Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance

doi:10.1080/00207179.2016.1235286

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	Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance
	Zhou, Hua-Cheng 1; Guo, Bao-Zhu1,2
	2019-01-02
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	92 期号:1 页码:12-26
摘要	In this paper, we consider stabilisation for a cascade of ODE and first-order hyperbolic equation with external disturbance flowing to the control end. The active disturbance rejection control (ADRC) and sliding mode control (SMC) approaches are adopted in investigation. By ADRC approach, the disturbance is estimated through a disturbance estimator with both time-varying high gain and constant high gain, and the disturbance is canceled online in the feedback loop. It is shown that the resulting closed-loop system with time-varying high gain is asymptotically stable and is practically stable with constant high gain. By SMC approach, the existence and uniqueness of the solution for the closed loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented. The resulting closed-loop system is shown to be exponentially stable. The numerical experiments are carried out to illustrate effectiveness of the proposed control law.
关键词	Active disturbance rejection control sliding mode control boundary feedback control stabilisation
DOI	10.1080/00207179.2016.1235286
语种	英语
资助项目	National Natural Science Foundation of China[61273129] ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000462374000003
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34232
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, Johannesburg, South Africa
推荐引用方式 GB/T 7714	Zhou, Hua-Cheng,Guo, Bao-Zhu. Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance[J]. INTERNATIONAL JOURNAL OF CONTROL,2019,92(1):12-26.
APA	Zhou, Hua-Cheng,&Guo, Bao-Zhu.(2019).Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance.INTERNATIONAL JOURNAL OF CONTROL,92(1),12-26.
MLA	Zhou, Hua-Cheng,et al."Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance".INTERNATIONAL JOURNAL OF CONTROL 92.1(2019):12-26.