Title :
Bending and torsional vibration control of a flexible plate structure using H∞-based robust control law
Author :
Kar, I.N. ; Miyakura, T. ; Seto, K.
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India
fDate :
5/1/2000 12:00:00 AM
Abstract :
This paper presents a method of controlling the bending and torsional vibration modes of a flexible plate structure (theoretically which has infinite number of vibration modes) using H∞-based robust control. For this purpose, a three degree of freedom (DOF) reduced order lumped mass model of a plate structure is derived by considering first three vibration modes and neglecting the all other high-frequency modes. These neglected modes constitute the unstructured uncertainties of the system and taken care of in the time of design process. An idea is proposed to reduce the unmodeled system uncertainties by placing actuators in the node points of a neglected mode. As a result, it is possible to avoid the spillover instability (avoid the influence of a neglected mode) without affecting the control of lower order modes. Then a static state feedback controller is designed based on the reduced order model and the approximate knowledge of unmodeled uncertainties. The efficacy of feedback controller is shown through simulation and experimental studies
Keywords :
H∞ control; control system synthesis; flexible structures; reduced order systems; robust control; state feedback; vibration control; 3-DOF reduced order lumped mass model; H∞-based robust control law; actuators; bending vibration control; flexible plate structure; reduced order model; spillover instability avoidance; static state feedback controller design; torsional vibration control; unmodeled system uncertainty reduction; unstructured uncertainties; Actuators; Adaptive control; Flexible structures; Frequency; Process design; Reduced order systems; Robust control; Uncertainty; Upper bound; Vibration control;
Journal_Title :
Control Systems Technology, IEEE Transactions on
