Methods to ensure stability of control systems based on pi and pid controllers

Authors

  • Юрій Михайлович Ковриго National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kyiv, Ukraine, 03056, Ukraine
  • Тарас Григорович Баган National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kyiv, Ukraine, 03056, Ukraine
  • Олександр Сергійович Бунке National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kyiv, Ukraine, 03056, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.14740

Keywords:

Control, regulator, stability, robustness, automation, dynamic adjustment, IMC

Abstract

In the real operation of automation systems, there is not a model that would describe without simplifications the behavior of the control object. Most technological objects are described by complex differential equations that cannot in practice precisely adjust a regulator, and can only get approximate parameters. The purpose of the research is a synthesis of the regulator, which would provide the set parameters of transient processes, irrespective of model errors or changes of equipment parameters during the process.

The article proposes the method of dynamic adjustment, which uses 2-channel structure: the main channel is responsible for system performance and the channel of adjustment compensates the excessive signal of the control effect, ensuring the sustainability of ACP in the final section of the transient process, which allows using the forced adjustments of the main channel.

The advantages of the regulator with internal structure are considered, the stability of closed-loop system is achieved by selecting a resistant IC regulator. As an estimation of an error of the adjustment, the H ∞-norm was taken. In a system with the IMC-H ∞ regulator the performance of transients are directly dependent on the parameters of the regulator, which makes its adjustment very easy-to-use.

The article proposed structural and algorithmic solutions for provision of a given operation quality of control systems. On the example of ACP of temperature of pulverized air-mixture, we conducted simulation and comparative analysis of the main indicators of quality of functioning of regulators. The use of these techniques allows sufficient stability while maintaining performance and other indicators of quality of the system operation throughout the operating range of load of the control object

Author Biographies

Юрій Михайлович Ковриго, National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kyiv, Ukraine, 03056

Ph.D., professor
Automation of heat-and-power engineering processes department

Тарас Григорович Баган, National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kyiv, Ukraine, 03056

senior Lecturer
Automation of heat-and-power engineering processes department

Олександр Сергійович Бунке, National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kyiv, Ukraine, 03056

PhD student, assistant
Automation of heat-and-power engineering processes department

References

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Published

2013-06-20

How to Cite

Ковриго, Ю. М., Баган, Т. Г., & Бунке, О. С. (2013). Methods to ensure stability of control systems based on pi and pid controllers. Eastern-European Journal of Enterprise Technologies, 3(3(63), 58–63. https://doi.org/10.15587/1729-4061.2013.14740

Issue

Vol. 3 No. 3(63) (2013): Control systems

Section

Control systems

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Copyright (c) 2014 Юрій Михайлович Ковриго, Тарас Григорович Баган, Олександр Сергійович Бунке

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