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Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems

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  • Fucheng Liao
  • Yingxue Wu
  • Xiao Yu
  • Jiamei Deng

Abstract

A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.

Suggested Citation

  • Fucheng Liao & Yingxue Wu & Xiao Yu & Jiamei Deng, 2018. "Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-10, June.
    • Handle: RePEc:hin:jnlmpe:7017135
    DOI: 10.1155/2018/7017135
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