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Volume 8
Issue 2
10.3390/pr8020223
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Article

On Parameter Stability Region of LADRC for Time-Delay Analysis with a Coupled Tank Application

by
Dazi Li
*,
Xun Chen
,
Jianqing Zhang
and
Qibing Jin
Institute of Automation, Beijing University of Chemical Technology, Beijing 100029, China
*
Author to whom correspondence should be addressed.
Processes 2020, 8(2), 223; https://doi.org/10.3390/pr8020223
Submission received: 4 January 2020 / Revised: 9 February 2020 / Accepted: 10 February 2020 / Published: 14 February 2020
(This article belongs to the Special Issue Active Flow Control Processes with Machine Learning and the Internet of Things)
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Abstract

The control of time-delay systems is a hot research topic. Ever since the theory of linear active disturbance rejection control (LADRC) was put forward, considerable progress has been made. LADRC shows a good control effect on the control of time-delay systems. The problem about the parameter stability region of LADRC controllers has been seldom discussed, which is very important for practical application. In this study, the dual-locus diagram method, which is used to solve the upper limit of the LADRC controller bandwidth, is studied for both first-order time-delay systems and second-order time-delay systems. The characteristic equation roots distribution is firstly transformed into the problem of finding the frequency of the dual-locus diagram intersection point. To solve the problem for second-order time-delay system LADRC controllers, which is a dual 10-order nonlinear equation, a transformation has been made through Euler’s formula and genetic algorithm (GA) has been adopted to search for the optimal parameters. Simulation results and experimental results on coupled tanks show the effectivity of the proposed method.
Keywords: LADRC; dual-locus diagram; GA; PLC; parameter stability region LADRC; dual-locus diagram; GA; PLC; parameter stability region

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MDPI and ACS Style

Li, D.; Chen, X.; Zhang, J.; Jin, Q. On Parameter Stability Region of LADRC for Time-Delay Analysis with a Coupled Tank Application. Processes 2020, 8, 223. https://doi.org/10.3390/pr8020223

AMA Style

Li D, Chen X, Zhang J, Jin Q. On Parameter Stability Region of LADRC for Time-Delay Analysis with a Coupled Tank Application. Processes. 2020; 8(2):223. https://doi.org/10.3390/pr8020223

Chicago/Turabian Style

Li, Dazi, Xun Chen, Jianqing Zhang, and Qibing Jin. 2020. "On Parameter Stability Region of LADRC for Time-Delay Analysis with a Coupled Tank Application" Processes 8, no. 2: 223. https://doi.org/10.3390/pr8020223

APA Style

Li, D., Chen, X., Zhang, J., & Jin, Q. (2020). On Parameter Stability Region of LADRC for Time-Delay Analysis with a Coupled Tank Application. Processes, 8(2), 223. https://doi.org/10.3390/pr8020223

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