| Title | Brockett's Second Example: A FAS Approach Treatment |
| Author | |
| Corresponding Author | Duan, Guang-Ren |
| Publication Years | 2023-10-01
|
| DOI | |
| Source Title | |
| ISSN | 1009-6124
|
| EISSN | 1559-7067
|
| Volume | 36Issue:5 |
| Abstract | In this paper, several equivalent forms of the well-known Brockett's second example system are firstly presented. The stabilization of the system is then treated in the fully actuated system approach. A simple continuous time-invariant sub-stabilizing controller is designed, and the corresponding region of attraction is characterized. As a result, all trajectories of the system starting from the characterized region of attraction are driven exponentially to the origin. Since the region of attraction is very large, the designed sub-stabilizing controller can be directly useful in many practical situations. In cases where the initial values are indeed needed to be chosen out of the region of attraction, extremely simple pre-controllers can be designed, which drive the system trajectories into the designed region of attraction. A simulation of the designed control system is carried out to show the effect of the proposed approach. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Interdisciplinary Applications
|
| WOS Accession No | WOS:001085954700001
|
| Publisher | |
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/582860 |
| Affiliation | 1.Southern Univ Sci & Technol, Shenzhen Key Lab Control Theory & Intelligent Syst, Shenzhen 518055, Peoples R China 2.Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China |
| First Author Affilication | Southern University of Science and Technology |
| Corresponding Author Affilication | Southern University of Science and Technology |
| First Author's First Affilication | Southern University of Science and Technology |
| Recommended Citation GB/T 7714 |
Duan, Guang-Ren. Brockett's Second Example: A FAS Approach Treatment[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2023,36(5).
|
| APA |
Duan, Guang-Ren.(2023).Brockett's Second Example: A FAS Approach Treatment.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,36(5).
|
| MLA |
Duan, Guang-Ren."Brockett's Second Example: A FAS Approach Treatment".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 36.5(2023).
|
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