Minimum H-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games

I. Yaesh*, U. Shaked

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

20 Scopus citations

Abstract

A solution is derived for the H-optimization problem that arises in multivariable optimal discrete-time regulation when the controller has full access to the state vector. Two different approaches to the solution of the problem are presented. The first, which is more direct, minimizes the H-norm of the transfer function matrix from the input disturbance signal to a linear combination of the states and the plant input. The second approach applies known results from the theory of difference games. It is found that the solution by the first approach yields a constant state feedback controller whose gain matrix is identical to the one used by the minimizer in the corresponding difference game.

Original languageEnglish
Pages (from-to)942-947
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
StatePublished - 1989
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA
Duration: 13 Dec 198915 Dec 1989

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