Design and Tuning of Reduced Order H-Infinity Feedforward Compensators for Active Vibration Control

• Published in: IEEE transactions on control systems technology Vol. 20; no. 2; pp. 554 - 561
• Main Authors: Alma, M., Martinez, J. J., Landau, I. D., Buche, G.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Acceleration; Active control; Actuators; Applied sciences; Automatic; Automatic voltage control; Compensators; Computer science; control theory; systems; Control systems; Control theory. Systems; Damping; Disturbances; Engineering Sciences; Exact sciences and technology; External disturbance rejection; Feedforward; feedforward compensator; Feedforward neural networks; Fundamental areas of phenomenology (including applications); H-infinity control; inertial actuators; Modelling and identification; Noise; Physics; Reduced order; Sensitivity; Solid mechanics; Structural and continuum mechanics; Tuning; Vibration control; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); {\rm H}_{\infty} control; Availability; Disturbance rejection; H infinite control; Electrodynamical converter; Feedback regulation; H; External disturbance rejection; control; Experimental study; feedforward compensator; Tuning; Model matching; Wide band; Active system; inertial actuators; Vibration control; Reduced order systems; System identification; Feedforward; Output feedback; H-infinity control
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2011.2119485

This brief presents a procedure for design and tuning of reduced orders H ∞ feedforward compensators for active vibration control systems subject to wide band disturbances. The procedure takes in account the inherent "positive" feedback coupling between the compensator system and the measurement of the image of the disturbance. It also takes advantage of the availability of reliable models obtained by system identification. A controller order reduction technique is proposed for reducing the complexity of the nominal H ∞ controller without degrading the performance. Experimental results obtained on an active vibration control system for a flexible mechanical structure will illustrate the procedure.