Functional interval observer design for multivariable linear parameter-varying systems

Akremi, Rihab; Lamouchi, Rihab; Amairi, Messaoud; Dinh, Thach Ngoc; Raïssi, Tarek

doi:10.1016/j.ejcon.2023.100794

Cited by 9 publications

(1 citation statement)

References 34 publications

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“…On the other hand, two subjects in control theory, that are strongly connected to each other, are observer design and stability analysis [10][11][12][13][14]. A novel observer design strategy, for instance, has been put out in [15] for a class of uncertain Nonlinear Systems (NSs) with sampled-delayed output.…”

Section: Introductionmentioning

confidence: 99%

Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

et al. 2023

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In this study, an unknown input observer is proposed for a class of nonlinear GPFOSs. For this class of systems, both full-order and reduced-order observers have been established. The investigated system satisfies the one-sided Lipschitz nonlinear condition, which is an improvement of the classic Lipschitz condition. Sufficient conditions have been proposed to ensure the error dynamics’ Mittag–Leffler stability. The value of this work lies in the fact that, to the best of the authors’ knowledge, this is the first research work that investigates the issue of Observer Design (OD) for GPFOSs. To exemplify the usefulness of the suggested observers, an illustrative numerical example is suggested.

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