A new reduction-based LQ control for dynamic systems with a slowly time-varying delay

Bo Liu, Masakazu Haraguchi, Haiyan Hu*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

15 引用 (Scopus)

摘要

Time delays in the feedback control often deteriorate the control performance or even cause the instability of a dynamic system. This paper presents a control strategy for the dynamic system with a constant or a slowly time-varying input delay based on a transformation, which simplifies the time-delay system into a delay-free one. Firstly, the relation is discussed for two existing reduction-based linear quadratic controls. One is continuous and the other is discrete. By extending the relation, a new reduction-based control is then developed with a numerical algorithm presented for practical control implementation. The controller suggested by the proposed method has such a promising property that it can be used for the cases of different values of an input time delay without redesign of controller. This property provides the potential for stabilizing the dynamic system with a time-varying input delay. Consequently, the application of the proposed method to the dynamic system with a slowly time-varying delay is discussed. Finally, numerical simulations are given to show the efficacy and the applicability of the method.

源语言英语
页(从-至)529-537
页数9
期刊Acta Mechanica Sinica/Lixue Xuebao
25
4
DOI
出版状态已出版 - 8月 2009
已对外发布

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