粘弹性板混沌振动的输出变量反馈线性化控制  

Controlling Chaotic Oscillations of Viscoelastic Plates by the Linearization via Output Feedback

作　　者：陈立群[1] 程昌钧[1,2] 

机构地区：[1]上海大学 [2]上海大学力学系,上海200072

出　　处：《应用数学和力学》1999年第12期1229-1234,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金!(19727027);中国博士后科学基金!(98JC14032);上海市科技发展基金!(98SHB1417)

摘　　要：研究了粘弹性板混沌振动的控制问题·　应用非线性系统精确线性化控制理论导出了一类非仿射控制系统的非线性反馈控制律·　建立了描述材料非线性的粘弹性板运动的数学模型并利用Ｃａｌｅｒｋｉｎ 方法进行简化·　采用相空间曲线和频率谱密度函数说明了在特定参数条件下系统将出现混沌振动，并以位移为输出变量将混沌振动控制为给定的周期运动·Controlling chaotic oscillations of viscoelastic plates is investigated in this paper. Based on the exact linearization method in nonlinear system control theory, a nonlinear feedback control law is presented for a class of non_affine control systems. The mathematical model describing motion of nonlinear viscoelastic plates is established, and it is simplified by the Galerkin method. The phase space portrait and the power spectrum are employed to demonstrate chaos in the system. The deflection is treated as an output, and is controlled to given periodic goals.

关 键 词：输出变量 反馈线性化 粘弹性板 浑沌振动 

分 类 号：O322[理学—一般力学与力学基础]