Optimal design and control simulation of a monolithic piezoelectric microactuator with integrated sensor

This paper presents an important evolution in an optimization method, called FlexIn, developed for the optimal design of piezoelectric compliant micromechanisms. It is based on a flexible building block method that uses an evolutionary approach, to optimize a truss-like planar structure made of piezoelectric passive, active and now sensitive building blocks. The model of these blocks is established by means of a finite-element electromechanical formulation. The main contribution of this paper is to present an new control-observation-oriented criterion considered in the optimization procedure, among other conventional mechanical criteria, to optimize modal observability of the structure, for the placement of piezoactuating and piezosensing parts. In order to point out the underlying interests of this method for the design of smart structures with integrated actuators and sensors, a planar piezoelectric compliant smart micro-mechanism is optimally synthesized. Simulations of the device are finally performed illustrating the role of the observation-oriented criterion in simplifying the control of such smart structures.

[1]  B. Moore.  Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[2]  E. Jonckheere.  Principal component analysis of flexible systems--Open-loop case , 1984 .

[3]  A. Hać,et al.  Sensor And Actuator Location In Motion Control Of Flexible Structures , 1993 .

[4]  Louis Jezequel,et al.  Active modal control with piezo-electric layers optimization , 1994 .

[5]  Wodek Gawronski,et al.  Balanced Control of Flexible Structures , 1995 .

[6]  In Lee,et al.  Optimal placement of piezoelectric sensors and actuators for vibration control of a composite plate using genetic algorithms , 1999 .

[7]  F. Yuan,et al.  Diagnostic Lamb waves in an integrated piezoelectric sensor/actuator plate: analytical and experimental studies , 2001 .

[8]  Hisham Abou-Kandil,et al.  Piezoelectric actuators and sensors location for active control of flexible structures , 2001, IEEE Trans. Instrum. Meas..

[9]  M. Collet.  Shape optimization of piezoelectric sensors dealing with spill-over instability , 2001, IEEE Trans. Control. Syst. Technol..

[10]  Rajnikant V. Patel,et al.  Optimizing the performance of piezoelectric actuators for active vibration control , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[11]  Ronald S. Fearing,et al.  Development of piezoelectric bending actuators with embedded piezoelectric sensors for micromechanical flapping mechanisms , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[12]  Philippe Bidaud,et al.  A new compliant mechanism design methodology based on flexible building blocks , 2004, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[13]  P. J. Costa Branco,et al.  On the electromechanics of a piezoelectric transducer using a bimorph cantilever undergoing asymmetric sensing and actuation , 2004 .

[14]  Peng Zhang,et al.  Piezoelectric Self-Sensing Actuator for Beam Vibration Control Based on Blind Source Separation , 2007 .

[15]  Mathieu Grossard,et al.  Méthode des blocs sensitifs pour la synthèse optimale de mécanismes flexibles à mesure piézoélectrique intégrée , 2009 .

[16]  Philippe Lutz,et al.  Quasistatic displacement self-sensing method for cantilevered piezoelectric actuators. , 2009, The Review of scientific instruments.

[17]  N. Chaillet,et al.  Mechanical and Control-Oriented Design of a Monolithic Piezoelectric Microgripper Using a New Topological Optimization Method , 2009, IEEE/ASME Transactions on Mechatronics.