Summary: A Randomized approach to the H 2 /H#
Control Problem via Q­parameterization
Kenneth R. Horspool
The University of New Mexico, Albuquerque, NM 87131­1356
horspool@eece.unm.edu
R. Scott Erwin
Air Force Research Laboratory, Kirtland AFB, NM 87117­5776
erwinr@plk.af.mil
Chaouki Abdallah and Peter Dorato
The University of New Mexico, Albuquerque, NM 87131­1356
{chaouki, peter}@eece.unm.edu
March 21, 2003
Abstract
In this paper we show that the mixed H 2 /H# control problem can be e#ciently
solved using randomized algorithms. Q­parameterization provides a mechanism to
search over all stabilizing controllers, and thus gives us the ability to search for H 2
minimizing controllers, while still providing stability robustness. Finally, we are able
to show that we can get results comparable to a more traditional approach such as
gradient search, but in addition, we can solve more complex problems. With very little
modification, we are able to deal with multiple objectives, plant uncertainty, and fixed

Source: Abdallah, Chaouki T- Electrical and Computer Engineering Department, University of New Mexico

Collections: Engineering