Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming

In view of the performance requirements (e.g., ride comfort, road holding, and suspension space limitation) for vehicle suspension systems, this paper proposes an adaptive optimal control method for quarter-car active suspension system by using the approximate dynamic programming approach (ADP). Onl...

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Main Authors: Zhi-Jun Fu, Bin Li, Xiao-Bin Ning, Wei-Dong Xie
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/4575926
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spelling doaj-dcef8cd73d874cc5b04eb9ebf3eba4b82020-11-24T22:56:11ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/45759264575926Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic ProgrammingZhi-Jun Fu0Bin Li1Xiao-Bin Ning2Wei-Dong Xie3College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, ChinaDepartment of Mechanical & Industrial Engineering, Concordia University, Montreal, QC, H3G 1M8, CanadaCollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, ChinaCollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, ChinaIn view of the performance requirements (e.g., ride comfort, road holding, and suspension space limitation) for vehicle suspension systems, this paper proposes an adaptive optimal control method for quarter-car active suspension system by using the approximate dynamic programming approach (ADP). Online optimal control law is obtained by using a single adaptive critic NN to approximate the solution of the Hamilton-Jacobi-Bellman (HJB) equation. Stability of the closed-loop system is proved by Lyapunov theory. Compared with the classic linear quadratic regulator (LQR) approach, the proposed ADP-based adaptive optimal control method demonstrates improved performance in the presence of parametric uncertainties (e.g., sprung mass) and unknown road displacement. Numerical simulation results of a sedan suspension system are presented to verify the effectiveness of the proposed control strategy.http://dx.doi.org/10.1155/2017/4575926
collection DOAJ
language English
format Article
sources DOAJ
author Zhi-Jun Fu
Bin Li
Xiao-Bin Ning
Wei-Dong Xie
spellingShingle Zhi-Jun Fu
Bin Li
Xiao-Bin Ning
Wei-Dong Xie
Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming
Mathematical Problems in Engineering
author_facet Zhi-Jun Fu
Bin Li
Xiao-Bin Ning
Wei-Dong Xie
author_sort Zhi-Jun Fu
title Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming
title_short Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming
title_full Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming
title_fullStr Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming
title_full_unstemmed Online Adaptive Optimal Control of Vehicle Active Suspension Systems Using Single-Network Approximate Dynamic Programming
title_sort online adaptive optimal control of vehicle active suspension systems using single-network approximate dynamic programming
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description In view of the performance requirements (e.g., ride comfort, road holding, and suspension space limitation) for vehicle suspension systems, this paper proposes an adaptive optimal control method for quarter-car active suspension system by using the approximate dynamic programming approach (ADP). Online optimal control law is obtained by using a single adaptive critic NN to approximate the solution of the Hamilton-Jacobi-Bellman (HJB) equation. Stability of the closed-loop system is proved by Lyapunov theory. Compared with the classic linear quadratic regulator (LQR) approach, the proposed ADP-based adaptive optimal control method demonstrates improved performance in the presence of parametric uncertainties (e.g., sprung mass) and unknown road displacement. Numerical simulation results of a sedan suspension system are presented to verify the effectiveness of the proposed control strategy.
url http://dx.doi.org/10.1155/2017/4575926
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AT binli onlineadaptiveoptimalcontrolofvehicleactivesuspensionsystemsusingsinglenetworkapproximatedynamicprogramming
AT xiaobinning onlineadaptiveoptimalcontrolofvehicleactivesuspensionsystemsusingsinglenetworkapproximatedynamicprogramming
AT weidongxie onlineadaptiveoptimalcontrolofvehicleactivesuspensionsystemsusingsinglenetworkapproximatedynamicprogramming
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