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弹性振动的闭环系统
引用本文:王康宁.弹性振动的闭环系统[J].中国科学A辑,1979,22(Z1):178-190.
作者姓名:王康宁
作者单位:中国科学院数学研究所
摘    要:细长体的飞行器在飞行中考虑了既有刚性运动又有弹性振动的运动,由于刚性运动对弹性振动的影响,通过安装在飞行器上面的仪表所测得的角速度作为反馈信号输入到控制器,由控制器输出端输出信号到执行机构来实现反馈控制,把刚性运动飞行器、弹性振动飞行器同时考虑作受控对象,这里我们研究了由刚性飞行器、弹性飞行器和控制器三者形成的闭环系统的弹性振动问题,得到了求闭环系统的频率和振型的公式,设计控制器使得闭环系统渐近稳定的条件和能控性、能观测性的条件。


ON THE CLOSED-LOOP OF THE ELASTIC VIBRATION OF SPACE VEHICLES WITH SLENDER BODY
WANG Kang-Ning.ON THE CLOSED-LOOP OF THE ELASTIC VIBRATION OF SPACE VEHICLES WITH SLENDER BODY[J].Science in China(Series A),1979,22(Z1):178-190.
Authors:WANG Kang-Ning
Abstract:In this paper, the motion of a space vehicle with slender body is taken into accouter of both its rigid body motion and its elastic vibration. Considering the influence of the rigid body motion on the elastic vibration, the angular velocity measured by the instruments mounted on the space vehicle is taken as a feedback signal into the controller, the output of which is transmitted as a signal into the actuator in order to realize the feedback control. The plant in consideration includes therefore both the vehicle in rigid motion and its elastic vibration. In this paper we deal with the problem of elastic vibration of the cloud-loop system formed by the vehicle in rigid motion, its elastic vibration and the controller. Expressions for the frequencies and for the modes of vibration with regard to the closed-loop system are obtained. Conditions for the asympotic stability of the closed-loop system and for the controllability and observability are given.
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