Multivariable multirate sampled-data systems: State-space description, transfer characteristics, and Nyquist criterion
- 1 February 1986
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 31 (2), 145-154
- https://doi.org/10.1109/tac.1986.1104205
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
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