Adaptive vibration suppression system: an iterative control law for a piezoelectric actuator shunted by a negative capacitor

• Published in: IEEE transactions on ultrasonics, ferroelectrics, and frequency control Vol. 59; no. 12; pp. 2785 - 2796
• Main Authors: Kodejska, M., Mokry, P., Linhart, V., Vaclavik, J., Sluka, T.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-12-2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive systems; Capacitance; Capacitors; Exact sciences and technology; Frequency measurement; Frequency ranges; Fundamental areas of phenomenology (including applications); Impedance; Law; Mathematical models; Physics; Piezoelectric actuators; Product introduction; Solid mechanics; Spring constant; Springs; Structural and continuum mechanics; Studies; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations; Elastic constant; Piezoelectric sensor; Vibration; Control circuit; Shunt; Deformation modulus; Adaptive system; Iterative method; Passive circuit; Adaptive control; Vibration isolation; Modeling; Adaptive circuit; Operating conditions; High sensitivity; Extreme value; Piezoelectric actuators; Piezoelectric constant; Vibration control; Force control
• ISSN: 0885-3010; 1525-8955
• DOI: 10.1109/TUFFC.2012.2520

An adaptive system for the suppression of vibration transmission using a single piezoelectric actuator shunted by a negative capacitance circuit is presented. It is known that by using a negative-capacitance shunt, the spring constant of a piezoelectric actuator can be controlled to extreme values of zero or infinity. Because the value of spring constant controls a force transmitted through an elastic element, it is possible to achieve a reduction of transmissibility of vibrations through the use of a piezoelectric actuator by reducing its effective spring constant. Narrow frequency range and broad frequency range vibration isolation systems are analyzed, modeled, and experimentally investigated. The problem of high sensitivity of the vibration control system to varying operational conditions is resolved by applying an adaptive control to the circuit parameters of the negative capacitor. A control law that is based on the estimation of the value of the effective spring constant of a shunted piezoelectric actuator is presented. An adaptive system which achieves a self-adjustment of the negative capacitor parameters is presented. It is shown that such an arrangement allows the design of a simple electronic system which offers a great vibration isolation efficiency under variable vibration conditions.