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剛度和阻尼系數(shù)對LQG控制主動(dòng)懸架控制的影響分析
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國家自然科學(xué)基金資助項(xiàng)目(50805066,、51575239)


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

    分別基于半車4自由度線性與非線性車輛模型,,設(shè)計(jì)了主動(dòng)懸架LQG控制器,,并通過理論推導(dǎo)和數(shù)值仿真解析了剛度和阻尼系數(shù)對懸架控制的影響,。線性模型理論推導(dǎo)表明,LQG控制主動(dòng)懸架系統(tǒng)的Ricatti方程的解與剛度和阻尼系數(shù)無關(guān),,進(jìn)而得出了該主動(dòng)懸架的時(shí)域響應(yīng)與剛度和阻尼系數(shù)無關(guān)的結(jié)論,。線性模型數(shù)值仿真表明,由剛度和阻尼系數(shù)產(chǎn)生的被動(dòng)力與主動(dòng)控制力組成的整體控制力相互獨(dú)立且不受剛度和阻尼系數(shù)的影響,;主動(dòng)控制力的全局阻尼特性隨著其并聯(lián)阻尼的增加而明顯由正特性轉(zhuǎn)變?yōu)樨?fù)特性,。針對通用的非線性車輛模型,通過控制系統(tǒng)線性化,、線性化后控制系統(tǒng)LQG控制器設(shè)計(jì)及控制反線性化這3個(gè)環(huán)節(jié)完成非線性主動(dòng)懸架的LQG控制設(shè)計(jì),。設(shè)計(jì)過程表明,非線性剛度和阻尼系數(shù)的力作用在控制系統(tǒng)線性化和控制反線性化中被抵消,,使得懸架的整體控制力不受此兩系數(shù)的影響,,說明以上線性主動(dòng)懸架的研究結(jié)論也適用于具有非線性剛度和阻尼特性的主動(dòng)懸架。

    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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趙彩虹,陳士安,王駿騁.剛度和阻尼系數(shù)對LQG控制主動(dòng)懸架控制的影響分析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2015,46(12):301-308354. Zhao Caihong, Chen Shian, Wang Juncheng. Influences of Stiffness and Damping Parameters on Control of Active Suspension Based on LQG[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(12):301-308354.

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  • 收稿日期:2015-08-03
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  • 在線發(fā)布日期: 2015-12-10
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