Controllability and control for discrete periodic systems based on fully-actuated system approach

Lingling Lv, Zikai Li, Rui Chang and Xinyang Liu

International Journal of Systems Science, 2024, vol. 55, issue 12, 2494-2505

Abstract: The problem of controllability and control of linear discrete-periodic systems is investigated in this paper. The high-order fully-actuated models for linear discrete periodic time-varying systems are constructed, and a controllability criterion based on fully-actuated system models is proposed. On this basis, stabilization as the fundamental issue is studied and periodic state-feedback control laws are designed via fully-actuated systems approach and parametric design, which converted the original problem into the pole assignment problem for linear constant systems. Finally, a numerical example is given to verify the validity and feasibility of the proposed method.

Date: 2024
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DOI: 10.1080/00207721.2024.2317350

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