OPTIMAL-CONTROL OF RIGID-BODY ANGULAR VELOCITY WITH QUADRATIC COST

Authors
TSIOTRAS P CORLESS M ROTEA M
Citation
P. Tsiotras et al., OPTIMAL-CONTROL OF RIGID-BODY ANGULAR VELOCITY WITH QUADRATIC COST, Journal of optimization theory and applications, 96(3), 1998, pp. 507-532
Citations number
19
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
96
Issue
3
Year of publication
1998
Pages
507 - 532
Database
ISI
SICI code
0022-3239(1998)96:3<507:OORAVW>2.0.ZU;2-9
Abstract
In this paper, we consider the problem of obtaining optimal controller s which minimize a quadratic cost function for the rotational motion o f a rigid body. We are not concerned with the attitude of the body and consider only the evolution of the angular velocity as described by t he Euler equations. We obtain conditions which guarantee the existence of linear stabilizing optimal and suboptimal controllers. These contr ollers have a very simple structure.