刚度和阻尼系数对LQG控制主动悬架控制的影响分析
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国家自然科学基金资助项目(50805066、51575239)


Influences of Stiffness and Damping Parameters on Control of Active Suspension Based on LQG
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    摘要:

    分别基于半车4自由度线性与非线性车辆模型,设计了主动悬架LQG控制器,并通过理论推导和数值仿真解析了刚度和阻尼系数对悬架控制的影响。线性模型理论推导表明,LQG控制主动悬架系统的Ricatti方程的解与刚度和阻尼系数无关,进而得出了该主动悬架的时域响应与刚度和阻尼系数无关的结论。线性模型数值仿真表明,由刚度和阻尼系数产生的被动力与主动控制力组成的整体控制力相互独立且不受刚度和阻尼系数的影响;主动控制力的全局阻尼特性随着其并联阻尼的增加而明显由正特性转变为负特性。针对通用的非线性车辆模型,通过控制系统线性化、线性化后控制系统LQG控制器设计及控制反线性化这3个环节完成非线性主动悬架的LQG控制设计。设计过程表明,非线性刚度和阻尼系数的力作用在控制系统线性化和控制反线性化中被抵消,使得悬架的整体控制力不受此两系数的影响,说明以上线性主动悬架的研究结论也适用于具有非线性刚度和阻尼特性的主动悬架。

    Abstract:

    The objective of this research was to supply theoretical bases for design and optimization of stiffness and damping parameters of active suspension system based on LQG control. Taking linear and nonlinear half car models with 4-degrees of freedom (DOF) as research examples respectively, influences of the above two parameters on active suspension system were analyzed through theoretical derivation and numerical simulation. Theoretical derivation about the linear model showed that the Ricatti Equation’s solution of the active suspension system based on LQG had nothing to do with stiffness and damping parameters. Result came as that the time domain response of the active suspension system had nothing to do with stiffness and damping parameters. Numerical simulation about the linear model revealed that each integral force made up with stiffness force, damping one and active control one were independent of the other and invariable when stiffness and damping parameters were changed, and the global damping characteristics of the active control obviously became negative from positive with its parallel damping parameter increasing. As for the nonlinear car model in general, three steps, including linearizing the control system, designing LQG controller for the linearized control system, and de-linearizing in control implement, were executed to achieve the LQG controller for the nonlinear active suspension system. The design process showed that the integral forces were not influenced by stiffness and damping parameters, because their force actions were counteracted in the above linearizing and de-linearizing steps. Thus, the above results about the linear active suspension system were also true when the active suspension system was with nonlinear stiffness and damping characteristics.

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赵彩虹,陈士安,王骏骋.刚度和阻尼系数对LQG控制主动悬架控制的影响分析[J].农业机械学报,2015,46(12):301-308354.

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  • 收稿日期:2015-08-03
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  • 在线发布日期: 2015-12-10
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