Levenberg a Marquardtas Algorithm used for PID Controller Parameters Optimization

α
Ahmed Said Abd El-hamid
Ahmed Said Abd El-hamid
σ
Ahmed S. Abd El-Hamid
Ahmed S. Abd El-Hamid
ρ
Ahmed H. Eissa
Ahmed H. Eissa
Ѡ
ALy Radwan
ALy Radwan
α National Research Centre

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Levenberg a Marquardtas Algorithm used for  PID Controller Parameters Optimization

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Abstract

The determination of parameters of controllers is an important problem in automatic control systems. In this paper, the Levenberg Marquardt (LM) Algorithm is used to effectively solve this problem with reasonable computational effort. The Levenberg Marquardt (LM) Algorithm for optimization of three term (PID) controller parameters with dynamic model of pH neutralization process is presented. The main goal is to show the merits of Levenberg Marquardt algorithm optimization and to determine its suitability in the area of control systems. Lastly, the application of this approach to the calculation of the parameters of PID controller shows that the Levenberg Marquardt (LM) algorithm has a better dynamic performance of pH neutralization process.

References

8 Cites in Article
  1. Yancho Todorov,Margarita Terzyiska,Sevil Ahmed,Michail Petrov (2013). Fuzzy-neural predictive control using Levenberg-Marquardt optimization approach.
  2. A Ayman,Aly (2011). PID Parameters Optimization Using Genetic Algorithm Technique for Electrohydraulic Servo Control System.
  3. P Cominos,N Munro (2002). PID controllers: recent tuning methods and design to specification.
  4. W Wang,J Zhang,T Chai (2000). Survey of Advanced PID Parameter Tuning Methods.
  5. Kamran Turkoglu,Ugur Ozdemir,Melike Nikbay,Elbrous Jafarov (2008). PID Parameter Optimization of an UAV Longitudinal Flight Control System.
  6. B Kada,Y Ghazzawi (2011). Robust PID Controller Design for an UAV Flight Control System.
  7. B S U Mendis,T D Gedeon,. Kóczy (2006). Learning Generalized Weighted Relevance Aggregation Operators Using Levenberg-Marquardt.
  8. Xiangzhong Meng,Baoye Song (2007). Fast Genetic Algorithms Used for PID Parameter Optimization.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ahmed Said Abd El-hamid. 2015. \u201cLevenberg a Marquardtas Algorithm used for PID Controller Parameters Optimization\u201d. Global Journal of Research in Engineering - C: Chemical Engineering GJRE-C Volume 15 (GJRE Volume 15 Issue C1): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-C Classification: FOR Code: 090499
Version of record

v1.2

Issue date

May 8, 2015

Language
en
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The determination of parameters of controllers is an important problem in automatic control systems. In this paper, the Levenberg Marquardt (LM) Algorithm is used to effectively solve this problem with reasonable computational effort. The Levenberg Marquardt (LM) Algorithm for optimization of three term (PID) controller parameters with dynamic model of pH neutralization process is presented. The main goal is to show the merits of Levenberg Marquardt algorithm optimization and to determine its suitability in the area of control systems. Lastly, the application of this approach to the calculation of the parameters of PID controller shows that the Levenberg Marquardt (LM) algorithm has a better dynamic performance of pH neutralization process.

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Levenberg a Marquardtas Algorithm used for PID Controller Parameters Optimization

Ahmed S. Abd El-Hamid
Ahmed S. Abd El-Hamid
Ahmed H. Eissa
Ahmed H. Eissa
ALy Radwan
ALy Radwan

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