Relationship between coupling and the controllability Grammian in co-design problems

Diane L. Peters; Panos Y. Papalambros; A. Galip Ulsoy

doi:10.1109/ACC.2010.5531087

Relationship between coupling and the controllability Grammian in co-design problems

Diane L. Peters, Panos Y. Papalambros, A. Galip Ulsoy

Kettering University

Research output: Contribution to conference › Presentation

Abstract

Optimization of smart products requires optimizing the design of both the artifact and its controller. The existence of coupling between these problems currently cannot be established until they are solved. If coupling is expected to be present, then the problem is often solved as a simultaneous optimization. In this paper, it is shown that in several classical control problem formulations the presence of coupling can be established a priori by evaluating derivatives of the controllability Grammian. The concepts developed are demonstrated on a simple positioning gantry example.

Original language	American English
DOIs	https://doi.org/10.1109/ACC.2010.5531087
State	Published - Jul 29 2010
Event	American Control Conference (ACC) 2010 - Duration: Jul 29 2010 → …

Conference

Conference	American Control Conference (ACC) 2010
Period	7/29/10 → …

Disciplines

Mechanical Engineering

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10.1109/ACC.2010.5531087License: Unspecified

Cite this

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abstract = " Optimization of smart products requires optimizing the design of both the artifact and its controller. The existence of coupling between these problems currently cannot be established until they are solved. If coupling is expected to be present, then the problem is often solved as a simultaneous optimization. In this paper, it is shown that in several classical control problem formulations the presence of coupling can be established a priori by evaluating derivatives of the controllability Grammian. The concepts developed are demonstrated on a simple positioning gantry example. ",

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AB - Optimization of smart products requires optimizing the design of both the artifact and its controller. The existence of coupling between these problems currently cannot be established until they are solved. If coupling is expected to be present, then the problem is often solved as a simultaneous optimization. In this paper, it is shown that in several classical control problem formulations the presence of coupling can be established a priori by evaluating derivatives of the controllability Grammian. The concepts developed are demonstrated on a simple positioning gantry example.

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Relationship between coupling and the controllability Grammian in co-design problems

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