Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach
In this paper, distributed control of uncertain multi-agent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients and multiple unknown control directions is investigated. Firstly, a new theorem with a series of novel Nussbaum functions are presented, which s...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/163766 |
| _version_ | 1811677995710021632 |
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| author | Liu, Zongcheng Huang, Jiangshuai Wen, Changyun Su, Xiaojie |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Liu, Zongcheng Huang, Jiangshuai Wen, Changyun Su, Xiaojie |
| author_sort | Liu, Zongcheng |
| collection | NTU |
| description | In this paper, distributed control of uncertain multi-agent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients and multiple unknown control directions is investigated. Firstly, a new theorem with a series of novel Nussbaum functions are presented, which solve the outstanding problem in control of nonlinear systems with unknown time-varying control coefficients and unknown signs. Secondly, global consensus of MAS with unknown time-varying control coefficients and unknown system nonlinearities under directed graph is firstly achieved, and the transient tracking performance is also guaranteed. Thirdly, a novel filter is proposed for each agent which does not require a prior knowledge of time derivative of leader. Finally, simulation results show the effectiveness of the proposed control schemes. |
| first_indexed | 2024-10-01T02:46:14Z |
| format | Journal Article |
| id | ntu-10356/163766 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:46:14Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1637662022-12-16T02:48:00Z Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach Liu, Zongcheng Huang, Jiangshuai Wen, Changyun Su, Xiaojie School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Global Adaptive Consensus Unknown Nonlinearities In this paper, distributed control of uncertain multi-agent systems (MAS) with completely unknown nonlinearities, unknown time-varying control coefficients and multiple unknown control directions is investigated. Firstly, a new theorem with a series of novel Nussbaum functions are presented, which solve the outstanding problem in control of nonlinear systems with unknown time-varying control coefficients and unknown signs. Secondly, global consensus of MAS with unknown time-varying control coefficients and unknown system nonlinearities under directed graph is firstly achieved, and the transient tracking performance is also guaranteed. Thirdly, a novel filter is proposed for each agent which does not require a prior knowledge of time derivative of leader. Finally, simulation results show the effectiveness of the proposed control schemes. Published version This work was supported in part by the National Key Research and Development Program of China under Grant 2019YFB1312002; in part by the National Natural Science Foundation of China under Grant 62173051, and in part by the Basic Science and Frontier Technology Research Projects of Chongqing Science and Technology Program (General Projects) under Grant cstc2021jcyj-msxmX1041, and also in partly funded by Xi’ an Youth Talent Promotion Plan under grant 095920201309. 2022-12-16T02:47:59Z 2022-12-16T02:47:59Z 2022 Journal Article Liu, Z., Huang, J., Wen, C. & Su, X. (2022). Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach. IEEE Transactions On Automatic Control, 1-13. https://dx.doi.org/10.1109/TAC.2022.3206135 0018-9286 https://hdl.handle.net/10356/163766 10.1109/TAC.2022.3206135 2-s2.0-85139446664 1 13 en IEEE Transactions on Automatic Control © 2022 IEEE. This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/ application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Global Adaptive Consensus Unknown Nonlinearities Liu, Zongcheng Huang, Jiangshuai Wen, Changyun Su, Xiaojie Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach |
| title | Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach |
| title_full | Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach |
| title_fullStr | Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach |
| title_full_unstemmed | Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach |
| title_short | Distributed control of nonlinear systems with unknown time-varying control coefficients: a novel Nussbaum function approach |
| title_sort | distributed control of nonlinear systems with unknown time varying control coefficients a novel nussbaum function approach |
| topic | Engineering::Electrical and electronic engineering Global Adaptive Consensus Unknown Nonlinearities |
| url | https://hdl.handle.net/10356/163766 |
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