Synthesis of nonlinear multiply control system based on geometric approach summary

  • O. I. Shiryayeva Казахский национальный исследовательский технический университет имени К.И. Сатпаева, Республика Казахстан, г. Алматы
  • L. K. Abzhanova Казахский национальный исследовательский технический университет имени К.И. Сатпаева, Республика Казахстан, г. Алматы

Abstract

This article focuses on the synthesis of control for nonlinear multivariable energy facility on the basis of the geometric approach. For complex energy management systems the subject of decentralization procedure applied. Based on the methodology for the geometric approach decomposed system derived the condition of having a linear equivalent of nonlinear systems. The basis of the conditions of the procedure is proof of the formation of nonlinear multiply connected systems of vector fields. To do this, the original system appears to decompose in the canonical form Brunovsky. Synthesis based on geometric approach nonlinear control systems multiply realized by obtaining linear equivalents conditions involutiveness not vanishing operators Lie at the equilibrium point and its surroundings, are linearly independent operators Lie at the equilibrium point and its surroundings.

References

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Published
2018-07-18
How to Cite
SHIRYAYEVA, O. I.; ABZHANOVA, L. K.. Synthesis of nonlinear multiply control system based on geometric approach summary. Journal of Mathematics, Mechanics and Computer Science, [S.l.], v. 92, n. 4, p. 109-117, july 2018. ISSN 1563-0277. Available at: <http://bm.kaznu.kz/index.php/kaznu/article/view/459>. Date accessed: 19 oct. 2018.