DocumentCode :
851667
Title :
Multivariable multirate sampled-data systems: State-space description, transfer characteristics, and Nyquist criterion
Author :
Araki, Masahiro ; Yamamoto, Koichiro
Author_Institution :
Kyoto University, Yoshida, Kyoto, Japan
Volume :
31
Issue :
2
fYear :
1986
fDate :
2/1/1986 12:00:00 AM
Firstpage :
145
Lastpage :
154
Abstract :
First, a discrete-time state-space description is derived for multivariable multirate sampled-data systems. Then, the "multirate impulse modulation" (MIM) and the "symmetric-coordinate multirate impulse modulation" (SMIM) of a transfer matrix are defined and their relation to the discrete-time state-space description is clarified. Based on the above results, four stability criteria are derived. The contents of the paper will be useful to extend the modern results about continuous-time and single-rate sampled-data control systems to the multirate sampled-data case. Especially, extensions of the INA method and of the robust stability conditions will be straightforward.
Keywords :
Discrete-time systems; Nyquist stability, linear systems; Stability, linear systems; Transfer function matrices; Control systems; Digital control; Equations; Feedback; Kalman filters; Microcomputers; Pulse modulation; Robust stability; Sampling methods; Stability criteria;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104205
Filename :
1104205
Link To Document :
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