Extensions to generalized LQG and H_∞ multivariable controllers

A. CASAVOLA Dipartimento di Sistemi ed Informatica, Universita' di Firenze, Via di S. Marta, 3-50139, Firenze, Italy. Phone: Tel: +(39) 55 4796258 Fax: Tel: +(39) 55 4796258

M. J. GRIMBLE Industrial Control Center, University of Strathclyde, Marland House, 50 George Street, Glasgow, G1 1QE, U.K. Phone: Tel: +(44) (0)141 5524400 Fax: Tel: +(44) (0)141 5524400

E. MOSCA Dipartimento di Sistemi ed Informatica, Universita' di Firenze, Via di S. Marta, 3-50139, Firenze, Italy. Phone: Tel: +(39) 55 4796258 Fax: Tel: +(39) 55 4796258

Abstract

A particular form of the YJBK parametrization is used to address the generalized H_∞ control problem. It consists of using, as an intermediate stabilizing controller, the solution of an underlying generalized LQG control problem. This provides a direct link between the two solutions. In fact, when the YJBK free parameter falls to zero the two controllers become identical.

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Extensions to generalized LQG and H∞ multivariable controllers

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Extensions to generalized LQG and H_∞ multivariable controllers