Automation Department, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Dynamical Systems and Control Research Group, Ghent University, 9052 Ghent, Belgium.
Sensors (Basel). 2021 Sep 2;21(17):5920. doi: 10.3390/s21175920.
The present manuscript aims at raising awareness of the endless possibilities of fractional calculus applied not only to system identification and control engineering, but also into sensing and filtering domains. The creation of the device has enabled the physical realization of a new array of sensors capable of gathering more information. The same fractional-order electronic component has led to the possibility of exploring analog filtering techniques from a practical perspective, enlarging the horizon to a wider frequency range, with increased robustness to component variation, stability and noise reduction. Furthermore, fractional-order digital filters have developed to provide an alternative solution to higher-order integer-order filters, with increased design flexibility and better performance. The present study is a comprehensive review of the latest advances in fractional-order sensors and filters, with a focus on design methodologies and their real-life applicability reported in the last decade. The potential enhancements brought by the use of fractional calculus have been exploited as well in sensing and filtering techniques. Several extensions of the classical sensing and filtering methods have been proposed to date. The basics of fractional-order filters are reviewed, with a focus on the popular fractional-order Kalman filter, as well as those related to sensing. A detailed presentation of fractional-order filters is included in applications such as data transmission and networking, electrical and chemical engineering, biomedicine and various industrial fields.
本文旨在提高人们对分数阶微积分的认识，不仅将其应用于系统辨识和控制工程领域，还应用于传感和滤波领域。该器件的创建使能够物理实现一系列新的传感器，这些传感器能够收集更多的信息。同样的分数阶电子元件使得从实际角度探索模拟滤波技术成为可能，将视野扩大到更宽的频率范围，提高了对元件变化、稳定性和降噪的鲁棒性。此外，分数阶数字滤波器的发展为提供了一种替代更高阶整数阶滤波器的解决方案，具有更高的设计灵活性和更好的性能。本研究是对分数阶传感器和滤波器最新进展的综合回顾，重点介绍了过去十年中报告的设计方法及其在实际应用中的适用性。在传感和滤波技术中也利用了分数阶微积分的潜在增强功能。迄今为止，已经提出了几种对经典传感和滤波方法的扩展。本文回顾了分数阶滤波器的基础知识，重点介绍了流行的分数阶卡尔曼滤波器，以及与传感相关的滤波器。详细介绍了分数阶滤波器在数据传输和网络、电气和化学工程、生物医学和各种工业领域等应用中的应用。
