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Phase and gain control policies for robust active vibration control of flexible structures

Abstract : The interest of this paper is to develop a general and systematic robust control methodology for active vibration control of flexible structures. For this purpose, first phase and gain control policies are proposed to impose qualitative frequency-dependent requirements on the controller to consider a complete set of control objectives. Then the proposed control methodology is developed by employing phase and gain control policies in the dynamic output feedback H∞ control: according to the set of control objectives, phase and gain control policies incorporate necessary weighting functions and determine them in a rational and systematic way; on the other hand, with the appropriate weighting functions efficient H∞ control algorithms can automatically realize phase and gain control policies and generate a satisfactory H∞ controller. The proposed control methodology can be used for both SISO and MIMO systems with collocated or non-collocated sensors and actuators. In this paper, it is validated on a non-collocated piezoelectric cantilever beam. Both numerical simulations and experimental results demonstrate the effectiveness of the proposed control methodology.
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Kai Zhang, Gérard Scorletti, Mohamed Ichchou, F. Mieyeville. Phase and gain control policies for robust active vibration control of flexible structures. Smart Materials and Structures, IOP Publishing, 2013, pp.075025. ⟨10.1088/0964-1726/22/7/075025⟩. ⟨hal-00839744⟩

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