Title :
A comparison between LQR control for a long string of 2 × 2 MIMO systems and LQR control of the infinite spatially invariant version
Author :
Iftime, Orest V.
Author_Institution :
Dept. of Econ., Econ. & Finance, Univ. of Groningen, Groningen, Netherlands
Abstract :
We compare the LQR control for a long-but-finite string of 2 × 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 × 2 MIMO systems part of the analysis presented in recent papers for the scalar case.
Keywords :
MIMO systems; Toeplitz matrices; approximation theory; multidimensional systems; LQR control; MIMO system; Toeplitz approximant; infinite dimensional spatially invariant system; long-but-finite string; Control systems; Convergence; Linear systems; MIMO; Materials; Mathematical model; Riccati equations;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5716969
