Stabilization of linear dynamical systems by optimal controls of linear-quadratic problems

Authors
Gabasov, R Lubochkin, AV
Citation
R. Gabasov et Av. Lubochkin, Stabilization of linear dynamical systems by optimal controls of linear-quadratic problems, J APPL MA R, 62(4), 1998, pp. 519-527
Citations number
16
Categorie Soggetti
Mechanical Engineering
Journal title
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS
ISSN journal
00218928 → ACNP
Volume
62
Issue
4
Year of publication
1998
Pages
519 - 527
Database
ISI
SICI code
0021-8928(1998)62:4<519:SOLDSB>2.0.ZU;2-N
Abstract
A method of obtaining a bounded feedback which stabilizes a linear dynamica l system is described. The attainment of a positional solution of a special auxiliary linear-quadratic problem of optimal control using an optimal reg ulator is the basis of the method. The results are illustrated for the well -known problem of the stabilization of a pendulum in the upper unstable pos ition by means of inertial controls. (C) 1998 Elsevier Science Ltd. All rig hts reserved.