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AUTOMATICA
2010

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

9 years 7 months ago
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.
Ruth F. Curtain, Orest V. Iftime, Hans Zwart
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2010
Where AUTOMATICA
Authors Ruth F. Curtain, Orest V. Iftime, Hans Zwart
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