Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon
This paper studies the optimal state-feedback LQG control (OSLC) of interconnected systems (ISs) with time-correlated process noises. In an IS, the information is transmitted among subsystems via the network, and the transmission time is proportional to the distance of the corresponding subsystem pa...
| 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/10356/161749 |
| _version_ | 1811679074563653632 |
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| author | Wang, Yan Su, Rong Wang, Bohui |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Wang, Yan Su, Rong Wang, Bohui |
| author_sort | Wang, Yan |
| collection | NTU |
| description | This paper studies the optimal state-feedback LQG control (OSLC) of interconnected systems (ISs) with time-correlated process noises. In an IS, the information is transmitted among subsystems via the network, and the transmission time is proportional to the distance of the corresponding subsystem pairs. This means that the information received by a subsystem includes the non-real-time information, and that the information from different subsystems may be of different time indexes. This makes the optimal controller design challenging. The OSLC of ISs with time-uncorrelated process noises is studied by an independence decomposition method in the existing literature. However, the existing independence decomposition method strongly relies on the condition that the process noises are time-uncorrelated, and fails for the time-correlated process noises case. In this paper, the globally optimal LQG controller of ISs with time-correlated process noises is successfully designed. In particular, a new cost function decomposition is obtained based on the Bellman equation. Both the system state and the control input are decomposed into two independent parts by the orthogonal decomposition technique. The proposed decomposition method leads to the successful design of the globally optimal controller. The proposed theoretical results are applied to a vehicle platoon system. The simulation shows that the platoon maintains a desired state and achieves a good performance under the proposed controller. |
| first_indexed | 2024-10-01T03:03:22Z |
| format | Journal Article |
| id | ntu-10356/161749 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:03:22Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1617492022-09-19T04:16:00Z Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon Wang, Yan Su, Rong Wang, Bohui School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Interconnected Systems LQG Control This paper studies the optimal state-feedback LQG control (OSLC) of interconnected systems (ISs) with time-correlated process noises. In an IS, the information is transmitted among subsystems via the network, and the transmission time is proportional to the distance of the corresponding subsystem pairs. This means that the information received by a subsystem includes the non-real-time information, and that the information from different subsystems may be of different time indexes. This makes the optimal controller design challenging. The OSLC of ISs with time-uncorrelated process noises is studied by an independence decomposition method in the existing literature. However, the existing independence decomposition method strongly relies on the condition that the process noises are time-uncorrelated, and fails for the time-correlated process noises case. In this paper, the globally optimal LQG controller of ISs with time-correlated process noises is successfully designed. In particular, a new cost function decomposition is obtained based on the Bellman equation. Both the system state and the control input are decomposed into two independent parts by the orthogonal decomposition technique. The proposed decomposition method leads to the successful design of the globally optimal controller. The proposed theoretical results are applied to a vehicle platoon system. The simulation shows that the platoon maintains a desired state and achieves a good performance under the proposed controller. Agency for Science, Technology and Research (A*STAR) National Research Foundation (NRF) This research is supported by A*STAR under its RIE2020 Advanced Manufacturing and Engineering (AME) Industry Alignment Fund C Pre Positioning (IAF-PP) (Award A19D6a0053); and supported by Singapore National Research Foundation via Delta-NTU Corporate Lab for Cyber Physical Systems (DELTA-NTU CORP LAB-SMA-RP140). 2022-09-19T04:16:00Z 2022-09-19T04:16:00Z 2022 Journal Article Wang, Y., Su, R. & Wang, B. (2022). Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon. Automatica, 137, 110018-. https://dx.doi.org/10.1016/j.automatica.2021.110018 0005-1098 https://hdl.handle.net/10356/161749 10.1016/j.automatica.2021.110018 2-s2.0-85119921568 137 110018 en A19D6a0053 DELTA-NTU CORP LAB-SMA-RP14 Automatica © 2021 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Electrical and electronic engineering Interconnected Systems LQG Control Wang, Yan Su, Rong Wang, Bohui Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon |
| title | Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon |
| title_full | Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon |
| title_fullStr | Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon |
| title_full_unstemmed | Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon |
| title_short | Optimal control of interconnected systems with time-correlated noises: application to vehicle platoon |
| title_sort | optimal control of interconnected systems with time correlated noises application to vehicle platoon |
| topic | Engineering::Electrical and electronic engineering Interconnected Systems LQG Control |
| url | https://hdl.handle.net/10356/161749 |
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