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Chemical Technology, Control and Management

2020

Asymptotic stability

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Full-Text Articles in Engineering

Procedure Formalization For Constructing An Adaptive Control System With A Reference Model Based On The Lyapunov Function, Tulkin Vafoqulovich Botirov Jul 2020

Procedure Formalization For Constructing An Adaptive Control System With A Reference Model Based On The Lyapunov Function, Tulkin Vafoqulovich Botirov

Chemical Technology, Control and Management

Discusses the formalization of the procedure for constructing an adaptive control system with a reference model based on the Lyapunov function. It is shown that the asymptotic stability of the extended system of differential equations guarantees accurate tracking of the desired output signal of the model. At the same time, the expediency of analyzing the asymptotic stability of the system in extended space using the Lyapunov function is shown. The above algorithms help to stabilize the computational matrix inversion procedure and thereby increase the accuracy of estimating the adjustable parameter in an adaptive control system.


Synergetic Control Of Nonlinear Dynamic Objects, Isomiddin Siddikov, Komil Usmanov, Noilakhon Yakubova Jun 2020

Synergetic Control Of Nonlinear Dynamic Objects, Isomiddin Siddikov, Komil Usmanov, Noilakhon Yakubova

Chemical Technology, Control and Management

Considers the synthesis of effective control algorithms for a chemical reactor, which is the main one in the production of butyl alcohol. The method based on synergetic approach for transferring the apparatus from one capacity to another (specified) maintaining the required quality of the target component is proposed in order to ensure the stabilization of the concentration of target component at the outlet of the reactor under the conditions of uncertain disturbances affecting to an object. A mathematical model of the process based on a stoichiometric matrix taking into account the physicochemical properties of the process is developed. The control …