Vibration Control of Distributed Parameter Systems by Finite Difference Approximation

以有限差分法進行分佈系統之振動控制

劉育釧(Y. C. Liu) ； 楊世銘(S. M. Yang)

《中國航空太空學會學刊》 26卷3期 (1994/09) Pp. 203-210

https://doi.org/10.6124/TAASRC.199409_26(3).03

摘要

本文以一輸出迴授的控制方法進行分佈系統的振動控制。此控制方法以線分法(method of lines)模擬分佈系統以避免分佈狀態的量測和估測之困擾，對於結構控制常用的位移，速度，加速度和應變等之量測，此輸出迴授控制方法皆可適用，文內並以一迴轉樑之振動控制以說明此法之可行性。

並列摘要

An output feedback algorithm for vibration control of distributed parameters systems is presented in this paper. The algorithm requires neither estimation nor measurement of the distributed states. The algorithm requires neither estimation nor measurement of the distributed states. The functional Riccati equation associated with the infinite dimensional system is solved by a finite difference numerical technique termed the method of lines. It is shown that the controller design depends on the pseudo inverse calculation of the output influence matrix. For structural control system with commonly used output measurements-displacement, velocity, acceleration, and strain-the pseudo inverse and hence the control input is always obtainable. Application to the example of a slewing flexible beam shows that the flexible body vibration can be effectively suppressed by a boundary control at the hub.

並列關鍵字

output feedback ； distributed parameter system ； method of lines