H∞ control for singular time-delay systems based on PD feedback of partial states

被引：0

作者：

Hu, Jian ^{[1
]}

Lv, Qingwen ^{[1
]}

Zhang, Runzhang ^{[1
]}

Chen, Wenbin ^{[1
,2
,3
]}

Gao, Fang ^{[1
,2
,3
]}

机构：

[1] Anhui Normal Univ, Sch Phys & Elect Informat, Wuhu 241000, Peoples R China

[2] Anhui Engn Res Ctr Informat Fus & Control Intellig, Wuhu 241000, Peoples R China

[3] Anhui Prov Joint Key Lab Informat Fus Intelligent, Wuhu 241000, Peoples R China

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2025年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

H-infinity control; Partial state; Singular time-delay system; Proportional-differential feedback; DESCRIPTOR SYSTEMS; PERTURBED SYSTEMS; CONTROL DESIGN; STABILIZATION; STABILITY; REGULARIZATION; MOTION;

D O I：

10.1007/s40435-024-01554-w

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The H-infinity control of singular time-delay systems (STDs) with proportional-differential (PD) feedback of partial states is the main topic of this work. A new PD feedback controller with partial states is constructed, and the admissibility and H-infinity control problems are studied by figuring out the differential-algebraic equations of a class of STDs with external disturbances. Additionally, robust admissibility and robust admissibilization conditions are derived, allowing for the reduction of conservatism and the improvement of control impact with reduced computation. The utilization of a more concise controller in this study facilitates further reduction of decision variables compared to previous studies, while effectively striking a balance between conservatism, the quantity of decision variables, and control efficacy. Lastly, a few numerical examples illustrate the aforementioned claims.

引用

页数：7

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