Title :
The regulator problem for linear discrete-time systems with nonsymmetrical constrained control
Author :
Benzaouia, Abdellah
Author_Institution :
Lab. d´´Autom. et d´´Etudes, Marrakech, Morocco
Abstract :
The author considers the regulator problem for linear discrete-time systems described by the equations xk+1=Axk+Buk , where uk=Fxk εΩ, and Ω is a nonsymmetrical polyhedral set. A necessary and sufficient condition ensuring that all the motions of the system emanating from the set F-1Ω remain in this set is given. The asymptotic stability of the origin is also guaranteed
Keywords :
discrete time systems; stability criteria; asymptotic stability; linear discrete-time systems; necessary and sufficient condition; nonsymmetrical constrained control; nonsymmetrical polyhedral set; regulator problem; Asymptotic stability; Control systems; Equations; Linear feedback control systems; Negative feedback; Regulators; State feedback; Sufficient conditions; Symmetric matrices; Vectors;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261705