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Solution of the problem of synthesis of the main contour oftheadaptive controlsystem for unstableand deterministic chaotic processes with m-inputs and n-outputs in the «Hyperbolic umbilic» catastrophe class

M. A. Beysenbi, L.N. Gumilyov Eurasian National University,Department of System Analysis and Management, Nur-Sultan, Kazakhstan, A. A. Maimurynova, L.N. Gumilyov Eurasian National University,Department of System Analysis and Management, Nur-Sultan, Kazakhstan
2022 Bulletin of the National Engineering Academy of the Republic of Kazakhstan  

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An urgent problem in the conditions of uncertainty of the parameters of the control object and external influences, for the control of unstable and deterministic chaotic processes, is the use of adaptation methods. In this case, the reference model with the desired dynamics and the main control loop of the adaptive system are constructed in the catastrophe class "hyperbolic umbilic", and the aperiodic robust stability of the reference model with the desired dynamics and the main control loop of
more » ... the self-organizing adaptive system with an increased potential for robust stability is studied by the gradient-velocity method of the vector function Lyapunov.
doi:10.47533/2020.1606-146x.182 fatcat:pcsxrjw64ba6djsj2d75ieqbcm
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M. A. Beysenbi, L.N. Gumilyov Eurasian National University,Department of System Analysis and Management, Nur-Sultan, Kazakhstan, A. A. Maimurynova, L.N. Gumilyov Eurasian National University,Department of System Analysis and Management, Nur-Sultan, Kazakhstan. "Solution of the problem of synthesis of the main contour oftheadaptive controlsystem for unstableand deterministic chaotic processes with m-inputs and n-outputs in the «Hyperbolic umbilic» catastrophe class." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 85.3 (2022) 99-109