TY - GEN
T1 - A Fractional-Order PID Controlled Iterative Calderon's Method for Electrical Capacitance Tomography
AU - Tian, Yu
AU - Zhang, Cao
AU - Hu, Die
AU - Gao, Xin
AU - Xu, Lijun
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021/5/17
Y1 - 2021/5/17
N2 - Electrical capacitance tomography (ECT) is a technique that uses image reconstruction algorithms to reconstruct permittivity distributions in the region of interest (ROI) with capacitances measured at the boundary of ROI. In this paper, a closed-loop iterative reconstruction algorithm is proposed, and it aims to eliminate the error between the measured capacitances and recuperative capacitances, and in this way, the quality of the reconstructed images is improved. The proposed algorithm includes three parts, namely, Fractional-order Proportional Integral Derivative (FPID) controller, Calderon's method, and a fast-solving forward method for numerical simulated capacitances in ECT. The error to be eliminated is the difference between measured capacitances and the simulated capacitances and is input to the FPID controller. When the coefficients in the FPID controller are determined, the output of controller is used to reconstruct permittivity distribution in the Calderon's method. Reconstructed image provides simulated capacitances as an updating reference for measured capacitances for the iterative reconstructions. Both noise-free and noisy data are used and verified the feasibility and effectiveness of the proposed algorithm for ECT.
AB - Electrical capacitance tomography (ECT) is a technique that uses image reconstruction algorithms to reconstruct permittivity distributions in the region of interest (ROI) with capacitances measured at the boundary of ROI. In this paper, a closed-loop iterative reconstruction algorithm is proposed, and it aims to eliminate the error between the measured capacitances and recuperative capacitances, and in this way, the quality of the reconstructed images is improved. The proposed algorithm includes three parts, namely, Fractional-order Proportional Integral Derivative (FPID) controller, Calderon's method, and a fast-solving forward method for numerical simulated capacitances in ECT. The error to be eliminated is the difference between measured capacitances and the simulated capacitances and is input to the FPID controller. When the coefficients in the FPID controller are determined, the output of controller is used to reconstruct permittivity distribution in the Calderon's method. Reconstructed image provides simulated capacitances as an updating reference for measured capacitances for the iterative reconstructions. Both noise-free and noisy data are used and verified the feasibility and effectiveness of the proposed algorithm for ECT.
KW - Calderon's method
KW - closed-loop iterative algorithm
KW - electrical capacitance tomography
KW - fractional-order PID controller
KW - image reconstruction
UR - https://www.scopus.com/pages/publications/85113712433
U2 - 10.1109/I2MTC50364.2021.9459887
DO - 10.1109/I2MTC50364.2021.9459887
M3 - 会议稿件
AN - SCOPUS:85113712433
T3 - Conference Record - IEEE Instrumentation and Measurement Technology Conference
BT - I2MTC 2021 - IEEE International Instrumentation and Measurement Technology Conference, Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2021
Y2 - 17 May 2021 through 20 May 2021
ER -