Using dynamic data reconciliation to improve the performance of PID feedback control systems with Gaussian/non-Gaussian distributed disturbance and measurement noise

Wangwang Zhu; Zhengjiang Zhang; Junghui Chen; Yi Liu; Tao Xia; Antonios Armaou; Sheng Zhao

doi:10.1016/j.isatra.2023.01.015

Using dynamic data reconciliation to improve the performance of PID feedback control systems with Gaussian/non-Gaussian distributed disturbance and measurement noise

ISA Trans. 2023 Jun:137:544-560. doi: 10.1016/j.isatra.2023.01.015. Epub 2023 Jan 17.

Authors

Wangwang Zhu¹, Zhengjiang Zhang², Junghui Chen³, Yi Liu⁴, Tao Xia⁵, Antonios Armaou⁶, Sheng Zhao⁷

Affiliations

¹ Institute of Process Equipment and Control Engineering, Zhejiang University of Technology, Hangzhou 310023, China; National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China.
² National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China. Electronic address: zjzhang@wzu.edu.cn.
³ Department of Chemical Engineering, Chung-Yuan Christian University, Chung-Li, Taoyuan, 32023, Taiwan, ROC. Electronic address: jason@wavenet.cycu.edu.tw.
⁴ Institute of Process Equipment and Control Engineering, Zhejiang University of Technology, Hangzhou 310023, China.
⁵ National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China.
⁶ Departments of Chemical and Mechanical Engineering, The Pennsylvania State University, University Park, PA, 16802, USA; College of Mechanical & Electrical Engineering, Wenzhou University, Wenzhou, 325035, China.
⁷ The Key Laboratory of Low-Voltage Apparatus Intellectual Technology of Zhejiang, Wenzhou University, Wenzhou 325035, China.

PMID: 36759295
DOI: 10.1016/j.isatra.2023.01.015

Abstract

For a stochastic PID feedback control system, the uncertainty of the working environment often leads to the unsatisfied performance of the system, which does not meet the profit requirements. The working environment generally includes external disturbance and measurement noise, etc. Gaussian distributed measurement noise and disturbances are widely considered while non-Gaussian distributed measurement noise and disturbances are rarely considered. In this paper, the performance degradation of Gaussian/non-Gaussian disturbances and measurement noise on a stochastic PID feedback system is considered and analyzed. An efficient method, dynamic data reconciliation (DDR) is developed to filter measurement noise and disturbances and improve the performance of the stochastic PID feedback control system. By utilizing model-based and measured information, DDR avoids time delays in output estimation. With the detailed theoretical analysis and simulation verification, the effectiveness of the proposed DDR technology on the stochastic PID feedback control system is verified. Compared with conventional exponential filters, DDR can achieve better control performance. The proposed DDR is also used for the control system of the DC-AC converter. The improved effect of DDR on the output quality is demonstrated by the results.

Keywords: Control performance; Disturbance; Dynamic data reconciliation; Measurement noise; Non-Gaussian distribution; PID control system.