Adaptive NN control based on Butterworth low-pass filter for quarter active suspension systems with actuator failure

Xing Zhang; Lei Liu; Yan-Jun Liu; Xing Zhang; Lei Liu; Yan-Jun Liu

doi:10.3934/math.2021046

AIMS Mathematics

2021, Volume 6, Issue 1: 754-771. doi: 10.3934/math.2021046

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Research article

Adaptive NN control based on Butterworth low-pass filter for quarter active suspension systems with actuator failure

College of Science, Liaoning University of Technology, Jinzhou 121001, China

Received: 20 August 2020 Accepted: 20 October 2020 Published: 30 October 2020
MSC : 93B52, 93C95, 93D05

This paper focuses on the adaptive neural network (NN) control problem for nonlinear quarter active suspension systems with actuator failure. By using Butterworth low-pass filter (LPF), the second order active suspension system is converted to a fourth order system, which solves the problem of zero dynamics analysis in the second order system. Based on the adaptive backstepping technique, considering the actuator fault of vehicle, the corresponding fault tolerant controller is designed. At the same time, the unknown smooth functions are estimated by the NN. It is proved by stability analysis that all states in active suspension system are bounded. Finally, a simulation example is given to verify the effectiveness of the proposed method in a quarter active suspension system.
- adaptive control,
- fault tolerance,
- vehicle suspension systems,
- Butterworth low-pass filter,
- NN control
Citation: Xing Zhang, Lei Liu, Yan-Jun Liu. Adaptive NN control based on Butterworth low-pass filter for quarter active suspension systems with actuator failure[J]. AIMS Mathematics, 2021, 6(1): 754-771. doi: 10.3934/math.2021046

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Abstract

This paper focuses on the adaptive neural network (NN) control problem for nonlinear quarter active suspension systems with actuator failure. By using Butterworth low-pass filter (LPF), the second order active suspension system is converted to a fourth order system, which solves the problem of zero dynamics analysis in the second order system. Based on the adaptive backstepping technique, considering the actuator fault of vehicle, the corresponding fault tolerant controller is designed. At the same time, the unknown smooth functions are estimated by the NN. It is proved by stability analysis that all states in active suspension system are bounded. Finally, a simulation example is given to verify the effectiveness of the proposed method in a quarter active suspension system.

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