Hi: does somebody know some good references about the "model reduction and control"! Regards!

Look at the following book:

P. Holmes, JL Lumley, and G. Berkooz, Turbulence, coherent structures, dynamical systems and symmetry, Cambridge, Cambridge University Press, 1996.

In this book there is a chapter on proper orthogonal decomposition and reducing order method, and another chapter on projection method, some materials are based this paper: G Berkooz, P Holmes, and JL Lumley. "The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows", Annu. Rev. Fluid Mech. 1993 , Vol. 25: 539-575.

also see this paper http://www.ias.ac.in/currsci/apr102000/tutorial2.pdf