Abstract
In the framework of disturbance rejection (DR) control, the paper proposes a generalized‐disturbance rejection (GDR) control with proportional‐integral (PI) observer for vibration suppression of smart structures under any unknown continuous disturbances. In the proposed GDR‐PI control, a refined state space model is first constructed, and a generalized disturbance including the disturbance influence matrices, unknown physical disturbances, and state variables is defined. In the closed loop of GDR‐PI control, physical disturbances can be counteracted indirectly by feeding back estimated generalized disturbances. By this means, the GDR‐PI control remedies most of the defects in conventional DR control and has excellent performances especially in the following situations: (i) the disturbances are completely unknown; (ii) the number of sensor signals is less than the number of disturbances; (iii) the unknown disturbances vary fast. Finally, the GDR‐PI control is validated and compared with H∞ state feedback control and conventional DR control available in the literature for vibration suppression of smart beams.
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