DocumentCode :
1068002
Title :
Constrained Control of Positive Systems with Delays
Author :
Liu, Xingwen
Author_Institution :
Sch. of Autom. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Volume :
54
Issue :
7
fYear :
2009
fDate :
7/1/2009 12:00:00 AM
Firstpage :
1596
Lastpage :
1600
Abstract :
This technical note addresses controller design for continuous-time delayed linear systems. The control is under positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. Bounded control is also considered, further requiring that the trajectory of the closed-loop system is bounded by a prescribed boundary, if the initial condition is bounded by the same boundary. The contribution lies in three aspects. First, some necessary and sufficient conditions are presented for the existence of controllers satisfying the positivity constraint. Second, a necessary and sufficient condition is established, determining whether the trajectory of a positive system can be bounded by a prescribed boundary, provided that the initial condition is bounded by the same boundary. Third, a sufficient condition is presented for bounded control, and it is shown to be also necessary if asymptotic stability is not required.
Keywords :
closed loop systems; continuous time systems; control system synthesis; delays; linear systems; bounded control; closed-loop systems; continuous-time systems; controller design; delayed linear systems; positive systems constrained control; positivity constraint; Asymptotic stability; Control systems; Delay lines; Delay systems; Distillation equipment; Linear programming; Linear systems; Reservoirs; Sufficient conditions; Temperature; Bounded control; constrained control; linear programming; positive system;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2009.2017961
Filename :
5071168
Link To Document :
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