The Classical Regulation Problem: Its Solution by Optimal Control Methods

Authors:
R. Gabasov;F. M. Kirillova;E. A. Ruzhitskaya
Affiliations:
Belarussian State University, Minsk, Belarus;Institute of Mathematics, Belarussian Academy of Sciences, Minsk, Belarus;Skorina State University, Gomel, Belarus
Venue:
Automation and Remote Control
Year:
2001

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Abstract

The fundamental problem of the classical regulation theory in the class of bounded control is investigated. Optimal control methods are applied to design operation algorithms for regulators, which generate in real time feedback for transferring a system from the neighborhood of one equilibrium state (steady-state motion) to the neighborhood of another state with transition process of high quality and stabilize the system relative to the new equilibrium state. The results are illustrated by an example of regulation of a fourth-order dynamic system.