Conference Proceedings
A note on stabilizing and time-optimal controllers for discrete-time linear systems with positive controls
P De Leenheer, D Nesic, HJC Huijberts (ed.), H Nijmeijer (ed.), AJ VanDerSchaft (ed.), JMA Scherpen (ed.)
4th IFAC Symposium on Nonlinear Control Systems Design 1998 (NOLCOS'98) | IFAC | Published : 1998
Abstract
Design of stabilizing and time-optimal controllers for discrete-time linear systems with positive controls is revisited. Necessary and sufficient conditions for stabilizability of this class of systems are given. A class of stabilizing controllers is designed. We show that a stabilizing time-optimal controller exists if the system is dead-beat controllable. We show by an example that there may also exist time-optimal controllers which are not stabilizing.