DOI 10.17586/0021-3454-2016-59-7-534-541
UDC 62-50:681.5
ENSURING PIEZOELECTRIC DRIVE ROBUSTNESS USING THE METHOD OF CONTROLLED RELATIVE INTERVAL FREQUENCY
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor
O. V. Slita
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor
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Abstract. The problem of ensuring robustness of precision positioning system with piezoelectric drive is considered for the case of the drive model with interval parameters. The proposed approach uses the concept of controlled relative interval frequency. It is shown that the problem can be solved with median modal control supplemented by a control over the relative interval state matrix of the designed system. An example of positioning system design with the use of proposed method is presented.
Keywords: piezoelectric drive, interval parameters, robustness, relative interval, median modal control
References:
References:
-
Slita O., Nikiforov V., Ushakov A. Upravlenie v usloviyakh neopredelennosti: neadaptivnye i adaptvnye algoritmy (Management under Uncertainty: Non-adaptive and Adaptive Algorithms), Saarbrucken, LAP LAMBERT AcademicPublishing, 2012, 283 р. (in Russ.)
-
Nikol'skiy A.A. Tochnye dvukhkanal'nye sledyashchie elektroprivody s p'ezokompensatorami (Precision Two-Channel Servo Drives with Piezoсompensator), Moscow, 1988, 160 р. (in Russ.)
-
Dzhagupov R.G., Erofeev A.A. P'ezoelektronnye ustroystva vychislitel'noy tekhniki, sistem kontrolya i upravleniya (Piezoelectronic Devices of Computer Engineering, Control and Management Systems), St. Petersburg, 1994, 607 р. (in Russ.)
-
Bashash S., Jalili N. IEEE/ASME Trans. on Mechatronics, 2009, no. 1(14), pp. 11–20.
-
Ghafarirad H., Rezaei S.M., Zareinejad M., Hamdi M. Trans. of the Institute of Measurement and Control, 2012, no. 8(34), pp. 956–965.
-
Li Y. and Xu O. IEEE Trans. on Control System Technology, 2010, no. 4(18), pp. 798–810. DOI:10.1109/TCST.2009.2028878.
-
Liaw H.C., Shirinzadeh B. IEEE Trans. on Industrial Electronics, 2011, pp. 1406–1415.
-
Grigor'ev V.V., Drozdov V.N., Lavrent'ev V.V., Ushakov A.V. Sintez diskretnykh regulyatorov pri pomoshchi EVM (Synthesis of Discrete Regulators by Means of the Computer), Leningrad, 1983, 245 р. (in Russ.)
-
Slita O.V., Ushakov A.V. Journal of Computer and Systems Sciences International, 2010, no. 6, pp. 16–22. (in Russ.)
-
Ushakov A., Sudarchikov S. Sledyashchiy monitoring deformatsiy ustroystv prostranstvennogo nablyudeniya: razrabotka algoritmov upravleniya (Tracking Deformation Monitoring Devices of the Spatial Monitoring: Development of Control Algorithms), Saarbrucken, LAP LAMBERT AcademicPublishing, 2011, 236 р. (in Russ.)
-
Ackermann J. Robust Control Systems with Uncertain Physical Parameters, London, Springer-Verlag, 1993.
-
Kalmykov S.A., Shokin B.L., Yuldashev Z.Kh. Metody interval'nogo analiza (Methods of Interval Analysis), Novosibirsk, 1986, 222 р. (in Russ.)
-
Moore R.E., Kearfott R.B., Cloud M.J. Introduction to interval analysis, Society for Industrial and Applied Mathematics, 2009, 235 p.
-
Ushakov A.V. Izv. vuzov. Priborostroenie, 2000, no. 3(43), pp. 8–16. (in Russ.)
-
Akunov T.A., Slita O.V., Sudarchikov S.A., Ushakov A.V. Journal of Computer and Systems Sciences International, 2013, no. 4, pp. 36–42. (in Russ.)
-
Slita O.V., Ushakov A.V. Proc. of ICUMT, St. Petersburg, 2014, рp. 529–533.
-
Bystrov S.V., Nikolaev P.V., Sabinin Yu.A., Smirnov A.V. Izv. vuzov USSR. Priborostroenie, 1988, no. 6(31), pp. 19–24. (in Russ.)
- Bystrov S.V., Erashov V.I., Sabinin Yu.A., Chezhin M.S. Dvigateli mikroperemeshcheniy (Engines of Micromovements), Leningrad, 1988, 20 р. (in Russ.)