Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus
In this paper, we first address the uniformly exponential stability (UES) problem of a group of distributed cooperative adaptive systems in a general framework. Inspired by consensus theory, distributed cooperative adaptive laws are proposed to estimate the unknown parameters of these systems. It is...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2014
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| Online Access: | https://hdl.handle.net/10356/103818 http://hdl.handle.net/10220/19304 |
| _version_ | 1811685536841072640 |
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| author | Chen, Weisheng Wen, Changyun Hua, Shaoyong Sun, Changyin |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Chen, Weisheng Wen, Changyun Hua, Shaoyong Sun, Changyin |
| author_sort | Chen, Weisheng |
| collection | NTU |
| description | In this paper, we first address the uniformly exponential stability (UES) problem of a group of distributed cooperative adaptive systems in a general framework. Inspired by consensus theory, distributed cooperative adaptive laws are proposed to estimate the unknown parameters of these systems. It is shown that not only is the entire closed-loop system stable, but also both the identification/tracking error and the parameter estimation error converge to zero uniformly exponentially under a cooperative persistent excitation (PE) condition of a regressor matrix in each system which is weaker than the traditionally defined PE condition. The effects of network topology on UES of the closed-loop system are also explored. If the topology is time-invariant, it needs to be undirected and connected. However, when the topology is time-varying, it is just required that the integration of the topology over an interval with fixed length is undirected and connected. The established results are then employed to identify and control several classes of linearly parameterized systems. Simulation examples are also provided to demonstrate the effectiveness and applications of the proposed distributed cooperative adaptive laws. |
| first_indexed | 2024-10-01T04:46:05Z |
| format | Journal Article |
| id | ntu-10356/103818 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:46:05Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/1038182020-03-07T14:02:43Z Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus Chen, Weisheng Wen, Changyun Hua, Shaoyong Sun, Changyin School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering In this paper, we first address the uniformly exponential stability (UES) problem of a group of distributed cooperative adaptive systems in a general framework. Inspired by consensus theory, distributed cooperative adaptive laws are proposed to estimate the unknown parameters of these systems. It is shown that not only is the entire closed-loop system stable, but also both the identification/tracking error and the parameter estimation error converge to zero uniformly exponentially under a cooperative persistent excitation (PE) condition of a regressor matrix in each system which is weaker than the traditionally defined PE condition. The effects of network topology on UES of the closed-loop system are also explored. If the topology is time-invariant, it needs to be undirected and connected. However, when the topology is time-varying, it is just required that the integration of the topology over an interval with fixed length is undirected and connected. The established results are then employed to identify and control several classes of linearly parameterized systems. Simulation examples are also provided to demonstrate the effectiveness and applications of the proposed distributed cooperative adaptive laws. Accepted version 2014-05-09T08:38:37Z 2019-12-06T21:21:00Z 2014-05-09T08:38:37Z 2019-12-06T21:21:00Z 2014 2014 Journal Article Chen, W., Wen, C., Hua, S., & Sun, C. (2014). Distributed Cooperative Adaptive Identification and Control for a Group of Continuous-Time Systems With a Cooperative PE Condition via Consensus. IEEE Transactions on Automatic Control, 59(1), 91-106. 0018-9286 https://hdl.handle.net/10356/103818 http://hdl.handle.net/10220/19304 10.1109/TAC.2013.2278135 en IEEE transactions on automatic control © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/TAC.2013.2278135]. 16 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Chen, Weisheng Wen, Changyun Hua, Shaoyong Sun, Changyin Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus |
| title | Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus |
| title_full | Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus |
| title_fullStr | Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus |
| title_full_unstemmed | Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus |
| title_short | Distributed cooperative adaptive identification and control for a group of continuous-time systems with a cooperative PE condition via consensus |
| title_sort | distributed cooperative adaptive identification and control for a group of continuous time systems with a cooperative pe condition via consensus |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/103818 http://hdl.handle.net/10220/19304 |
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