 Robust observer and observer-based control designs for discrete one-sided Lipschitz systems subject to uncertainties and disturbancesCuong M. Nguyen, Pubudu N. Pathirana and Hieu Trinh Applied Mathematics and Computation, 2019, vol. 353, issue C, 42-53 Abstract: In this paper, we study the robust observer design and observer-based control design problems for a class of discrete one-sided Lipschitz systems subject to uncertainties and disturbances. The nonlinearities are assumed to be one-sided Lipschitz and quadratically inner-bounded. By utilizing a new approach which is an extension of the H∞ filtering method, our robust observer design can relax some limitations in existing works. In order to derive design conditions in terms of linear matrix inequalities, several mathematical techniques are appropriately used to linearize the bilinear terms which unavoidably emerge in observer and observer-based control designs for discrete-time uncertain systems. Via a numerical example, we show that while existing works fail, our results work effectively. Keywords: Robust observer design; Robust control design; Uncertainty; Disturbance; One-sided Lipschitz condition; Linear matrix inequality (LMI) (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:353:y:2019:i:c:p:42-53 DOI: 10.1016/j.amc.2019.01.064 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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