摘要
提出非线性的分阶最优控制方法,并将其应用于梁的非线性振动压电减振控制。建立梁压电减振系统动力学模型,导出减振系统的非线性动力学运动微分方程,利用摄动法,实现非线性微分方程的线性化。将各阶线性方程解耦,化为状态空间方程。设计非线性分阶控制器,对减振系统进行分阶最优控制。仿真算例验证这种控制方法的有效性。
A non-linear graded optimal control scheme is proposed and used in the piezoelectric vibration reduction control of non-linear beams. The dynamic model of a non-linear vibration reduction beam with piezoelectric damper is built. The non-linear dynamic differential equations of the vibration reduction system are deduced. The differential equation is linearized into a set of linear equations by means of perturbation. The state space equations are obtained by decoupling in the space coordinates. The vibration reduction system is controlled by the non-linear graded controllers.
出处
《噪声与振动控制》
CSCD
北大核心
2011年第6期38-42,共5页
Noise and Vibration Control
基金
山东省自然基金项目资助(基金号:Y2007A33)
关键词
振动与波
减振
最优控制
压电
梁
非线性控制
vibration and wave
vibration reduction
optimal control
piezoelectric
beam
non-linear control
