systems with Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-15, June.
    • Handle: RePEc:hin:jnlmpe:184292
    DOI: 10.1155/2014/184292
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