Abstract
We compare the LQR control for a long-but-finite string of 2 x 2 MIMO systems with the LQR control for the corresponding infinite-dimensional spatially invariant system. We provide analytical and numerical examples where these are different and we investigate the cause. We also provide sufficient conditions for the LQR solutions to be similar as the length of the string increases. This work extends to the 2 x 2 MIMO systems part of the analysis presented in recent papers for the scalar case.
| Original language | English |
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| Title of host publication | 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) |
| Place of Publication | NEW YORK |
| Publisher | IEEE (The Institute of Electrical and Electronics Engineers) |
| Pages | 25-30 |
| Number of pages | 6 |
| ISBN (Print) | 978-1-4244-7746-3 |
| Publication status | Published - 2010 |
| Event | 49th IEEE Conference on Decision and Control (CDC) - , United States Duration: 15-Dec-2010 → 17-Dec-2010 |
Other
| Other | 49th IEEE Conference on Decision and Control (CDC) |
|---|---|
| Country/Territory | United States |
| Period | 15/12/2010 → 17/12/2010 |
Keywords
- BLOCK TOEPLITZ MATRICES