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Adaptive non-predictor control of lower triangular uncertain nonlinear systems with an unknown time-varying delay in the input

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  • Min-Sung Koo
  • Ho-Lim Choi

Abstract

In this paper, we consider a control problem for a class of uncertain nonlinear systems in which there exists an unknown time-varying delay in the input and lower triangular nonlinearities. Usually, in the existing results, input delays have been coupled with feedforward (or upper triangular) nonlinearities; in other words, the combination of lower triangular nonlinearities and input delay has been rare. Motivated by the existing controller for input-delayed chain of integrators with nonlinearity, we show that the control of input-delayed nonlinear systems with two particular types of lower triangular nonlinearities can be done. As a control solution, we propose a newly designed feedback controller whose main features are its dynamic gain and non-predictor approach. Three examples are given for illustration.

Suggested Citation

  • Min-Sung Koo & Ho-Lim Choi, 2018. "Adaptive non-predictor control of lower triangular uncertain nonlinear systems with an unknown time-varying delay in the input," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 124-131, January.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:124-131
    DOI: 10.1080/00207721.2017.1390705
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    References listed on IDEAS

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    1. Meng-Meng Jiang & Kemei Zhang & Xue-Jun Xie, 2017. "Output feedback stabilisation of high-order nonlinear feedforward time-delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1692-1707, June.
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