Stability and causality constraints on frequency response coefficients applied for non-parametric H&lt;sub&gt;2&lt;/sub&gt; and H&lt;sub&gt;&amp;#x221E;&lt;/sub&gt; control synthesis

Hamer, A. J.; Weiland, S.; Steinbuch, M Maarten; Angelis, GZ Georgo

doi:10.1109/cdc.2008.4739015

Cited by 5 publications

(9 citation statements)

References 14 publications

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“…The presented work can be seen as an extension and generalization of the work presented in [5]. Specific details about generalizations and extensions compared to results presented previously are given in the text.…”

mentioning

confidence: 78%

“…The presented approach can be considered as an extension of the work presented in [5] by proposing a method to compute of a gradient towards the stabilizing controller parameter region as will be described in Section IV. Remark 1: • As a practical rule of thumb, it is sufficient to chose the number of test points p * much larger than the expected order of Q(s).…”

Section: Closed-loop Stability Conditionmentioning

confidence: 99%

“…We refer to the convergence proof presented in [5] which proves that (5) can be well approximated by a finite series approximation under the assumption that…”

Section: Thain49mentioning

confidence: 99%

“…Remark 2: To enable practical evaluation of φ based on experimental data, the integrals required to compute the Q * δ 2 2 and Q 2 2 have to be approximated by a series approximation. Via the approach described in [5], the integrals can be approximated by discrete sums.…”

Section: Gradient To Stabilizing Regionmentioning

confidence: 99%

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Model-free norm-based fixed structure controller synthesis

Hamer

Weiland

Steinbuch

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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Model-free norm-based fixed structure controller synthesisCitation for published version (APA): Hamer, den, A. J., Weiland, S., & Steinbuch, M. (2009). Model-free norm-based fixed structure controller synthesis. In Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference (CDC / CCC), 16-18 december 2009, Shanghai, China (pp. 4030-4035 Please check the document version of this publication:• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement: www.tue.nl/taverne Take down policy If you believe that this document breaches copyright please contact us at:openaccess@tue.nl providing details and we will investigate your claim. Abstract-This paper presents a method to perform modelfree fixed structure controller synthesis. Based on frequency response data of the plant, the parameters of a predefined controller structure are optimized directly with respect to closedloop performance specifications. As a result, no parametric plant model is required such that time consuming iterative identification-synthesis procedures can be omitted.A framework is presented to both assure stability and optimize closed-loop performance based on frequency response data. Furthermore, based upon these results, a cost-function is formulated that can be exploited to converge from a destabilizing-to the stabilizing controller parameter region. Both the stability guarantee and performance optimization procedures are combined in one optimization algorithm that is illustrated by means of an example. I. INTRODUCTIONApplication of model-based optimal control synthesis methodologies require a low order parametric model of the plant. When only input-output data of a system is available, the most appr...

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mentioning

confidence: 78%

Section: Closed-loop Stability Conditionmentioning

confidence: 99%

“…We refer to the convergence proof presented in [5] which proves that (5) can be well approximated by a finite series approximation under the assumption that…”

Section: Thain49mentioning

confidence: 99%

Section: Gradient To Stabilizing Regionmentioning

confidence: 99%

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Model-free norm-based fixed structure controller synthesis

Hamer

Weiland

Steinbuch

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

Self Cite

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“…This reduces slightly the conservatism compared to the previously mentioned constant bound proposed by [10]. These results have been applied to a controller design method presented in [12]. The main drawback of the approach is that non-parametric controllers are obtained.…”

Section: Introductionmentioning

confidence: 92%

Robust controller design by convex optimization based on finite frequency samples of spectral models

Galdos

Karimi

Longchamp

2010

49th IEEE Conference on Decision and Control (CDC)

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Abstract-Some frequency-domain controller design problems are solved using a finite number of frequency samples. Consequently, the performance and stability conditions are not guaranteed for the frequencies between the frequency samples. In this paper, all possible interpolants between the frequency samples of the open-loop system are bounded using convex constraints on a linearly parameterized controller. These constraints are integrated in a method which solves an H∞ control problem based on spectral models by convex optimization. The method is applied to a simulation example. It is shown how the added conservatism is reduced while the number of frequency samples is increased.

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Towards automated loop-shaping in controller parameter space

Aladagli

Hamer

Steinbuch

et al. 2010

Proceedings of the 2010 American Control Conference

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DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement:

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Stability and causality constraints on frequency response coefficients applied for non-parametric H<sub>2</sub> and H<sub>∞</sub> control synthesis

Cited by 5 publications

References 14 publications

Model-free norm-based fixed structure controller synthesis

Model-free norm-based fixed structure controller synthesis

Robust controller design by convex optimization based on finite frequency samples of spectral models

Towards automated loop-shaping in controller parameter space

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