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Implications of the degree of controllability of controlled plants in the sense of LQR optimal control

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  • Yaping Xia
  • Minghui Yin
  • Yun Zou

Abstract

In this paper, the relationship between the degree of controllability (DOC) of controlled plants and the corresponding quadratic optimal performance index in LQR control is investigated for the electro-hydraulic synchronising servo control systems and wind turbine systems, respectively. It is shown that for these two types of systems, the higher the DOC of a controlled plant is, the better the quadratic optimal performance index is. It implies that in some LQR controller designs, the measure of the DOC of a controlled plant can be used as an index for the optimisation of adjustable plant parameters, by which the plant can be controlled more effectively.

Suggested Citation

  • Yaping Xia & Minghui Yin & Yun Zou, 2018. "Implications of the degree of controllability of controlled plants in the sense of LQR optimal control," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 358-370, January.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:358-370
    DOI: 10.1080/00207721.2017.1408869
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