Optimal digital control of an uncertain parameter 2nd order plant

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DOI:

https://doi.org/10.5604/01.3001.0012.0889

Keywords:

digital control, optimal control, uncertain parameter systems

Abstract

In the paper a construction of a control system for 2nd order, uncertain-parameter plant is discussed. The considered model of the plant is described by state space equation or by equivalent transfer function and it describes a huge class of real control plants, for example – electric drives or oriented PV systems. As a controller the digital proportional (P) controller was employed. The control system is going to be implemented at the microcontroller platform. Results are by the example depicted.

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Athans M, Falb PL. Optimal Control. An introduction to Theory and Its Applications, McGraw Hill 1966.   Google Scholar

Isermann R. Digital Control Systems, vol. 1 Springer, 1989.   Google Scholar

Isermann R. Digital Control Systems, vol. 2 Springer, 1992.   Google Scholar

Mitkowski W. Stabilization of dynamical systems, WNT, 1991 (in Polish).   Google Scholar

Mitkowski W, Oprzędkiewicz K. A sample time assign for a discrete interval parabolic system with the two-dimensional uncertain parameter space, Systems Science, 2004, 30, 1, 43–50.   Google Scholar

Mitkowski W, Oprzędkiewicz K. A sample time optimization problem in a digital control system, System modeling and optimization 23rd IFIP TC 7 conference: Cracow, Poland, July 23–27, 2007: revised selected papers, eds. Adam Korytowski [et al.], Berlin ; Heidelberg; New York 2009.   Google Scholar

Mitkowski W, Oprzędkiewicz K. A discrete minimal Energy control for 2›nd order uncertain-parameter plant, XVII State Conference of Automatics: Kielce–Cedzyna, 19–22.06.2011 r. Kielce University of Technology, 2011, (in Polish).   Google Scholar

Mitkowski W, Oprzędkiewicz K. A minimum-energy controller for 2nd order uncertain parameter plant, Automatyka: półrocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica w Krakowie, 2011, 15, 355–363.   Google Scholar

Oprzędkiewicz K. Practical control of dynamic systems with point spectrum and interval parameters, AGH UST Monograph, 2008, No. 186.   Google Scholar

Teneta J, Zaczyk M, Oprzędkiewicz K, Więckowski Ł, Głowacz W. Parameters identification of an oriented PV system, PAR Pomiary Automatyka Robotyka, 2012, 9, 74–79.   Google Scholar

The geometric interpretation of the cost function

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Published

2018-06-28

How to Cite

Oprzędkiewicz, K. (2018). Optimal digital control of an uncertain parameter 2nd order plant. Science, Technology and Innovation, 2(1), 59–63. https://doi.org/10.5604/01.3001.0012.0889

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Original articles