A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the the LQR control for the corresponding infinite strings. We give analytic and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases. Key words: Linear systems, infinite-dimensional systems, LQR control, spatially invariant systems, spatially distributed systems.

• Type: Journal
• Year: 2010
• Where: AUTOMATICA
• Authors: Ruth F. Curtain, Orest V. Iftime, Hans Zwart
• Keywords: AUTOMATICA 2010, Corresponding Infinite Strings, LQR Control, Systems