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Robustness Guarantees for Linear Control Designs with an Estimated Nonlinear Model Error Model
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2004 (English)In: International Journal of Robust and Nonlinear Control, ISSN 1049-8923, E-ISSN 1099-1239, Vol. 14, no 11, 959-970 p.Article in journal (Refereed) Published
Abstract [en]

Much attention in robust identification and control has been focused on linear low order models approximating high order linear systems. We consider the more realistic situation with a linear model approximating a nonlinear system. We describe how a nonlinear model error model can be developed, that allows a complete linear design process that results in a closed loop system with performance robustness guarantees (in terms of gain from disturbance to output) against the nonlinear error. Clearly the design can be successful only if the linear model is a reasonably good approximation of the system. A particular aspect of the design process is to define a workable definition of 'practical stability' for robust control design, with possible non-linear model errors. We use affine norms for that purpose.

Place, publisher, year, edition, pages
John Wiley & Sons, 2004. Vol. 14, no 11, 959-970 p.
Keyword [en]
Identification, Nonlinear, Control, Model error model, Robustness
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-22502DOI: 10.1002/rnc.926Local ID: 1752OAI: oai:DiVA.org:liu-22502DiVA: diva2:242815
Funder
Swedish Research Council
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-07-17

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Glad, TorkelHelmersson, AndersLjung, Lennart

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