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

P. G. Voulgaris

doi:10.1109/acc.2001.946401

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

P. G. Voulgaris

Aerospace Engineering

Research output: Contribution to journal › Conference article › peer-review

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 language	English (US)
Pages (from-to)	3128-3133
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	4
DOIs	https://doi.org/10.1109/acc.2001.946401
State	Published - 2001
Event	2001 American Control Conference - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001

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Electrical and Electronic Engineering

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10.1109/acc.2001.946401

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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.",

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AB - 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.

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

Abstract

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