Convergence of full-order observers for the slow states of a singularly perturbed system (Part II: Applications)
AuthorCuevas, L; Nesic, D; Manzie, C
Source Title2018 Australian & New Zealand Control Conference (ANZCC 2018)
AffiliationElectrical and Electronic Engineering
Document TypeConference Paper
CitationsCuevas, L., Nesic, D. & Manzie, C. (2019). Convergence of full-order observers for the slow states of a singularly perturbed system (Part II: Applications). 2018 Australian & New Zealand Control Conference (ANZCC 2018), 00, pp.352-357. IEEE Press. https://doi.org/10.1109/ANZCC.2018.8606545.
Access StatusOpen Access
ARC Grant codeARC/DP170104102
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 , 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  hold for two classes of plants and nonlinear observers. In fact, we show that the provided framework in  covers current results in the literature and also other cases that are not covered by existing results. Hence, we demonstrate that we generalise existing results in the literature.
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