Model reduction in H 2 using matrix solutions of polynomial equations ∗

@inproceedings{Hanzon1998ModelRI,
title={Model reduction in H 2 using matrix solutions of polynomial equations ∗},
author={Bernard Hanzon},
year={1998}
}

A method is given for solving an optimal H2 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… CONTINUE READING