DocumentCode :
424990
Title :
Properties of a new parameterization for the control of constrained systems with disturbances
Author :
Kerrigan, Eric C. ; Maciejowski, Jan M.
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Volume :
5
fYear :
2004
fDate :
June 30 2004-July 2 2004
Firstpage :
4669
Abstract :
This paper is concerned with the application and analysis of the previous result in the literature on robust optimization to the control of linear discrete-time systems, which are subject to unknown state disturbances and mixed constraints on the state and input. By parameterizing the control input sequence as an affine function of the disturbance sequence, it can be shown that a certain class of robust finite horizon control problems can be solved in a computationally tractable fashion, provided the constraint and the disturbance sets are polytopic. The main contribution of the paper is to show that this parameterization includes the class of affine time-varying state feedback control laws. The paper also shows how this parameterization can be used to efficiently synthesize receding horizon control laws that are robustly invariant.
Keywords :
control system analysis; discrete time systems; linear systems; robust control; state feedback; time-varying systems; affine time-varying control law; constrained systems; discrete-time system; linear system; robust finite horizon control problems; state feedback control law; unknown state disturbances;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2004. Proceedings of the 2004
Conference_Location :
Boston, MA, USA
ISSN :
0743-1619
Print_ISBN :
0-7803-8335-4
Type :
conf
Filename :
1384049
Link To Document :
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