Title :
Krylov-based minimization for optimal H2 model reduction
Author :
Beattie, Christopher A. ; Gugercin, Serkan
Author_Institution :
Virginia Tech, Blacksburg
Abstract :
We present an approach to model reduction for linear dynamical systems that is numerically stable, computationally tractable even for very large order systems, produces a sequence of monotone decreasing H 2 error norms, and (under modest hypotheses) is globally convergent to a reduced order model that is guaranteed to satisfy first-order optimality conditions with respect to H 2 error.
Keywords :
large-scale systems; linear systems; minimisation; optimal control; reduced order systems; Krylov-based minimization; first-order optimality conditions; linear dynamical systems; optimal H2 model reduction; very large order systems; Argon; Equations; Error correction; Hydrogen; Interpolation; Minimization methods; Optimal control; Reduced order systems; Transfer functions; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434939