The influence of modeling error on dynamic compensation of sensors

The relationship between sensors´ modeling error and widening multiple of sensors´ working frequency band was analyzed quantitatively, and its spectrums were obtained. They offered the theoretic basis to estimate the feasibility and effect in engineering practice of the compensating method to improve the sensor´s dynamic characteristics, and proved that the compensating method has good reliability. Conclusions are drawn clearly: for a first-order system, the compensation effect is conspicuous, which only relates to modeling error but is independent of time constant; for a second-order system, the compensation effect is determined by modeling error and damping ratio. Within a wide range, if the damping ratio is larger, the modeling precision required to obtain the same compensation effect can be lower. Through quantitatively analysis, we found that the modeling precision in dynamic compensation should not be so high as one is taken for granted currently.