Pommier-Budinger, Valérie and Janat, Yaman and Lanusse, Patrick and Oustaloup, Alain Fractional robust control of ligthly damped systems. (2006) In: IEEE conf. IECON 2006, 07-10 Nov 2006, Paris, France .
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Official URL: http://www.iecon06.iut-amiens.fr/
The article proposes a method to design a robust controller ensuring the damping ratio of a closed-loop control. The method uses a contour para-meterized by the damping ratio in the Nichols plane and the complex non-integer (or fractional)differentiation to compute a transfer function whose open-loop Nichols locus tangents this contour, thus ensuring dynamic performance. The proposed method is applied to a flexible structure (a clamped-free beam with piezoelectric ceramics). The aims of the control loop are to decrease the vibrations and to ensure the damping ratio of the controlled system.
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