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Robust disturbance rejection for uncertain fractional-order systems. (English) Zbl 1426.93193
Summary: This paper describes a disturbance rejection scheme that adopts equivalent-input-disturbance (EID) approach for uncertain fractional-order (FO) systems. An EID estimator that contains an FO observer is designed to actively compensate for the disturbances and process modeling uncertainties without requiring their prior knowledge. Under the construction of the FO control system, a robust stability condition and the parameters of the controller are derived using a linear matrix inequality based method. Finally, numerical and practical examples are illustrated to demonstrate the validity and superiority of the method.

MSC:
93C73 Perturbations in control/observation systems
34A08 Fractional ordinary differential equations and fractional differential inclusions
93B07 Observability
93D09 Robust stability
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