An alternative to the Youla parameterization for H∞ controller design | IEEE Conference Publication | IEEE Xplore

An alternative to the Youla parameterization for H∞ controller design


Abstract:

All ℋ∞ controllers of a SISO LTI system are parameterized thanks to the relation between the Bounded Real Lemma and the Positive Real Lemma. This new parameterization sha...Show More

Abstract:

All ℋ controllers of a SISO LTI system are parameterized thanks to the relation between the Bounded Real Lemma and the Positive Real Lemma. This new parameterization shares the features of Youla parameterization, namely the convexity of ℋ norm constraints for the closed-loop transfer functions. However, by contrast to Youla parameterization, it can deal with any controller order and any controller structure, e.g. PID controllers. Moreover, it can be easily used for systems with polytopic uncertainty. For polytopic systems, the proposed parameterization provides a convex inner approximation of the set of all ℋ controllers, which can be enlarged by increasing the controller order. The effectiveness of the proposed method is shown via simulation results.
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3
Conference Location: Budapest, Hungary

References

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