An Algorithm for Optimizing a Nonlinear System, Based on the Behavior of the Hamiltonian on the Optimal Trajectory

Autor:	Valery N. Afanas'ev, Artem N. Burtsev, Anna P. Presnova
Rok vydání:	2021
Předmět:	Nonlinear system Exponential stability Mathematical model Control and Systems Engineering Computer science Control system Interval (mathematics) Linear complex structure Algorithm Hamiltonian (control theory) Parametric statistics
Zdroj:	IFAC-PapersOnLine. 54:359-364
ISSN:	2405-8963
Popis:	The article deals with the problem of control synthesis for nonlinear dynamical systems represented by mathematical models with a linear structure and state-dependent parameters (SDC-model). The value that the Hamiltonian takes for suboptimal control synthesized using the SDC-model for an unlimited control time interval is established. A new parametric control algorithm is developed that uses the behavior of the Hamiltonian under the appropriate control and state of the system. In general, a condition is obtained under which this algorithm provides asymptotic stability of the original control system. The effectiveness of the proposed algorithm was tested using mathematical modeling methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ac41f49035f76363adbe6d4b2d9df3c3 https://doi.org/10.1016/j.ifacol.2021.11.103 Zobrazit plný text záznamu