	Control Group

University of Cambridge > Department of Engineering > Control Group > Publications > Publication

Model reduction in H2 using matrix solutions of polynomial equations

Hanzon B. and Maciejowski J.M. and Chou C.T.

March 1998
Technical Report: CUED/F-INFENG/TR.314

Abstract

A method is given for solving an optimal H_2 approximation problem for SISO linear time-invariant stable systems. The method guarantees that the global optimum is found. It is based on constructive algebra, but compared with earlier results, the method has much smaller time and memory requirements, and can therefore be applied to systems of significantly higher McMillan degree. The use of Buchberger's algorithm is avoided by writing the first-order optimality conditions in a special form, from which a Grobner basis is immediately available. The problem is converted into linear algebra by exhibiting a finite-dimensional basis for a certain space, and can then be solved by eigenvalue calculations. This approach has potential for wider application to the solution of polynomial equations. Two examples are included.

Pre-Prints

[PDF]

BibTex Entry

@TechReport{,: author = {Hanzon B. and Maciejowski J.M. and Chou C.T.},; institution = {Cambridge University Engineering Dept. TR314},; title = {Model reduction in H2 using matrix solutions of polynomial equations},; year = {1998},; month = {March},; note = {CUED/F-INFENG/TR.314}
}



© 2004 Control Group, Department of Engineering, University of Cambridge www-control-admin@eng.cam.ac.uk