DocumentCode :
809357
Title :
Controllability and stabilizability of sampled systems
Author :
Hautus, M.L.J.
Author_Institution :
Technological University, Eindhoven, Netherlands
Volume :
17
Issue :
4
fYear :
1972
fDate :
8/1/1972 12:00:00 AM
Firstpage :
528
Lastpage :
531
Abstract :
A definition of a general type of sampling mechanism at the input and the output of a continuous-time system is given. The coefficients of the resulting discrete-time system are computed and conditions for controllability and stabilizability are derived. Also, the problem is considered whether the system can be made controllable by a suitable linear connection of the sampling mechanism and the continuous-time system. Finally, it is shown that if the continuous-time system is controllable and an arbitrary sampling time is given, then a sampling mechanism can be constructed such that the sampled system is controllable. Similar results are obtained with stabilizability instead of controllability.
Keywords :
Controllability; Linear systems, time-invariant discrete-time; Stability; Automatic control; Control systems; Controllability; Cost function; Eigenvalues and eigenfunctions; Limit-cycles; NASA; Observability; Sampling methods; Space vehicles;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100045
Filename :
1100045
Link To Document :
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