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This research concerns the active vibration control of a three-story model structural frame by using piezoceramics smart materials, in particular lead zirconate titanate (PZT), in the form of patches. These PZT patches are surface-bonded on the structure and function as actuators and sensors. To assist the control design, system identification is first performed. To excite the frame for identification purposes, a sweep sinusoidal input is used to drive the PZT actuator patches, and then a sixth-order state space model with a fit of 90% is identified to represent the dynamics of the first three modes of the model structural frame. A full-state linear quadratic regulator (LQR) controller is designed using the identified model. To achieve the full state feedback, an observer is designed based on the identified model. The LQR controller along with the observer is implemented to actively control the vibration of the model frame structures and is experimentally verified effective in the simultaneous suppression of vibrations at the first three modes.

This study presents results of multimodal vibration suppression of a smart flexible cantilever beam with piezoceramic actuator and sensor by using a pole placement controller. Piezoceramic PZT (lead zirconate titanate) patches are surface-bonded on the beam and function as actuator and sensor. Nonparametric identification for the dynamics of the first three modes is carried out. From the nonparametric model, a parametric model is identified to assist the control system design. The identified model is used for state estimation and development of control algorithm. A linear pole placement controller is designed and simulated using the identified model. Experimental results demonstrate the effectiveness of observer-based multimodal active vibration control of the structure using piezoceramic smart materials.

This paper represents active multimodal vibration control of a flexible beam structure with piezoceramic (PZT) actuators and sensors using the loop shaping method. With surface-bonded PZT patch actuators and sensors, the flexible beam has both sensing and actuating capacities. Due to its flat auto spectrum in the specified frequency range, the Schroeder wave is used as an excitation signal for the non-parametric identification of the flexible beam structure. The identified open loop model is then used for the closed loop design by using the loop shaping method based on the extended sensitivity charts. A loop shaping compensator is designed to achieve multimodal vibration suppression. Numerical results showed a reduction of 8 decibels for the first mode and 12–14 decibels for the second and third modes. Experimental results closely match the simulation results. Furthermore, the results of loop shaping method are compared with those of the methods of linear quadratic regulator and pole-placement control, which are designed based on state space models via the parametric identification of the flexible beam. Comparisons show that the loop shaping method is easier to design since a parametric identification is not required and requires less control effort while maintaining the effectiveness in vibration suppression.

This paper investigates multimodal vibration control of a three-story model structural frame by using surface bonded PZT (lead zirconate titanate) type piezoceramic patches. Piezoceramic is one of the smart materials. Complete control systems design is synthesized on the model frame using system identification and a pole placement controller. A time domain based subspace system identification is performed to identify the first three modes of the structural frame. A fit of 90% is achieved in identification results. A full-state pole placement feedback controller is designed based on the identified model. To implement the full-state feedback controller, the design of a state estimator is also performed. Experimental results demonstrate the effectiveness of multimodal active control of the smart frame structure using pole placement control.