{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T19:47:07Z","timestamp":1780084027535,"version":"3.54.0"},"reference-count":30,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T00:00:00Z","timestamp":1679443200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Joint Fund Project","award":["U1864206"],"award-info":[{"award-number":["U1864206"]}]},{"name":"National Natural Science Joint Fund Project","award":["20220203166SF"],"award-info":[{"award-number":["20220203166SF"]}]},{"name":"National Natural Science Joint Fund Project","award":["20210237"],"award-info":[{"award-number":["20210237"]}]},{"name":"Jilin Provincial Science and Technology Development Plan Project","award":["U1864206"],"award-info":[{"award-number":["U1864206"]}]},{"name":"Jilin Provincial Science and Technology Development Plan Project","award":["20220203166SF"],"award-info":[{"award-number":["20220203166SF"]}]},{"name":"Jilin Provincial Science and Technology Development Plan Project","award":["20210237"],"award-info":[{"award-number":["20210237"]}]},{"name":"State Key Laboratory of Automotive Simulation and Control of Jilin University","award":["U1864206"],"award-info":[{"award-number":["U1864206"]}]},{"name":"State Key Laboratory of Automotive Simulation and Control of Jilin University","award":["20220203166SF"],"award-info":[{"award-number":["20220203166SF"]}]},{"name":"State Key Laboratory of Automotive Simulation and Control of Jilin University","award":["20210237"],"award-info":[{"award-number":["20210237"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In order to balance the performance index and computational efficiency of the active suspension control system, this paper offers a fast distributed model predictive control (DMPC) method based on multi-agents for the active suspension system. Firstly, a seven-degrees-of-freedom model of the vehicle is created. This study establishes a reduced-dimension vehicle model based on graph theory in accordance with its network topology and mutual coupling constraints. Then, for engineering applications, a multi-agent-based distributed model predictive control method of an active suspension system is presented. The partial differential equation of rolling optimization is solved by a radical basis function (RBF) neural network. It improves the computational efficiency of the algorithm on the premise of satisfying multi-objective optimization. Finally, the joint simulation of CarSim and Matlab\/Simulink shows that the control system can greatly minimize the vertical acceleration, pitch acceleration, and roll acceleration of the vehicle body. In particular, under the steering condition, it can take into account the safety, comfort, and handling stability of the vehicle at the same time.<\/jats:p>","DOI":"10.3390\/s23063357","type":"journal-article","created":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T09:10:04Z","timestamp":1679476204000},"page":"3357","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Fast Distributed Model Predictive Control Method for Active Suspension Systems"],"prefix":"10.3390","volume":"23","author":[{"given":"Niaona","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Electrical and Electronic Engineering, Changchun University of Technology, Changchun 130012, China"},{"name":"State Key Laboratory of Automobile Simulation and Control, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sheng","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, Changchun University of Technology, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guangyi","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, Changchun University of Technology, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haitao","family":"Ding","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automobile Simulation and Control, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhe","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automobile Simulation and Control, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Konghui","family":"Guo","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automobile Simulation and Control, Jilin University, Changchun 130012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,22]]},"reference":[{"key":"ref_1","first-page":"1366","article-title":"Fuzzy logic and proportional integral derivative based multi-objective optimization of active suspension system of a 4 \u00d7 4 in-wheel motor driven electrical vehicle","volume":"29","year":"2022","journal-title":"J. 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