LQG control of piezoelectric smart truss

D. Grzybek
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Abstract

Truss, in which one or more passive members are replaced by active members containing piezoelectric actuator, have high coefficient of the vibration damping and have simultaneously low mass. The active members enable a generation of the forces having an effect on selected nods in the truss. Such truss is called smart truss in literature. Expected effect of the active members application is a counteraction of the external influences on the truss, for example by wind. A project of the control algorithm of such smart truss is a difficult task, because it is MIMO control object. The control algorithms, which are based on the state space model, is a promising direction in the scientific research, because designed control lows take into account the displacements and speeds of all nods of the truss. This paper presents the results of simulation research of control system with the use of LQG algorithm for exemplary truss. The application of LQG algorithm in the smart truss control could influence the increase of the vibration damping of such structure.
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压电智能桁架的LQG控制
在桁架结构中,将一个或多个被动构件替换为含有压电驱动器的主动构件,具有较高的减振系数和较低的质量。主动构件能够产生对桁架中选定节点产生影响的力。这种桁架在文学上被称为智能桁架。主动构件应用的预期效果是对桁架的外部影响(例如风)的抵消。这种智能桁架的控制算法设计是一项艰巨的任务,因为它是一个多输入多输出的控制对象。基于状态空间模型的控制算法是一个很有前途的科学研究方向,因为设计的控制算法考虑了桁架各节点的位移和速度。本文介绍了应用LQG算法对典型桁架控制系统进行仿真研究的结果。将LQG算法应用于智能桁架控制中,可以影响该类结构的减振效果。
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