New LMI approach to H∞ control of discrete-time singular systems

Xiao-Heng Chang, Xiao-Yan Wang and Li-Wei Hou

Applied Mathematics and Computation, 2024, vol. 474, issue C

Abstract: This article studies the problem of feedback H∞ control for discrete-time singular system. The objective is to design the controller to make the closed-loop system admissible and satisfy the specified H∞ performance. Firstly, the admissibility of the closed-loop system is analyzed via the Lyapunov function and linear matrix inequality (LMI) method, the admissibility condition of the singular system with H∞ performance is given. Then, applying a useful matrix inequality lemma, the controller design condition for discrete-time singular system is shown by a LMI. Specially, the benefit of the proposed design result is their less conservatism, the validity of the viewpoint is proposed by numeric illustrations.

Keywords: Discrete-time singular system; State feedback; Output feedback; H∞ control; Linear matrix inequality (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001759

DOI: 10.1016/j.amc.2024.128703

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