A periodic adaptive mechanism is proposed for a class of discrete‐time linear periodic systems with parametric uncertainties in this paper. Based on the periodic system model, the adaptive mechanism uses the weight function to update the controller parameters in real time, which reduces the influence of system parameter uncertainty on the controller performance and makes the system parameters converge to the ideal values. Finally, numerical examples are used to demonstrate the effectiveness and superiority of the adaptive mechanism in improving control performance and reference tracking performance.
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Lv et al. (2024) studied this question.
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