Robust data-driven control for set-point tracking of linear discrete-time systems with time delays

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Abstract

This paper focused on the direct data-driven set-point tracking control problem of linear discrete-time systems with input time-delay. First, a tracking error was introduced by constructing an extended state vector through state reconstruction to generate a data-driven model. Second, a data-based tracking controller was designed with the objective of minimizing the L₂ gain from disturbances to the performance output through H_∞ control, thereby reducing the impact of input delay and disturbance and ensuring asymptotic tracking stability. Finally, to validate the effectiveness and practicality of the proposed method, this paper took an autonomous direct current (DC) micro-grid with two distributed generation units as the research object. Through simulation results, the effectiveness of the data-driven method in addressing set-point tracking control issues for time-delay systems was demonstrated.

Keywords

data-driven control / set-point tracking / input time-delay / H_∞ control

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