Application of Variable Structure Control in the Nonconstant Rotating Disk System

變結構控制在非等速旋轉圓盤的應用

馮榮豐(Rong-Fong Fung) ； 廖承展(Cheng-Chan Liao) ； 黃信行(Hsing-Hsin Huang)

《中國航空太空學會學刊》 27卷3期 (1995/09) Pp. 191-200

https://doi.org/10.6124/TAASRC.199509_27(3).03

摘要

在本文中，將變結構控制應用在非等速旋轉圓盤上的振動控制上，此方法是建立在獨立模態空間控制上，利用變結構控制所設計的控制器，來抑制陀螺系統的橫向振動。變結構控制的最大特色是其強健性，對於參數未確定性及外在干擾具不靈敏性，而能控制非線性系統使其廣受歡迎。在本文中，以Hamilton原理推導出，非等速旋轉圓盤的橫向振動統御方程式，再以Glaerkin方法將統御方程式離散化，使成爲常微分方程。最後以變結構控制理論設計每個控制模態的控制力，非等速旋轉圓盤系統受微擾、外在干擾或是參數未確定，經由此控制程序，控制模態的橫向振動被抑制。

關鍵字

變結構控制 ； 非等速旋轉圓盤

並列摘要

Centrally-clamped rotating disks are the basic machine element of steam and gas turbines, grinding wheels, circular saws, and computer disk memories. For these applications, it would be very desirable of transverse vibrations could be reduced. In this paper, a novel control solution based on the variable structure system (VSS) principle is presented for the control of transverse vibrations of a disk rotating with non-constant angular velocity. The most distinguishing feature of VSS is its robustness. In many cases it is insensitive to parametric uncertainty and external disturbances, Hamilton's principle is applied to derive the governing equation of the transverse vibrations for the spinning disk system. The Galerkin method is then employed to discretize the equations to ordinary differential equations. The approach is based on independent modal space control (IMSC), and the VSS principle is used to design the control procedure to suppress the transverse vibration of a rotating disk in the cases of constant and non-constant speeds. The effects of perturbation of the angular velocity and external disturbances on system stability are also investigated.

並列關鍵字

variable structure control ； non-constant angular velocity ； spinning disk