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  • Ескіз
    Документ
    Inverse Dynamic Models in Chaotic Systems Identification and Control Problems
    (2018) Lyubchyk, Leonid; Grinberg, Galina
    Inverse dynamic models approach for chaotic system synchronization in the presence of uncertain parameters is considered. The problem is identifying and compensating unknown state-dependent parametric disturbance describing an unmodelled dynamics that generates chaotic motion. Based on the method of inverse model control, disturbance observers and compensators are synthesized. A control law is proposed that ensures the stabilization of chaotic system movement along master reference trajectory. The results of computational simulation of controlled Rösller attractor synchronization are also presented.
  • Ескіз
    Документ
    Selective invariant multivariable control system design based on inverse model approach
    (Consulting Company Consilium Sp. z o.o. Warsaw, Poland, 2015) Lyubchyk, Leonid; Kostyuk, Olga
    The problem of disturbance rejection in multivariable control systems is considered. It has been shown that different two-degree-of-freedom control structures used for immeasurable disturbance estimation and compensation may be treated as a particular case of a general Inverse Model Control approach. The decomposition of the problem into the separate disturbance estimation and compensation is suggested. Moreover the connection between inverse model design problems and unknown input observer theory has been established in order to give a practical way to inverse model parameterization and design. The properties of closed-loop selective invariant control system with model-based controllers have been also investigated with the aim of attainable accuracy estimation.