Conference Proceedings

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

Luis Cuevas, Dragan Nesic, Chris Manzie

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

Abstract

Estimation of physical variables of nonlinear systems with two-time scales is a hard task to address. Whilst nonlinear systems exhibiting a singularly perturbed structure are common in engineering applications, current observer design results apply only to a specific class of plants and observers. We consider a broader class of plants and observers to generalise existing results on observer design for slow states of nonlinear singularly perturbed systems. Under reasonable assumptions, it is shown that the estimation error can be made semi-globally practically asymptotically stable in the singular perturbation parameter. This subsequently leads to appropriate conditions for the observer desig..

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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.