非线性土木结构振动控制的逆系统方法
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摘要
采用多变量非线性控制的逆系统理论,将多变量、非线性的复杂被控对象精确线性化成伪线性系统,对于该伪线性系统很容易基于线性系统理论设计综合最优控制器。克服了传统的非线性结构近似线性化控制方法不够精确的缺点,实现了非线性结构的动态精确线性化控制。给出了一个仿真实例,将其控制效果与一般的线性和近似线性化最优控制作了比较,达到同样控制效果时本方法所需控制力显著减小。
The multivariable nonlinear system is linearized precisely into pseudo-linear integral systems on the basis of the multivariable inverse system theory.It's easy to design linear controllers for pseudo-linear system on the basis of linear system theory.The method adopts exact linearization instead of traditional approximate linearization.The analytical result shows that the control strategy can realize the precise dynamic control of vibration.A simulation example is given,and its control effect is compared with normal linear and approximate linearization control method.Simulation results demonstrate that the required control force for proposed method is significantly lesser than the other two to achieve equal control effect.
The multivariable nonlinear system is linearized precisely into pseudo-linear integral systems on the basis of the multivariable inverse system theory.It's easy to design linear controllers for pseudo-linear system on the basis of linear system theory.The method adopts exact linearization instead of traditional approximate linearization.The analytical result shows that the control strategy can realize the precise dynamic control of vibration.A simulation example is given,and its control effect is compared with normal linear and approximate linearization control method.Simulation results demonstrate that the required control force for proposed method is significantly lesser than the other two to achieve equal control effect.
引文
[1]欧进萍.结构振动控制-主动、半主动和智能控制[M].北京:科学出版社,2003.
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[4]陈国兴,金永彬,宰金珉.结构主动减震控制研究进展[J].地震工程与工程振动,1999,19(1):113-119.
[5]刘群.建筑结构抗震主动控制研究的现状与问题[J].四川建筑,1997,17(3):37-39.
[6]李春文,冯元琨.多变量非线性控制的逆系统方法[M].北京,清华大学出版社,1991.
[7]李春文,苗原,冯元琨,等.非线性系统控制的逆系统方法(Ⅰ)[J].控制与决策,1997,12(5):529-535.
[8]李春文,苗原,冯元琨,等.非线性系统控制的逆系统方法(Ⅱ):多变量控制理论[J].控制与决策,1997,12(6):625-630,642.
[9]Yang J N.Generalization of optimal control theory:linear and nonlinear control.Journal of Engineering Mechanics[J].1994,120(2):266-283.
[10]Yang J N.Seismic hybrid control of nonlinear and hysteretic structures II[J].Journal of Engineering Mechanics,1992,118(7):1441-1456.
[11]Yang J N.Optimal polynomial control for seismically excited non linear and hysteretic structures[J].Earthquake Engineering and Structural Dy-namics,1996,25(11):1211-1230.
[12]黄建文,赵斌.叠层橡胶支座基础隔震建筑的非线性时程分析[J].西安科技学院学报,2000,20(4):317-321.
[13]赵桂峰,刘雪珍.主动-基底隔震混合控制系统的研究[J].哈尔滨建筑大学学报,2000,33(4):8-11.
[14]魏德敏,康锦霞,韩海崴.基础隔震高层建筑地震响应的理论分析[J].地震工程与工程振动,2003,23(1):140-144.
[15]付伟庆,王焕定,祁峰.磁流变智能基础隔震系统研究[J].地震工程与工程振动,2005,25(3):167-171.
[16]张强,何玉敖.非线性振动控制的神经网络离散逆系统方法[J].天津大学学报,2005,38(7):615-619.
[2]每纲,沈亚鹏,王健.建筑结构振动控制的发展动态[J].力学进展,1998,28(4):442-452.
[3]李宏男,阎石.中国结构控制的研究与应用[J].地震工程与工程振动,1999,19(1):107-112.
[4]陈国兴,金永彬,宰金珉.结构主动减震控制研究进展[J].地震工程与工程振动,1999,19(1):113-119.
[5]刘群.建筑结构抗震主动控制研究的现状与问题[J].四川建筑,1997,17(3):37-39.
[6]李春文,冯元琨.多变量非线性控制的逆系统方法[M].北京,清华大学出版社,1991.
[7]李春文,苗原,冯元琨,等.非线性系统控制的逆系统方法(Ⅰ)[J].控制与决策,1997,12(5):529-535.
[8]李春文,苗原,冯元琨,等.非线性系统控制的逆系统方法(Ⅱ):多变量控制理论[J].控制与决策,1997,12(6):625-630,642.
[9]Yang J N.Generalization of optimal control theory:linear and nonlinear control.Journal of Engineering Mechanics[J].1994,120(2):266-283.
[10]Yang J N.Seismic hybrid control of nonlinear and hysteretic structures II[J].Journal of Engineering Mechanics,1992,118(7):1441-1456.
[11]Yang J N.Optimal polynomial control for seismically excited non linear and hysteretic structures[J].Earthquake Engineering and Structural Dy-namics,1996,25(11):1211-1230.
[12]黄建文,赵斌.叠层橡胶支座基础隔震建筑的非线性时程分析[J].西安科技学院学报,2000,20(4):317-321.
[13]赵桂峰,刘雪珍.主动-基底隔震混合控制系统的研究[J].哈尔滨建筑大学学报,2000,33(4):8-11.
[14]魏德敏,康锦霞,韩海崴.基础隔震高层建筑地震响应的理论分析[J].地震工程与工程振动,2003,23(1):140-144.
[15]付伟庆,王焕定,祁峰.磁流变智能基础隔震系统研究[J].地震工程与工程振动,2005,25(3):167-171.
[16]张强,何玉敖.非线性振动控制的神经网络离散逆系统方法[J].天津大学学报,2005,38(7):615-619.
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