Conference Proceedings

Convergence of full-order observers for the slow states of a singularly perturbed system (Part II: Applications)

Luis Cuevas, Dragan Nesic, Chris Manzie

2018 Australian & New Zealand Control Conference (ANZCC 2018) | IEEE Press | Published : 2019

Abstract

Many natural and engineered systems exhibit a singularly perturbed structure where different time scales inherently lead to difficulties in the design of observers for the system. In our related work [1], we have shown that, under appropriate assumptions, an observer designed for the slow part of the system can be applied and results in semi-global practical asymptotical (SPA) stability of the estimation error. In this paper, we show that assumptions from [1] hold for two classes of plants and nonlinear observers. In fact, we show that the provided framework in [1] covers current results in the literature and also other cases that are not covered by existing results. Hence, we demonstrate th..

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Grants

Awarded by Melbourne International Research Scholarship scheme of The University of Melbourne


Funding Acknowledgements

This work was supported by the Melbourne International Research Scholarship scheme of The University of Melbourne, and by DP170104102.