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

• Record Type: Journal Article
• Authors: Özbay, H.
• Other Names: Chu Eric guestEditor.; Lin Wen‐wei guestEditor.; Reichel Lothar guestEditor.
• 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: mixed sensitivity -- H ∞ control -- infinite dimensional systems -- numerical linear algebra; Algebras, Linear -- Periodicals; 512.5
• DOI: 10.1002/nla.1809
• Languages: English
• ISSNs: 1070-5325

Abstract

SUMMARY: 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 H ∞ 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 H ∞ controllers with integral action. Connections with the so‐called Hamiltonian approach are also established. Copyright © 2012 John Wiley & Sons, Ltd.