Stability and robustness conditions using frequency dependent half planes

K Jacobsson; LLH Andrew; A Tang

Conference Proceedings

Stability and robustness conditions using frequency dependent half planes

K Jacobsson, LLH Andrew, A Tang

Proceedings of the IEEE Conference on Decision and Control | IEEE | Published : 2009

DOI: 10.1109/CDC.2009.5399668

Abstract

This paper presents a sufficient condition that establishes closed loop stability for linear time invariant dynamical systems with transfer functions that are analytic in the open right half complex plane. The condition is suitable for analyzing a large class of highly complex, possibly inter-connected, systems. The result is based on bounding Nyquist curves by using frequency dependent half planes. It provides (usually non-trivial) robustness guarantees for the provably stable systems and generalizes to the multidimensional case using matrix field of values. Concrete examples illustrate the applications of the condition. From our condition, it is easy to derive a relaxed version of the clas..

View full abstract

University of Melbourne Researchers

Lachlan Andrew Author

Related Projects (1)

Efficient and Fair Traffic Control for a Multi-Service Internet

Australia relies very heavily on its telecommunications infrastructure due to its geographic dispersion. For the same reason, it cannot ..

Grants

Awarded by ARO MURI

Awarded by Australian Research Council

Awarded by DURIP

Awarded by NSF

Funding Acknowledgements

The authors thank Professors Steven Low, Richard Murray and John Doyle for helpful discussions, and the anonymous reviewers for feedback. This work was supported by ARO MURI W911NF-08-1-0233, by Australian Research Council grant DP0985322 and DURIP grant 53773MARIP, and by the NSF grant CCF-0835706.