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Prediction-based controller for linear systems with stochastic input delayx2729;
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DOI：10.1016/j.automatica.2021.110149.png)
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Abstract
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We study the stabilization problem of a linear time-invariant system with an unknown stochastic input delay. We propose to robustly compensate for the stochastic delay with a constant time horizon prediction-based controller. We prove the mean-square exponential stabilization of the closed-loop system under a sufficient condition, which requires the range of the delay values to be sufficiently narrow and the constant delay used in the prediction-based controller to be chosen in this range. Numerical simulations illustrate the relevance of this condition and the merits of our control design. (c) 2022 Elsevier Ltd. All rights reserved.
Keywords:
Linear systems
Delay systems
Random delay
Backstepping control of distributed
parameter systems
Prediction-based control
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