Open loop control of piezoelectric tube transducer

• Autorzy: Stefanski F. , Minorowicz B.

Identyfikatory

DOI

10.2478/amtm-2018-0004

• Języki publikacji: EN

Abstrakty

EN

This paper is focused on the open loop control of a piezoelectric tube actuator, hindered by a strong hysteresis. The actuator was distinguished with 22 % hysteresis, which hinders the positioning of piezoelectric actuator. One of the possible ways to solve this problem is application of an accurate analytical inversed model of the hysteresis in the control loop. In this paper generalized Prandtl-Ishlinskii model was used for both modeling and open loop control of the piezoelectric actuator. Achieved modeling error does not exceed max. 2.34 % of the whole range of tube deflection. Finally, the inverse hysteresis model was applied to the control line of the tube. For the same input signal (damped sine 0.2 Hz) as for the model estimation the positioning error was max. 4.6 % of the tube deflection. Additionally, for a verification reason three different complex harmonic functions were applied. For the verification functions, still a good positioning was obtained with positioning error of max. 4.56 %, 6.75 % and 5.6% of the tube deflection.

Słowa kluczowe

EN

piezoelectric actuator; open-loop control; hysteresis; Generalized Prandtl-Ishlinski model hysteresis compensation

PL

piezoelektryczny siłownik; histereza; Uogólniony model Prandtla-Ishlińskiego; kompensacja histerezy

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Archives of Mechanical Technology and Materials
• Rocznik: 2018
• Tom: Vol. 38
• Strony: 23--28
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Stefanski F.

• Faculty of Mechanical Engineering and Management, Institute of Mechanical Technology, Poznan University of Technology, Piotrowo Street 3, Poznan 60-965, Poland

autor

Minorowicz B.

• Faculty of Mechanical Engineering and Management, Institute of Mechanical Technology, Poznan University of Technology, Piotrowo Street 3, Poznan 60-965, Poland

Bibliografia

• [1] Shan Y, Leang KK. Accounting for hysteresis in repetitive control design: Nanopositioning example. Automatica 2012;48:1751-8.
• [2] Gu G-Y, Zhu L-M, Su C-Y, Ding H, Fatikow S. Modeling and Control of Piezo-Actuated Nanopositioning Stages: A Survey 2014:1-20.
• [3] Moheimani SR, Fleming AJ. Piezoelectric transducers for vibration control and damping. Springer Science & Business Media; 2006.
• [4] Sędziak D. Basic investigations of electrohydraulic servovalve with piezo-bender element. Arch TechnolMaszAutom 2006;26:185-90.
• [5] Sangiah DK, Plummer AR, Bowen CR, Guerrier P. A novel piezohydraulic aerospace servovalve. Part 1: Design and modelling. Proc Inst MechEng Part J Syst Control Eng 2013;227:371-89.
• [6] Murrenhoff H. Trends in valve development. Inst Fluid Power Drives Controls IFAS 2003.
• [7] Ottman GK, Hofmann HF, Bhatt AC, Lesieutre GA. Adaptive piezoelectric energy harvesting circuit for wireless remote power supply. Power Electron IEEE Trans On 2002;17:669-76.
• [8] Priya S, Inman DJ. Energy harvesting technologies. vol. 21. Springer; 2009.
• [9] Janocha H. Actuators. Springer; 2004.
• [10] Janocha H. Adaptronics and smart structures. Springer; 2007.
• [11] Worden K, Haywood J. Smart technologies. World Scientific; 2003.
• [12] Hu H, Georgiou HMS, Ben-Mrad R. Enhancement of tracking ability in piezoceramic actuators subject to dynamic excitation conditions. IEEEASME Trans Mechatron 2005;10:230-9.
• [13] Su C-Y, Stepanenko Y, Svoboda J, Leung T-P. Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis. Autom Control IEEE Trans On 2000;45:2427-32.
• [14] Al Janaideh M, Rakheja S, Su C-Y. Experimental characterization and modeling of rate-dependent hysteresis of a piezoceramic actuator. Mechatronics 2009;19:656-70.
• [15] Al Janaideh M, Su C-Y, Rakheja S. Development of the rate-dependent Prandtl-Ishlinskii model for smart actuators. Smart Mater Struct 2008;17:035026.
• [16] Kuhnen K, Krejci P. Compensation of complex hysteresis and creep effects in piezoelectrically actuated systems - a new Preisach modeling approach. Autom Control IEEE Trans On 2009;54:537-50.
• [17] Al Janaideh M, et al. Generalized Prandtl-Ishlinskii hysteresis model: Hysteresis modeling and its inverse for compensation in smart actuators. W Decision and Control, 2008. CDC 2008. 47th IEEE Conference on. IEEE, 2008. p. 5182-5187.
• [18] Al Janaideh M, et al. Invers egeneralized asymmetric Prandtl-Ishlinskii model for compensation of hysteresis nonlinearities in smart actuators. W Networking, Sensing and Control, 2009. ICNSC’09. International Conference on. IEEE, 2009. p. 834-839.
• [19] Al Janaideh M, SU A, Chun-Yi, Rakheja S. Compensation of symmetric and asymmetric hysteresis nonlinearities in smart actuators with a generalized Prandtl-Ishlinskii presentation. W Advanced Intelligent Mechatronics (AIM), 2010 IEEE/ASME International Conference on. IEEE, 2010. p. 890-895.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).