Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain

The paper explores the optimal vibration control design problem for a half-car suspension working on in-vehicle networks in delta domain. First, the original suspension system with ECU-actuator delay and sensor-ECU delay is modeled. By using delta operators, the original system is transformed into a...

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Main Authors: Jing Lei, Shun-Fang Hu, Zuo Jiang, Guo-Xing Shi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/912747
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author Jing Lei
Shun-Fang Hu
Zuo Jiang
Guo-Xing Shi
author_facet Jing Lei
Shun-Fang Hu
Zuo Jiang
Guo-Xing Shi
author_sort Jing Lei
collection DOAJ
description The paper explores the optimal vibration control design problem for a half-car suspension working on in-vehicle networks in delta domain. First, the original suspension system with ECU-actuator delay and sensor-ECU delay is modeled. By using delta operators, the original system is transformed into an associated sampled-data system with time delays in delta domain. After model transformation, the sampled-data system equation is reduced to one without actuator delays and convenient to calculate the states with nonintegral time delay. Therefore, the sampled-data optimal vibration control law can be easily obtained deriving from a Riccati equation and a Stein equation of delta domain. The feedforward control term and the control memory terms designed in the control law ensure the compensation for the effects produced by disturbance and actuator delay, respectively. Moreover, an observer is constructed to implement the physical realizability of the feedforward term and solve the immeasurability problem of some state variables. A half-car suspension model with delays is applied to simulate the responses through the designed controller. Simulation results illustrate the effectiveness of the proposed controller and the simplicity of the designing approach.
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id doaj-art-a631dad368c342bb81fd9c1bd6a9ad79
institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-a631dad368c342bb81fd9c1bd6a9ad792025-02-03T05:46:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/912747912747Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta DomainJing Lei0Shun-Fang Hu1Zuo Jiang2Guo-Xing Shi3School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming 650500, ChinaSchool of Mathematics and Computer Science, Yunnan Nationalities University, Kunming 650500, ChinaSchool of Mathematics and Computer Science, Yunnan Nationalities University, Kunming 650500, ChinaSchool of Mathematics and Computer Science, Yunnan Nationalities University, Kunming 650500, ChinaThe paper explores the optimal vibration control design problem for a half-car suspension working on in-vehicle networks in delta domain. First, the original suspension system with ECU-actuator delay and sensor-ECU delay is modeled. By using delta operators, the original system is transformed into an associated sampled-data system with time delays in delta domain. After model transformation, the sampled-data system equation is reduced to one without actuator delays and convenient to calculate the states with nonintegral time delay. Therefore, the sampled-data optimal vibration control law can be easily obtained deriving from a Riccati equation and a Stein equation of delta domain. The feedforward control term and the control memory terms designed in the control law ensure the compensation for the effects produced by disturbance and actuator delay, respectively. Moreover, an observer is constructed to implement the physical realizability of the feedforward term and solve the immeasurability problem of some state variables. A half-car suspension model with delays is applied to simulate the responses through the designed controller. Simulation results illustrate the effectiveness of the proposed controller and the simplicity of the designing approach.http://dx.doi.org/10.1155/2013/912747
spellingShingle Jing Lei
Shun-Fang Hu
Zuo Jiang
Guo-Xing Shi
Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain
Abstract and Applied Analysis
title Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain
title_full Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain
title_fullStr Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain
title_full_unstemmed Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain
title_short Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain
title_sort optimal vibration control for half car suspension on in vehicle networks in delta domain
url http://dx.doi.org/10.1155/2013/912747
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AT shunfanghu optimalvibrationcontrolforhalfcarsuspensiononinvehiclenetworksindeltadomain
AT zuojiang optimalvibrationcontrolforhalfcarsuspensiononinvehiclenetworksindeltadomain
AT guoxingshi optimalvibrationcontrolforhalfcarsuspensiononinvehiclenetworksindeltadomain