Optimization of PID Controller Based on Maximization of the Proportional Gain Under Constraints on Robustness and Sensitivity to Measurement Noise

Šekara, Tomislav B.; Mataušek, Miroslav R.

doi:10.1109/tac.2008.2008359

Cited by 97 publications

(52 citation statements)

References 13 publications

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“…In this case it is recommended to use some algorithm for global optimization, such as Particle Swarm Optimization algorithm (Rapaić, 2008), requiring good estimates of the range of unknown parameters. Other alternatives, presented here, are recently developed in (Šekara & Mataušek, 2009(Šekara & Mataušek, , 2010aMataušek & Šekara, 2011). For the PID controller (3), for F C (s)≡1 defined by four parameters k, k i , k d and T f , optimization under constraints on M n and M s is reduced in (Šekara & Mataušek, 2009) to the solution of a system of three algebraic equations with adequate initial values of the unknown parameters.…”

Section: Modeling and Classification Of Stable Integrating And Unstmentioning

confidence: 99%

“…Thus, by repeating calculations for a few values of the damping ratio of the controller zeros z in the range 0.5 z , the value of z corresponding to the minimum of IAE is obtained. Optimization methods from (Šekara & Mataušek, 2009) are denoted as max(k) and max(ki) methods.…”

Section: Modeling and Classification Of Stable Integrating And Unstmentioning

confidence: 99%

“…It is based on the recent investigations related to: I) the process modeling of a large class of stable processes, processes having oscillatory dynamics, integrating and unstable processes, with the ultimate gain k u (Šekara & Mataušek, 2010a;Mataušek & Šekara, 2011), and optimizations of the PID controller under constraints on the sensitivity to measurement noise, robustness, and closed-loop system damping ratio (Šekara & Mataušek, 2009(Šekara & Mataušek, ,2010aMataušek & Šekara, 2011), II) the closed-loop estimation of model parameters (Mataušek & Šekara, 2011;Šekara & Mataušek, 2011bŠekara & Mataušek, , 2011c, and III) the process classification and design of a new Gain Scheduling Control (GSC) in the parameter plane (Šekara & Mataušek, 2011a).…”

mentioning

confidence: 99%

“…When the proportional, integral, and derivative gains (k, k i , k d ) and derivative (noise) filter time constant T f are determined, parameter b can be tuned as proposed in (Panagopoulos et al, 2002). The PID controller (2), F C (s)≡1, can be implemented in the traditional form, when noise filtering affects the derivative term only if some conditions are fulfilled (Šekara & Mataušek, 2009). The derivative filter time constant T f must be an integral part of the PID optimization and tuning procedures (Isaksson & Graebe, 2002;Šekara & Mataušek, 2009).…”

mentioning

confidence: 99%

“…The PID controller (2), F C (s)≡1, can be implemented in the traditional form, when noise filtering affects the derivative term only if some conditions are fulfilled (Šekara & Mataušek, 2009). The derivative filter time constant T f must be an integral part of the PID optimization and tuning procedures (Isaksson & Graebe, 2002;Šekara & Mataušek, 2009). …”

mentioning

confidence: 99%

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PID Controller Tuning Based on the Classification of Stable, Integrating and Unstable Processes in a Parameter Plane

Šekara¹,

Mataušek²

2012

Frontiers in Advanced Control Systems

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Section: Modeling and Classification Of Stable Integrating And Unstmentioning

confidence: 99%

Section: Modeling and Classification Of Stable Integrating And Unstmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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PID Controller Tuning Based on the Classification of Stable, Integrating and Unstable Processes in a Parameter Plane

Šekara¹,

Mataušek²

2012

Frontiers in Advanced Control Systems

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From PID to ADRC and back: Expressing error‐based active disturbance rejection control schemes as standard industrial 1DOF and 2DOF controllers

Stankovic,

Ting,

Madonski

2024

Asian Journal of Control

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In this paper, we uncover a new connection between standard proportional‐integral (PI), proportional‐integral‐derivative (PID) controllers and active disturbance rejection control (ADRC), from which we establish formal conditions of equivalence between the two control schemes. Using the equivalence, we devise a step‐by‐step procedure of transitioning from PI/PID to error‐based ADRC. We also show how to go from one degree‐of‐freedom (1DOF) to two degree‐of‐freedom (2DOF) ADRC while retaining a standard 2DOF PI/PID structure. Both procedures facilitate expressing error‐based ADRC schemes as standard industrial 1DOF and 2DOF controllers. This allows the designed controller to have the desired characteristic of ADRC (i.e., strong robustness against internal and external uncertainties) while still being expressed in a form that is familiar to industrial practitioners, where PI/PID structures are still the workhorse of modern control systems. The paper's results ensure backward compatibility of future ADRC‐based solutions and foster the adoption of active disturbance rejection‐based methods in industrial practice as a viable alternative to standard controllers. To further support the findings, a set of tests is conducted in time and frequency domain.

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Robust and nonlinear control literature survey (No. 11)

2009

Intl J Robust & Nonlinear

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In order to keep readers up-to-date, the journal will contain a list of recently published journal articles relevant to the fields of robust and nonlinear control six times a year. This list is compiled from a wide range of journals. Please note that even though the list has been broadly categorized these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please email Leonardo Giovanini at lgiovanini@fich.unl. edu.ar. THEORETICAL DEVELOPMENTS IN ROBUST CONTROL

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Optimization of PID Controller Based on Maximization of the Proportional Gain Under Constraints on Robustness and Sensitivity to Measurement Noise

Cited by 97 publications

References 13 publications

PID Controller Tuning Based on the Classification of Stable, Integrating and Unstable Processes in a Parameter Plane

PID Controller Tuning Based on the Classification of Stable, Integrating and Unstable Processes in a Parameter Plane

From PID to ADRC and back: Expressing error‐based active disturbance rejection control schemes as standard industrial 1DOF and 2DOF controllers

Robust and nonlinear control literature survey (No. 11)

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