A comparative study on H-infinity based vibration controller of a flexible structure system

Author(s):  
K. Seto ◽  
I.N. Kar
Author(s):  
Chingyei Chung ◽  
Chin-yuh Lin

Abstract In this paper, the physical meaning of transfer function zeros for collocated control in a general flexible structure system is discussed. For a flexible structure system, we propose the “Zero Dynamic Theorem”. The theorem states that in a flexible structure system, the flexible structure can be a circulatory system (non-sysmetric stiffness matrix) with viscous and gyroscopic damping (non-symmetric damping matrix), if the sensor output (generalized displacement) and the actuator input (generalized force) are “dual type” and the transfer function is strict proper and coprime (no pole/zero cancellation); then, the transfer function zeros are the natural frequencies of constrained structure. Furthermore, with this theorem, the interlacing pole/zero property for the gyroscopic systems is presented.


1997 ◽  
Vol 9 (5) ◽  
pp. 387-392
Author(s):  
Indra N. Kar ◽  
◽  
Kazuto Seto

This paper presents a method of controlling the bending and torsional vibration mode of a flexible structure using H-infinity optimal control. A new idea is proposed in order to reduce the unmodeled system uncertainties by placing actuators in the nodes of certain neglected vibration modes. Then, the controller is designed based on the reduced order model and is capable of attenuating vibration without causing spillover instability. For this purpose, a three degree of freedom lumped parameter mass model of a plate structure is considered to control its vibrations using a dynamic output feedback controller. The actuator dynamics and the placement of the actuators are considered for a effective controller design method. The efficacy of the controller is shown through simulations.


Author(s):  
Wahyu Sukestyastama Putra ◽  
Jeki Kuswanto ◽  
Wahid Miftahul Ashari ◽  
Muhammad Koprawi

1994 ◽  
Vol 6 (3) ◽  
pp. 237-242
Author(s):  
Toru Watanabe ◽  
◽  
Kazuo Yoshida

In this paper robust stability and robust performance between an ordinary H-infinity controller and μ-controller are compared for the case of vibration control of a flexible structure using two active dynamic vibration absorbers. The structure possesses eight transverse-torsional coupled vibration modes, and the aim of this study is to reduce transverse and torsional vibrations simultaneously. After some control experiments were carried out, it was confirmed that the μ-controller shows better robust stability and robust performance than an ordinary H-infinity controller


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