Abstract
Vibrations are usually caused by continuous disturbances with large amplitudes. Different from other control methods, disturbance rejection control is a potential method, which considers the unknown disturbances in the control design. To remedy the shortcomings of the existing disturbance rejection control in the vibration reduction of structures especially under high-frequency periodic disturbances, this paper aims to improve the control ability of the current disturbance rejection control for the vibration suppression of smart structures under any unknown periodic disturbances with high-order frequency or random disturbances varying fast. Afterwards, the refined disturbance rejection control is compared with the previously designed disturbance rejection control with proportional–integral observer and disturbance rejection control with generalized proportional–integral observer on both theoretical and numerical levels.
Highlights
Composite laminated thin-walled structures are widely used in aerospace and automotive engineering owing to their lightweight and relatively high stiffness
In order to improve the structural performance, composite structures are proposed to be integrated with piezoelectric materials forming smart structures
Among the linear modeling techniques for electro-mechanically coupled smart structures, there exist many approaches using solid elements[1,2,3] or plate/shell elements based on various hypotheses, e.g. classical plate hypothesis,[4,5,6] first-order shear deformation (FOSD) hypothesis,[7,8,9,10] higher-order shear
Summary
Composite laminated thin-walled structures are widely used in aerospace and automotive engineering owing to their lightweight and relatively high stiffness. DR control with PI observer has an excellent ability on the vibration suppression of smart structures under unknown disturbances with low frequency. For disturbances with higher order frequency, DR-PI control will fail to suppress vibrations, due to low dynamic performance of the observer system. This weak point was improved by Zhang et al.,[59] in which the PI observer was extended to GPI observer. Because of unknown parameters existing in matrix V of the GPI observer, a good control effect can be obtained if the assumed frequency xa is close to the actual one xd of the real disturbance, with the best result when xa 1⁄4 xd. The control gain for the dynamic part Kz is obtained by the LQR optimization method, while that for generalized disturbance is solved by specific manner, as can be found in literature.[53]
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