Title :
Optimal rejection of bounded persistent disturbances in periodic systems
Author :
Dahleh, Munther A. ; Voulgaris, Petros G. ; Valavani, Lena S.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
Abstract :
The problem of optimal rejection of bounded persistent disturbances is solved in the case of linear discrete-time periodic systems. The solution consists of solving an equivalent time-invariant standard l1 optimization problem subject to an additional constraint. This constraint ensures the causality of the resulting periodic controller. By duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l1 problem
Keywords :
discrete time systems; duality (mathematics); linear programming; linear systems; optimal control; optimisation; time-varying systems; bounded persistent disturbances; causality; duality theory; linear discrete-time periodic systems; linear programming; optimal control; optimal disturbance rejection; resulting periodic controller; time varying systems; time-invariant standard l1 optimization problem; Constraint optimization; Control systems; Discrete transforms; Linear programming; Optimal control; Robustness; Space technology; Time invariant systems; Time varying systems;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.204034
