Title :
Controlled invariance and feedback laws
Author :
d´Alessandro, P. ; De Santis, E.
Author_Institution :
Dept. of Math., Third Univ. of Rome, Rome, Italy
fDate :
7/1/2001 12:00:00 AM
Abstract :
We consider controlled invariance for cones, translated cones, polyhedra and various special polyhedral structures. For any polyhedron, if controlled invariance occurs, then all and nothing but the admissible controls can be obtained by an inequative feedback controller. For each special polyhedral structure we compare this feedback controller against piecewise affine, linear and affine feedback controllers
Keywords :
discrete time systems; invariance; linear systems; matrix algebra; state feedback; admissible controls; affine feedback controller; controlled invariance; feedback laws; linear controller; piecewise affine controller; polyhedra; polyhedral structures; translated cones; Adaptive control; Approximation algorithms; Control systems; Density functional theory; Equations; Feedback; Robust control; Stochastic processes; Time varying systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
