Application of Variable Structure Control in the Rotating Disk System

變結構控制在旋轉圓盤系統的應用

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

《中華民國振動與噪音工程學會論文集》 1994 (1994/06) Pp. 153-161

https://doi.org/10.30028/CSSVANNUAL.199406.0153

摘要

中心夾住之旋轉圓盤是渦輪機、迴轉輪、圓鋸及磁碟機之基本組件，其振動的控制是重要的工作，本文以變結構系統(VSS)理論設計控制法則，並應用於非等速旋轉圓盤的橫向振動控制。VSS的最大特色是其強健性控制，在許多例子中對於未定參數及外在干擾具不變性。本文以llamilton定理推導非等速旋轉圓盤的統御方程式，再以Galerkin方法解此系統成無限的模態方程式。藉由獨立模態空間控制(IMSC)的方法，以VSS設計控制程序抑制等速及非等速旋轉圓盤的橫向振動，旋轉速度的微擾及外在干擾亦作探討。

並列摘要

Centrally-clamped rotating disks are the basic machine element of steam and gas turbines, grinding wheels, circular saw, and computer disk memories. The tranverse vibration control is an important task in the application of rotating disk. Here, a novel control solution based on the variable structure system (VSS) principle is formulated, designed, tested, in the control of the tranverse vibration of the disk rotating with non-constant angular velocity. The most distinguished feature of VSS is its ability to result in very robust control, in many cases it is insenstive to parametric uncertainly and external disturbances. In this paper, Hamilton's principle is applied to derive the govering equation of the disk rorating with non-constant angular velocity. Galerkin method is employed to discrete the system into infinite modal equations. The approach is based on independent modal space control (IMSC), and the VSS is used to design the control procedure to suppress the transverse vibration of the rorating disk in the cases of constant and non-constant speeds. The perturbation of the angular velocity and external disturbance are also investigated.