Principles of development of invariant piezoresonance units with controlled dynamics

Alexander Zelensky, Sergey Pidchenko, Alla Taranchuk

Abstract


The paper represents principles of development of invariant to disturbing factors of piezoresonance units with controlled dynamics. The architecture of invariant multi-frequency piezoresonance units with controlled dynamics (IMFRU/CD) is represented as adaptive control system with predictive reference model. Its main component is the piezoresonance units’ core – multi-frequency piezoresonance oscillatory system (MPOS), with embedded supporting circuits of control, thermal and vibrational compensation, which is exposed to destabilize disturbing factors.

The objectives and criteria for terminal control were formulated in accordance to which the control process is divided into two stages: setting and stabilizing oscillation. The mathematical model of MPOS has been developed having in its base reduced by differential equations for amplitudes, phases of oscillations and voltages of auto-bias of active components in excitation channels.

The offered approach to development of piezoresonance units with controlled dynamics has allowed creating the new class of PRU to be invariant to disturbing destabilizing factors. This approach grounds on the principle of using natural redundancy (multi-frequency) of the piezoresonance units’ core that allows on the base of invariance theory not only synthesis of the system with current identification of disturbing factors, but also adaptation of the piezoresonance units relatively to their effects

Keywords


quartz resonator; piezoresonance units; system with controlled dynamics; multi-frequency oscillation systemquartz resonator; piezoresonance units; system with controlled dynamics; multi-frequency oscillation system

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References


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Copyright (c) 2014 Alexander Zelensky, Sergey Pidchenko, Alla Taranchuk

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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061