Synthesis of nonlinear multiply control system based on geometric approach summary

  • О. I. Shiryayeva Kazakh National Research Technical University after K.I.Satpaev
  • L. К. Abzhanova L.K. Kazakh National Technical University after K.I. Satpayev


This article focuses on the synthesis of control for nonlinear multivariable energy facility onthe basis of the geometric approach. For complex energy management systems the subjectof decentralization procedure applied. Based on the methodology for the geometric approachdecomposed 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 multiplyconnected systems of vector fields. To do this, the original system appears to decompose inthe canonical form Brunovsky. Synthesis based on geometric approach nonlinear control systemsmultiply realized by obtaining linear equivalents conditions involutiveness not vanishing operatorsLie at the equilibrium point and its surroundings, are linearly independent operators Lie at theequilibrium point and its surroundings.


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How to Cite
SHIRYAYEVA, О. I.; ABZHANOVA L.K., L. К.. 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, nov. 2018. ISSN 1563-0277. Available at: <>. Date accessed: 24 mar. 2019.
Keywords multiply input - multiply output control system, nonlinear system, geometric approach, energy system