Modal actuation for high bandwidth nano-positioning

In high speed AFMs the vertical axis of the sample positioning stage requires high bandwidth feedback control. In these systems the dynamics of the piezoelectric actuator, its support structure and load play a dominant role in the design of the feedback loop. System performance can be increased by avoiding the excitation of resonant modes of the piezoelectric actuator by modal actuation. In this approach, the piezoelectric actuator is modified to render modes close to the controller bandwidth uncontrollable. Due to its static hardware implementation robustness issues may emerge due to varying loads used for AFM imaging. This paper focusses on performance robustness of modal filters due to load variation.

[1]  L.Y. Pao,et al.  A Tutorial on the Mechanisms, Dynamics, and Control of Atomic Force Microscopes , 2007, 2007 American Control Conference.

[2]  S. O. Reza Moheimani,et al.  Sensor-less Vibration Suppression and Scan Compensation for Piezoelectric Tube Nanopositioners , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[3]  Sanjoy K. Mitter,et al.  A Theory of Modal Control , 1968, Inf. Control..

[4]  L. Meirovitch,et al.  CONTROL OF SELF-ADJOINT DISTRIBUTED-PARAMETER SYSTEMS. , 1980 .

[5]  M. Balas Active control of flexible systems , 1978 .

[6]  Gerber,et al.  Atomic Force Microscope , 2020, Definitions.

[7]  Jacqueline A. Cutroni,et al.  Rigid design of fast scanning probe microscopes using finite element analysis. , 2004, Ultramicroscopy.

[8]  Srinivasa M. Salapaka,et al.  Design methodologies for robust nano-positioning , 2005, IEEE Transactions on Control Systems Technology.

[9]  André Preumont,et al.  Spatial filters in structural control , 2003 .

[10]  André Preumont,et al.  Distributed sensors with piezoelectric films in design of spatial filters for structural control , 2005 .

[11]  Reinder Banning,et al.  Modeling piezoelectric actuators , 2000 .

[12]  Francis C. Moon,et al.  Modal Sensors/Actuators , 1990 .

[13]  F. Allgöwer,et al.  A new control strategy for high-speed atomic force microscopy , 2003 .

[14]  Karl Johan Åström,et al.  Design and Modeling of a High-Speed AFM-Scanner , 2007, IEEE Transactions on Control Systems Technology.

[15]  H. Baruh,et al.  On the implementation of modal filters for control of structures , 1984 .

[16]  David W. Miller,et al.  Distributed Sensors as Spatial Filters in Active Structural Control , 1994 .

[17]  D.Y. Abramovitch,et al.  Semi-automatic tuning of PID gains for Atomic Force Microscopes , 2008, 2008 American Control Conference.

[18]  L. Meirovitch,et al.  Fundamentals of Vibrations , 2000 .

[19]  L. Meirovitch,et al.  On the problem of observation spillover in self-adjoint distributed-parameter systems , 1983 .

[20]  Daniel Y. Abramovitch,et al.  Semi‐automatic tuning of PID gains for atomic force microscopes , 2009 .