# New Robust Controller Synthesis Optimization Methodology under Six Sigma Constraint

### J. Frechard, D. Knittel, J. Renaud

#### Abstract

Industrial systems usually contain uncertain parameters. These uncertainties come from lack of knowledge of physical phenomena or from evaluation difficulties. The stochastic behaviour of these parameters have to be taken into account during the design process of industrial systems. To tackle with these uncertainties, the Design for Multi-objective Six Sigma method is used. This method permits to fix six sigma constraint and it is applied on the synthesis of web tension controller for an industrial large-scale roll-to-roll system. The key idea is to synthesize the controller in frequency domain by Hinfinity synthesis. Then the six sigma constraint is fixed on output web tension in time domain. The robust controller synthesis is then compared with standard Hinfinity synthesis approach. This paper presents for the first time a controller synthesis including six sigma constraints.

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#### Paper Citation

#### in Harvard Style

Frechard J., Knittel D. and Renaud J. (2012). **New Robust Controller Synthesis Optimization Methodology under Six Sigma Constraint** . In *Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-8565-21-1, pages 244-249. DOI: 10.5220/0004045602440249

#### in Bibtex Style

@conference{icinco12,

author={J. Frechard and D. Knittel and J. Renaud},

title={New Robust Controller Synthesis Optimization Methodology under Six Sigma Constraint},

booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2012},

pages={244-249},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004045602440249},

isbn={978-989-8565-21-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - New Robust Controller Synthesis Optimization Methodology under Six Sigma Constraint

SN - 978-989-8565-21-1

AU - Frechard J.

AU - Knittel D.

AU - Renaud J.

PY - 2012

SP - 244

EP - 249

DO - 10.5220/0004045602440249