IDENTIFICATION OF PIEZOACTUATOR PARAMETERS

The paper presents a version of technical implementation of automated installation and its performance algorithms for determining the piezoactuator parameters. The evaluation was carried out by a linear regression form of transfer function. The first approximations were used as the derivatives. The known parameters of the piezoactuator were used to analyze identification procedure results and determine the object parameters. A stepwise action was applied to the input in the first method. In this case, it is necessary to perform measurements with a frequency more than 200 kHz to ensure an error less than 1%. The paper deals with the problems related to making measurements in real time mode and to processing large amounts of data. The feature of the piezoactuator operation was used to improve the quality of the procedure – its ability to direct acceleration measurement. Also, a pulse width modulated signal with a variable duty cycle was formed to obtain a more informative output signal. The conclusion was drawn that the application of the least-squares method in conjunction with the pulse-width input action and the usage of the accelerometer makes it possible to obtain results with a small error in the estimation even when operating at sampling frequencies near 20 kHz. The embedded System Identification Toolbox enables accurate determination of a model on 20 kHz frequency, technically realizable in real time mode. As a result, the variant of technical implementation of automated installation and performance algorithms were proposed. The parameters convergence was provided with an accuracy of 0.5% at measurement frequency of 20 kHz that allows for real-time operation in MATLAB Simulink Desktop Real-Time software.

1.      Panich A.E. Piezoceramic Actuators. Rostov-on-Don, Russia, SFU Publ., 2008, 159 p. (In Russian)

2.      Bobtsov A.A., Boikov V.I., Bystrov S.V., Grigor'ev V.V. Implementing Devices and Systems for Microspaces. St. Petersburg, SPbSU ITMO Publ., 2011,131 p.(In Russian)

3.      Nikol'skii A.A. New high-precision electric drives with piezo-compensators for machines, mechanisms and devices. Elektrotekhnika,1993, no. 1, pp. 27–31.(In Russian)

4.      LivingstonJ.A., KemnerC.A., DamC.Q., DavisJ.R., ClemensL.C. Testing apparatus for a multilayer piezoelectric actuator. Patent US5301558, 1994.

5.      Ljung L. System Identification: Theory for the User. 2^nd ed. New Jersey, Prentice-Hall, 1999, 409 p.

6.      Bystrov S.V., Bobtsov A.A., Grigor'ev V.V., Boikov V.I., Bushuev A.B. Device for testing a piezoelectric drive and its components. Patent for utility model, no. 76138,2008.(In Russian)

7.      Subbotin M.I. Device for determining the frequency of the mounting resonance of piezoelectric sensors. Patent RU2176383, 2000.

8.      Nikol'skii A.A. Precise Two-Channel Servo Drives with Piezocompensators. Moscow, EnergoatomizdatPubl., 1988,160 p.(In Russian)

9.      Boikov V.I., Golovin A.A. Features of identification of piezoactuator parameters. Proc. Int. Conf. on Innovative Mechanisms for Solving Problems of Scientific Development. Syzran', Russia, 2016, part 1, pp. 9–13. (In Russian)

10.   Sastry S., Bodson M. Adaptive Control. Stability, Convergence, and Robustness. New Jersey, Prentice-Hall, 1989, 377 p.

11.   Soderstrom T.S., Stoica P.G. System Identification. New Jersey, Prentice-Hall, 1994, 612 p.

12.   Andrievskii B.R. Identification and Diagnostics of Systems [Electronic resource]. St. Petersburg, NRU ITMO Publ., 2012, 83 p.(In Russian)

13.   Aarts R.G. System Identification and Parameter Estimation. Enschede, Universiteit Twente, 1998, 103 p.

14.   Aranovskiy S., Bobtsov A., Ortega R., Pyrkin A. Performance enhancement of parameter estimators via dynamic regressor extension and mixing. IEEE Transactions on Automatic Control, 2016, vol. 62, no. 7, pp. 3546–3550. doi: 10.1109/tac.2016.2614889 

15.   Golovin A.A.Increasing power piezoactuator speed. Proc. 6^th All-Russian Congress of Young Scientists. St. Petersburg, 2017, pp. 56–59. (In Russian)

16.   Golovin A.A., Lutsenko D.S., Boikov V.I. Methods for increasing the speed of control of power piezo actuators. Proc. Congress of Young Scientists [Electronic resource]. St. Petersburg, ITMO University Publ., 2017. (In Russian)

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