AccScience Publishing / IJOCTA / Volume 15 / Issue 2 / DOI: 10.36922/ijocta.1712
RESEARCH ARTICLE

A modified graphical based tuning and performance analysis of second order LADRC using frequency domain technique for SISO systems

Janeshwaran Gunasekaran1 Ezhilarasi Deenadayalan1* Radhakrishnan Thota Karunakaran2 Deepak Prasanna Rajendran1
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1 Department of Instrumentation and Control Engineering, National Institute of Technology, Tiruchirappalli, India
2 Department of Chemical Engineering, National Institute of Technology, Tiruchirappalli, India
IJOCTA 2025, 15(2), 153–166; https://doi.org/10.36922/ijocta.1712
Received: 18 October 2024 | Accepted: 21 January 2025 | Published online: 24 April 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

This paper proposes a simplified frequency based tuning method for Second-order Linear Active Disturbance Rejection Control (SLADRC). By employing a 2-DOF structure for the controller, the challenge of optimizing numerous tuning parameters for complex systems is addressed. By considering the phase margin (PM) as one of the design specifications, an admissible region is mapped onto the Nyquist plot to identify the permissible bound for gain crossover frequencies (ωgc), from the known system frequency points. Distinct controllers with unique performance characteristics can be designed within the comprehensive set of design specifications (PM and ωgc). Subsequently, the optimal tuning parameter values are determined by identifying the design specifications that yield the desired response and the minimum ITSE. Two distinct approaches are proposed for selecting suitable design specifications: an iterative method and a heuristic-based method. These approaches rely on graphical analysis of time-domain performance metrics and robustness analysis using the disk margin. While the heuristic approach offers faster computation, the iterative method generally provides more accurate results. The reliability and versatility of the proposed tuning technique are validated on five distinct benchmark systems. The systems with time delay and unstable dynamics explains the detailed tuning procedure in performance study. In comparative study, time delay with integrating system, pure integrating system and nonminimum phase with higher order systems are considered, provides equivalent performance with reduced computational effort. Additionally, it is experimentally verified through a real-time speed control of a rotary servo system, achieving an ITSE of 16.2 and a disk margin of 1.332, confirming its practical applicability.

Keywords
Active disturbance rejection
Second order LADRC
Nyquist diagram
Optimal parameter tuning
Funding
None.
Conflict of interest
The authors declare that they have no conflict of interest regarding the publication of this article.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing