Scientific and Technical Journal

ELECTROTECHNIC AND COMPUTER SYSTEMS

ISSN Print 2221-3937
ISSN Online 2221-3805
NONLINEAR QUASIOPTIMAL CONTROL OF PACKAGING SYSTEM “SEALER” DRIVE
Abstract:
Synthesis procedure of the quasi- regulator ,which largely offsetting harmful effects of backlash worm gear “sealer” motor is implemented. To find the control algorithm dynamic programming method using the concept of procedure “invariant imbedding” for  is used . At the same time as the functional to be minimized quadratic optimality criterion is selected, that meet the minimum dynamic error and energy management costs. Atfirststage the equation of Hamilton – Jacobi – Bellman using method of “static” linearization was obtained. Next, the problem of synthesis of nonlinear control has been divided into a family of problems of analytical design of linear regulators for different regions of phase space. At the final stage of the synthesis was made “stitching” of the obtained solutions and the control algorithm derived motor shaft position “sealer” is obtained. Were further investigated the dynamic characteristics of position control algorithm with synthesized and comparative analysis of the system with the classic position PI- controller have been made. Present proposals for the further development of treatments for positional controller design of electric drives.
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References
1. Abduramanov D.A., and Toropov A.V. Reguliruemyj jelektroprivod mehanizmov podachi upakovochnogo oborudovanija [Regulated Clectric Drive Feed Mechanisms of Packaging Equipment], (2008), ІATS “Upakovka”, Kiev, Ukraine, No. 6, рp. 40 – 42 (In Russian).
2. Kiel E. Drive Solutions Mechatronics for Production and Logistics, Berlin, (2008), SpringerVer-lag, 542 p.
3. Toropov A.V., and Abduramanov D.A. Osobennosti postroeniya sistem pozitsionirovaniya v upako-vochnykh avtomaticheskikh ustanovkakh na baze se-riinykh preobrazovatelei chastoty Lenze [Features of Construction Positioning Systems in Packaging Automated Installations on the Basis of Serial Frequency In-verters Lenze], (2012), Elektromehanichni ta Eenergozberigayuchi Sistemi Publ., Kiev, Ukraine, Iss. 3(19), pp. 158 – 160 (In Russian).
4. Bellman R. Metody vychisleniy: Izbrannye glavy [Computing Methods: Selected Chapters], (1993), Mockow, Russian Federation, Avtomatika i Telemehanika Publ., No. 8, рp. 3–39, No. 9, pр. 3–51, No. 10, рр. 3–43 (In Russian).
5. Tu Y. Modern theory of control [Sovremennaya Teoriya Upravleniya], (1971), Moscow, Mashinostro-enie Publ., 472 p. (In Russian).
6. Kudin V.F. K voprosu postroeniya nelineynogo regulyatora metodom dinamicheskogo program-mirovaniya [The Problem of Constructing of a Nonlinear Control by Method of Dynamic Programming], (1968), Avtomatika Zaitsev G. F. Kompensatsiya Estestven-nykh Nelineinostei Avtomaticheskikh Sistem, Akademii Nauk USSR, Kiev, Ukraine, No. 1, pp. 32 – 38 (In Russian).
7. Kudin V.F., and Kolacny J. Synthesis of Suboptimal Nonlinear Regulator by Immersion Method, (1998), J. Electrical Engineering Publ., Bratislava, Slovakia, Vol. 49, No. 1–2, pp. 11–15.
8. Zaitsev G.F., and Steklov V.K. Kompensatsiya estestvennyh nelineynostey avtomaticheskih sys-tem [Compensation Natural Nonlinearities of Automatic Systems], (1982), Moscow, Russian Federation, Energoatomizdat Publ., 95 p. (In Russian).
9. Letov A.M. Flight. Dinamika poleta i upravlenie [Dynamics and Control], (1969), Moscow, Rus-sian Federation, Nauka Publ., 359 p. (In Russian).
10. Paltov I.P. Kachestvo protsessov i sintez korrektiruyushchih ustroystv v nelineynyh av-tomaticheskih sistemah [Quality of Processes and Synthesis of Correction Devices at Nonlinear Auto-matic Systems], (1973), Moscow, Russian Federation, Nauka Publ., 584 p. (In Russian).
11. Kudin V.F. Analiticheskoe konstruirovanie nelineynyh regulyatorov s pomoshchyu metoda gar-monicheskoy linearizatsii [Analytic Design of Nonlinear Regulators Using Method of Harmonical Lin-earization] (1989), Novocherkassk, Russian Federation, Izvestiya Vysshih Uchebnyh Zavedeniy, Elek-tromehanika Publ., No. 9, pp. 60–69 (In Russian).
12. Geldner K., and Kubic S. Nelineynye sistemy upravleniya [Nonlinear Control Systems], (1987), Moscow, Russian Federation, Mir Publ., 367 p. (In Russian).
13. Krasovskii A.A. Spravochnik po teorii avtomaticheskogo upravleniya: pod redaktsiei A. A. Krasovskogo [Handbook of the Theory of Automatic Control: Edited by A. A. Krasouski], (1987), Mos-cow, Russian Federation, Nauka Publ., Gl. red. fiz.-mat. Lit, 712 p. (In Russian).
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