Title :
Switching curve deformation in a time-optimal closed-loop system
Author :
Hejmo, Wladyslaw ; Kloch, Jacenty
Author_Institution :
Inst. Elektrotechniki i Elecktroniki Politechniki Krakowskiej, Krakow, Poland
fDate :
6/1/1989 12:00:00 AM
Abstract :
The dynamics of a closed-loop system resulting from the solution of a time-optimal problem of a two-dimensional differential inclusion are discussed. It is shown that internal uncertainties (such as variations in resistances or parameter changes) cause trajectories of the closed-loop motion to (1) spiral convergently around the target and reach it in a finite time; (2) spiral divergently around the target and reach a limit curve; and (3) reach the target in a finite time in a sliding mode. Some suggestion for practical applications are given
Keywords :
closed loop systems; convergence; optimal control; closed-loop system; convergent spiral; divergent spiral; dynamics; optimal control; sliding mode; switching curve deformation; time optimal system; two-dimensional differential inclusion; Control systems; Deformable models; Electrical resistance measurement; Equations; Feedback; Motion measurement; Spirals; Trajectory; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
