Vibration Control of a Flexible Beam with Input Saturation

In the previous works, the constraint of the input actuator is ignored in the control design. However, in the actual control engineering, the completely linear system does not exist, and almost all the systems have the input constraints due to the limitation of the actuators or the inherent physical constraints of the systems. In the implementation of the flexible beam system with active control, the limitations modeled as nonlinear saturation characteristics exist in the control input, such as the finite voltage which hydraulic motors can achieve, the finite capacity of the pump, and so on [1]. The saturation characteristic can make the system unstable and degrade the performance of the system. Therefore, the effect of the input saturation characteristic should be taken into consideration for control design.

[1]  Anuradha M. Annaswamy,et al.  Adaptive Control in the Presence of Input Constraints , 1993, 1993 American Control Conference.

[2]  Martin Guay,et al.  Adaptive Model Predictive Control for Constrained Nonlinear Systems , 2008 .

[3]  Ali Saberi,et al.  Low-and-high gain design technique for linear systems subject to input saturation-a direct method , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[4]  Ö. Morgül.  Stabilization and disturbance rejection for the wave equation , 1998, IEEE Trans. Autom. Control..

[5]  S. P. Kárason,et al.  Adaptive Control in the Presence of Input Constraints , 1993, American Control Conference.

[6]  Bijnan Bandyopadhyay,et al.  Frequency-Shaped Sliding Mode Control Using Output Sampled Measurements , 2009, IEEE Transactions on Industrial Electronics.

[7]  Jing Zhou,et al.  Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance , 2011, IEEE Transactions on Automatic Control.

[8]  Changyun Wen,et al.  Adaptive Backstepping Control of Uncertain Systems: Nonsmooth Nonlinearities, Interactions or Time-Variations , 2008 .

[9]  Matthew C. Turner,et al.  Antiwindup for stable linear systems with input saturation: an LMI-based synthesis , 2003, IEEE Trans. Autom. Control..

[10]  Shuzhi Sam Ge,et al.  Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints , 2011, Autom..

[11]  T. C. Manjunath,et al.  VIBRATION CONTROL OF A SMART STRUCTURE USING PERIODIC OUTPUT FEEDBACK TECHNIQUE , 2008 .