Approximate Optimal Controller for Weakly Nonlinear Evolutionary Equation of Parabolic Type

Approximate Optimal Controller for Weakly Nonlinear Evolutionary Equation of Parabolic Type

We consider the optimal control problem for solutions of the parabolic equation with the right-hand side of the form ε F (y), where ε > 0 is a small parameter, with the coercive objective functional and bounded control. We use the formula of the optimal controller of the unperturbed problem and s...

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Veröffentlicht in:Cybernetics and systems analysis 2021-11, Vol.57 (6), p.883-888
Hauptverfasser: Gorban, N. V., Kapustian, O. A., Kapustyan, O. V.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Coercivity
Control
Controllers
Mathematics
Mathematics and Statistics
Optimal control
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Zusammenfassung:We consider the optimal control problem for solutions of the parabolic equation with the right-hand side of the form ε F (y), where ε > 0 is a small parameter, with the coercive objective functional and bounded control. We use the formula of the optimal controller of the unperturbed problem and substantiate the form of the approximate controller with switching for the original problem.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-021-00414-1