Real-time optimal control of a special distributed parameter system

Autor:	F. M. Kirillova, D. S. Kuzmenkov, R. Gabasov
Rok vydání:	2014
Předmět:	Computational Mathematics Linear programming Fundamental matrix (linear differential equation) Distributed parameter system Control theory Linear-quadratic regulator Separation principle Optimal control Linear-quadratic-Gaussian control Mathematics
Zdroj:	Computational Mathematics and Mathematical Physics. 54:1765-1775
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s0965542514120100
Popis:	The problem of constructing positional solutions under the real-time optimal control of a parabolic system is considered. A method for finding an approximate solution of the problem is justified. According to the method, the problem is reduced to the optimal control problem for a large dynamical ordinary differential system, which is solved by applying a dynamical version of the dual linear programming method. The fundamental matrix of the homogeneous part of the system is quasi-decomposed to save computation time at the iterations of the method. An optimal controller is described whereby the current optimal feedback values (positional solution) are constructed in real time. Numerical results are presented for the control of thermal processes in a rod.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::508071e3db3866b9315f97e56441f6a5 https://doi.org/10.1134/s0965542514120100 Zobrazit plný text záznamu Full text from SpringerLink