Abstract
A controller which minimises the $H_2$ norm of the closed loop transfer function for a linear time invariant plant, subject to an output disturbance decoupling constraint is found. The problem formulation results in an optimization over a parameter $Q(s)$ which is constrained to be a diagonal transfer matrix. The solution method relies on an $H_2$ isometric isomorphism between transfer matrices and transfer vectors.
Information
Published: 1 January 1999
First available in Project Euclid: 18 November 2014
zbMATH: 1193.93115
Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.