A grid-based algorithmfor constructing attainability sets with improved boundary approximation

DOI10.47475/2500-0101-2021-16101zbMath1471.93031OpenAlexW3161225278MaRDI QIDQ5153879

A. R. Matviichuk, A. A. Zimovets

Publication date: 1 October 2021

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj221

zbMATH Keywords

optimal controlattainability setgrid-based methodTORARTAC

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Numerical methods in optimal control (49M99)

Uses Software

• Rtac

Cites Work

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• On solving approach problems for control systems
• A method for constructing a resolving control in an approach problem based on attraction to the feasibility set
• A comparison study of nonlinear control techniques for the RTAC system
• Dynamics of spinup through resonance
• Stabilization and tracking via output feedback for the nonlinear benchmark system
• Approximations of attainability sets and of integral funnels of differential inclusions
• Measurement-scheduled control for the RTAC problem: an LMI approach
• A parallel algorithm for constructing approximate attainable sets of nonlinear control systems

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