title: Optimization approach to the design of nonlinear control system controllers
metadata.name: dc.contributor.author
metadata.value: Zavadskiy, Sergey V.
metadata.name: dc.contributor.author
metadata.value: Ovsyannikov, Dmitrii A.
metadata.name: dc.contributor.author
metadata.value: Melnikov, Dmitrii D.
metadata.name: dc.date.accessioned
metadata.value: 2023-06-15T11:02:41Z
metadata.name: dc.date.accessioned
metadata.value: 2023-06-15T16:16:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-06-15T11:02:41Z
metadata.name: dc.date.available
metadata.value: 2023-06-15T16:16:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.name: dc.identifier.citation
metadata.value: Zavadskiy S. V., Ovsyannikov D. A., Melnikov D. D. Optimization approach to the design of nonlinear control system controllers. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 1, pp. 109–119.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.109
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41578
metadata.name: dc.description.abstract
metadata.value: The optimization approach is applied to the synthesis and optimization of nonlinear real-time feedback optimal control system of a certain Maglev platform. To optimize the nonlinear control law, the integral functional criteria is minimized, which evaluates the quality of the dynamics of not one trajectory, but an ensemble of nonlinear trajectories of the system. The considered ensemble of trajectories covers the entire area of the engineering gap between the platform and the guide rails. In this area the magnetic forces provide highly nonlinear effects due to the considered design features of the object. At the same time, it is required to provide the stabilization within the entire engineering gap. It makes this statement to be a multi-input nonlinear control problem. The components of the feedback control law vector have a polynomial form of the state-space variables. As a result of computational optimization of trajectories ensemble, a class of Pareto-optimal polynomial regulators is constructed for considered control object. In the presented set, each Pareto-optimal point corresponds to a specific designed controller and investigated functional criteria which evaluates the entire ensemble of perturbed nonlinear trajectories. This allows a research engineer to choose various nonlinear regulators and achieve a compromise between stabilization accuracy and energy costs.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 1
metadata.name: dc.subject
metadata.value: nonlinear system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonlinear regulators
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Maglev
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: real-time feedback
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ensemble of trajectories
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimization
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Optimization approach to the design of nonlinear control system controllers
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 16105-Текст статьи-54766-1-10-20230530.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41578/2/16105-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-54766-1-10-20230530.pdf
resources.format: Adobe PDF
resources.size: 567,13 kB