The classical regulation problem: its solution by optimal control methods. (English. Russian original) Zbl 1073.49026

Gabasov, R.; Kirillova, F. M.; Ruzhitskaya, E. A.

Autom. Remote Control 62, No. 6, 875-885 (2001); translation from Avtom. Telemekh. 2001, No. 6, 18-29 (2001).

Summary: 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 stabilizing the system relative to the new equilibrium state. The results are illustrated by an example of regulation of a fourth-order dynamic system.

MSC:

49N35	Optimal feedback synthesis
93B51	Design techniques (robust design, computer-aided design, etc.)
93D15	Stabilization of systems by feedback

Keywords:

optimal control; regulation; feedback; stabilization