A new minimum-time control law for a one-mode model of a flexible slewing structure

Author

Barbieri, Enrique ; Özguner, Ümit

Author_Institution

Dept. of Electr. Eng., Tulane Univ., New Orleans, LA, USA

Volume

38

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

142

Lastpage

146

Abstract

The construction of a minimum-time control law for a single-axis, undamped, one-mode model of a flexible slewing structure is described. The set of necessary and sufficient conditions for optimality is developed using phase-plane techniques, and is given in terms of the vibration frequencies and the rigid-body states. This effectively provides the switching hypersurface in four-dimensional space. The resulting control strategy can be implemented on line since no a priori computation of switching times is required

Keywords

aerospace control; multidimensional systems; optimal control; aerospace control; flexible slewing structure; four-dimensional space; minimum-time control law; multidimensional systems; necessary and sufficient conditions; one-mode model; optimal control; optimality; phase-plane techniques; rigid-body states; switching hypersurface; vibration frequencies; Control systems; Flexible structures; Frequency; Manipulators; Open loop systems; Optimal control; Orbital robotics; Satellite antennas; Sufficient conditions; Vibration control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.186327

Filename

186327