Designing the Knowledge Base for the Intelligent Inertial Regulator Based on Quasi-optimal Synthesis of Controls Using the Combined Maximum Principle

Kostoglotov, A. A.; Lazarenko, Sergey; Agapov, Alexander A.; Lyaschenko, Zoya V.; Pavlova, Irina

doi:10.1007/978-3-030-01818-4_19

Cited by 4 publications

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“…This paper formulates the problem to construct a multi-mode control for the system (1), (2) subject to condition (3), (6) on the set of the quasi-optimal control laws obtained from the condition for the maximum of the generalized power function [10][11][12][13][14][15].…”

Section: Formulation Of the Control Problemmentioning

confidence: 99%

“…Works [10][11][12][13][14] consider an approach that allows to obtain quasi-optimal solutions to the synthesis problem based on the condition for the maximum of the generalized power function for a wide class of dynamical systems that satisfy the Hamilton-Ostrogradskii principle and, accordingly, can be represented by the Lagrange equations of the second kind.…”

Section: Introductionmentioning

confidence: 99%

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The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

et al. 2020

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A quasi-optimal control law is developed based on the condition for the maxi-mum of the generalized power function taking into account the stationarity of the Hamiltonian on the switching line for control objects that can be represented by the Lagrange equations of the second kind. The comparative analysis is carried out based on the mathematical simulation using the optimal nonlinear control laws with respect to several criteria. We found that the modes of the proposed control law provide high accuracy of approximation to the optimal performance laws and the Fuller laws, reducing energy costs for control by eliminating more frequent switching. The choice of the parameters of the developed control law makes it possible to implement a wide range of both nonlinear and linear operating modes, which allows to classify the obtained control law as multimode law.

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