A convex characterization of classes of problems in control with specific interaction and communication structures

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Abstract

We present a list of optimal disturbance rejection problems in systems in which the overall control scheme is required to have a certain structure. These structures correspond to various classes of controlled systems which include what we refer to as nested, chained, hierarchical, delayed interaction and communication, and, symmetric systems. The common thread in all of these classes is that by taking an input-output point of view we can characterized all stabilizing controllers in terms of convex constraints in the Youla-Kucera parameter. The disturbance rejection problem can therefore be casted as a convex, yet nonstandard, model matching problem. Approaches that solve this problem are presented for various optimality criteria.

Original languageEnglish (US)
Pages (from-to)3128-3133
Number of pages6
JournalProceedings of the American Control Conference
Volume4
StatePublished - Jan 1 2001
Event2001 American Control Conference - Arlington, VA, United States
Duration: Jun 25 2001Jun 27 2001

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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