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Structural and Multidisciplinary Optimization

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01-03-2015 | RESEARCH PAPER

Integrated topology and controller optimization of motion systems in the frequency domain

Authors: Gijs van der Veen, Matthijs Langelaar, Fred van Keulen

Published in: Structural and Multidisciplinary Optimization | Issue 3/2015

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Abstract

In the precision mechatronics industry the limits of current technology are expanded by a very tight integration of the design disciplines involved, such as structural mechanics and control systems technology. In this article a framework is presented which allows the simultaneous and integrated design of a structure and controller. The structure is designed using topology optimization and the objectives and constraints are related to the closed-loop control performance and defined in the frequency domain. For simple examples it is shown that this approach leads to at least as good performance as a sequential approach consisting of eigenfrequency optimization followed by controller tuning, and leads to lighter designs. The framework allows rapid development of prototype designs, which may save a number of the costly design iterations which are currently made in industrial practice. Examples are found in the semiconductor industry, microscopy, micro–electromechanical devices, medical devices and robotics.

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This occurs for instance if the frequency is chosen to be the loop gain crossover frequency ω _c, where by definition |L(j ω _c)|=1

Note that in the literature on complex function theory several alternative definitions exist.

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Title: Integrated topology and controller optimization of motion systems in the frequency domain
Authors: Gijs van der Veen
Matthijs Langelaar
Fred van Keulen
Publication date: 01-03-2015
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 3/2015
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-014-1161-4

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