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An extended prediction for uncertain LTI systems subject to input delays and unknown disturbances

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  • Zhang, Jin
  • Shi, Jing
  • Peng, Chen

Abstract

This paper develops an extended prediction for uncertain linear time-invariant (LTI) systems with input delays and unknown disturbances. The developed prediction employs more information of the disturbances that allows to reject perfectly constant disturbances and to lead to better attenuation performance with smaller ultimate bounds for the time-varying disturbances. The assumption from the existing predictor-based work that the time-varying disturbances are smooth is not required. Moreover, we consider the system subject to uncertainties, i.e. the parameter uncertainties and the uncertain non-small delays, whose nominal values are assumed to be known. Compared to that for the uncertainty-free case, the resulting closed-loop system has additional errors due to the uncertainties. Then via Lyapunov-Krasovskii method, sufficient conditions are obtained in the form of linear matrix inequalities (LMIs) for finding the quantitative upper bounds on the uncertainties that guarantee the stability. We demonstrate that a better attenuation is achieved in the absence/presence of uncertainties. Finally, an example is presented to illustrate the efficiency of the method.

Suggested Citation

  • Zhang, Jin & Shi, Jing & Peng, Chen, 2024. "An extended prediction for uncertain LTI systems subject to input delays and unknown disturbances," Applied Mathematics and Computation, Elsevier, vol. 481(C).
    • Handle: RePEc:eee:apmaco:v:481:y:2024:i:c:s0096300324003862
    DOI: 10.1016/j.amc.2024.128925
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    References listed on IDEAS

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    1. Yang Deng & Vincent Léchappé & Emmanuel Moulay & Zhang Chen & Bin Liang & Franck Plestan & Qing-Long Han, 2022. "Predictor-based control of time-delay systems: a survey," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(12), pages 2496-2534, September.
    2. Pan, Jie & Pan, Zhaoya, 2021. "Novel robust stability criteria for uncertain parameter quaternionic neural networks with mixed delays: Whole quaternionic method," Applied Mathematics and Computation, Elsevier, vol. 407(C).
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