Title :
Necessary conditions for fixed, finite-order l2-optimal control of discrete-time evolution systems
Author :
BARB, Florin Dan ; De koning, Willein L.
Author_Institution :
Fac. of Tech. Math. & Inf., Tech. Univ. of Delft, Netherlands
Abstract :
In this paper we are concerned with the fixed, finite-order l2-optimal control of linear discrete-time evolution systems. The set of necessary conditions for the existence of the l2-optimal controller is expressed in terms of four operator equations (two modified Riccati equations and two modified Lyapunov equations) coupled by a projector having the rank given by the dimension of the compensator state
Keywords :
Lyapunov methods; discrete time systems; optimal control; compensator state dimension; fixed finite-order l2-optimal control; linear discrete-time evolution systems; modified Lyapunov equations; modified Riccati equations; Control systems; Control theory; Hilbert space; Optimal control; Process design; Riccati equations; Sections; Time varying systems;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325825
