Control orientated synthesis of high-performance piezoelectric shunt impedances for structural vibration control

• Published in: IEEE transactions on control systems technology Vol. 13; no. 1; pp. 98 - 112
• Main Authors: Fleming, A.J., Moheimani, S.O.R.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Active; Applied sciences; Capacitive sensors; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Damping; Exact sciences and technology; Impedance; Miscellaneous; noise control; piezoelectric; Piezoelectric actuators; Piezoelectric transducers; Resonance; self-sensing; sensor-less; shunt; Shunt (electrical); Strain control; vibration; Vibration control; Voltage; Piezoelectric sensor; Shunt; Resonant circuit; Control synthesis; Mechanical control; Passive system; Electrical connection; Active system; Resonance frequency; Vibration control; Strain control; Actuator; Electrical impedance
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2004.838547

Piezoelectric transducers are commonly used as strain actuators in the control of mechanical vibration. One control strategy, termed piezoelectric shunt damping, involves the connection of an electrical impedance to the terminals of a structurally bonded transducer. When subject to deflection, charge generated in the transducer flows through the external impedance developing a counteractive voltage across the terminals. Many passive, nonlinear, and semiactive impedance designs have been proposed that maximize this counteractive effect. This paper introduces a new technique for the design and implementation of piezoelectric shunt impedances. By considering the transducer voltage and charge as inputs and outputs, the design problem is reduced to a standard linear regulator problem enabling the application of standard synthesis techniques such as LQG, H/sub 2/, and H/sub /spl infin//. The resulting impedance is extensible to multitransducer systems, is unrestricted in structure, and is capable of minimizing an arbitrary performance objective. Experimental comparison to a resonant shunt circuit is carried out on a cantilever beam. Previous problems such as ad hoc tuning, limited performance, and sensitivity to variation in structural resonance frequencies are significantly alleviated.