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In this work, existence and design of Robust Functional Observer (RFO) for Uncertain Fractional-Order Systems with Time-Varying-Delay (UFOS-TVD) are addressed. Usually, when the considered system is under the effect of structured uncertainties, this kind of problems, referred as ℓ2-gain rejection, aims at designing a RFO minimizing a given cost function subject to ℓ2-gain rejection constraint, which...
In this paper, the problem of robust fractional-order observer (RFO) design in time and frequency domains for disturbed fractional-order system is investigated. The main results include the formulation of robust observer design problems in time and frequency domains. In the time domain, we develop a sufficient condition for the existence of a robust observer design, and its construction is based on...
We propose a simple model of full and reduced linear “Luenberger-type” fractional-order observers for commensurate linear fractional-order systems in time and frequency domains, in the case where the measurements are not affected by disturbances. The design process of observers is determined from the solution obtained in time domain, the observer gains are computed by solving Linear Matrix Inequalities...
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