Computation of H ∞  controllers for infinite dimensional plants using numerical linear algebra1. Issue 2 (14th February 2012)

• Record Type: Journal Article
• Authors: Özbay, H.; Chu, Eric; Lin, Wen‐wei; Reichel, Lothar
• Is Part Of: Numerical linear algebra with applications. Volume 20:Issue 2(2013:Mar.)
• Page Start: 327
• Page End: 335
• Publication Date: 2012-02-14
• Subjects: Algebras, Linear -- Periodicals; 512.5
• DOI: 10.1002/nla.1809
• Languages: English
• ISSNs: 1070-5325

Abstract

<abstract abstract-type="main" id="nla1809-abs-0001"> <title>SUMMARY</title> <p>The mixed sensitivity minimization problem is revisited for a class of single‐input‐single‐output unstable infinite dimensional plants with low order weights. It is shown that <italic>H</italic>_∞ controllers can be computed from the singularity conditions of a parameterized matrix whose dimension is the same as the order of the sensitivity weight. The result is applied to the design of <italic>H</italic>_∞ controllers with integral action. Connections with the so‐called Hamiltonian approach are also established. Copyright © 2012 John Wiley &amp; Sons, Ltd.</p> </abstract>