KMS Of Academy of mathematics and systems sciences, CAS
| Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance | |
Zhou, Hua-Cheng1; Guo, Bao-Zhu1,2
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| 2019-01-02 | |
| Source Publication | INTERNATIONAL JOURNAL OF CONTROL
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| ISSN | 0020-7179 |
| Volume | 92Issue:1Pages:12-26 |
| Abstract | 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. |
| Keyword | Active disturbance rejection control sliding mode control boundary feedback control stabilisation |
| DOI | 10.1080/00207179.2016.1235286 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61273129] ; National Research Foundation of South Africa |
| WOS Research Area | Automation & Control Systems |
| WOS Subject | Automation & Control Systems |
| WOS ID | WOS:000462374000003 |
| Publisher | TAYLOR & FRANCIS LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34232 |
| Collection | 系统科学研究所 |
| Corresponding Author | Guo, Bao-Zhu |
| Affiliation | 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 |
| Recommended Citation 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. |
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