Conference Proceedings

Revisit of LQG Control-A New Paradigm with Recovered Robustness

Xiang Chen, Kemin Zhou, Ying Tan

2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | IEEE | Published : 2019

Abstract

In this paper, a revisit of the classical LQG control is performed with a new design paradigm which is motivated by the well-known Youla-Kučera parameterization of all stabilizing controllers. In particular, it is shown that this new paradigm renders the exactly same LQG control performance if there is no modeling mismatch for the plant, but provides automatic robust recovery of the LQG performance when the modeling error is present. It is also noted that the recovery is driven by the 'error size' of the modeling mismatch, resulting in much less conservativeness of the control performance compared with the traditional mixed {{\mathcal{H}}-2}/{{\mathcal{H}}-\infty } design which is conducted ..

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University of Melbourne Researchers

Grants

Awarded by National Natural Science Foundation of China-KEY Program


Funding Acknowledgements

This work is supported in part by NSERC Discovery Grant in Canada and by the "Special Funding for Top Talents" of Shandong Province and the National Natural Science Foundation of China-KEY Program under Grant 61433011.