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Robust control of a class of LPV systems : a combined evolutionary-LMI approach
Publikationstyp
Conference Paper
Date Issued
2006
Sprache
English
Author(s)
Institut
Start Page
778
End Page
783
Article Number
4064747
Citation
Proceedings of the 2006 IEEE Conference on Computer Aided Control Systems Design, CACSD : 4 - 6 Oct. 2006, Munich, Germany. - Piscataway, NJ, 2006. - 4064747 778-783 (2006)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IEEE
ISBN of container
978-0-7803-9795-8
978-0-7803-9796-5
0-7803-9797-5
978-0-7803-9798-9
In this paper, recent analysis results on robust stability of linear parameter-varying (LPV) systems are used to develop a synthesis procedure for robust controller design that takes known bounds on the rate of parameter variation into account. This is achieved by first replacing robust stability conditions which take the form of linear matrix inequalities with an algebraic Riccati equation that is parameterized by a quadratic separator. The synthesis problem is then solved with a DK-iteration type of approach, where alternatingly the controller and the quadratic separator are fixed. In the K-step a combination of Riccati solver and evolutionary search is used to find the controller, and in the D-step an LMI problem is solved for the separator. An advantage of the new method is that dynamic order and structure of the controller (e.g. decentralized) can be freely chosen. A numerical design example is provided to illustrate the practicality and numerical efficiency of the proposed method.
DDC Class
600: Technik
620: Ingenieurwissenschaften