Scientific and Technical Journal

ELECTROTECHNIC AND COMPUTER SYSTEMS

ISSN Print 2221-3937
ISSN Online 2221-3805
OPTIMAL DIGITAL REGULATOR ADJUSTMENT FOR THE CONTROL SYSTEM WITH TYPE SECOND SERVO SYSTEM
Abstract:
The method of calculating the optimal digital controller for the control system of the second order astatyzmom. For optimality criteria proposed two options: a minimum overshoot transient response and minimum time regulation. In each case provides the maximum value of the electric overload point in the transient and the minimum value of the integral quadratic optimality criterion. The system is represented as a series of connections and set regulator part. Open-loop transfer function of the system taken as a fraction where the numerator - the gain and time constant of the system of differential component, and the denominator - square Laplace transform parameter. Nastroechnыmy parameters of the system is the gain and time constant. The dependence of parameters of a system parameter settings. It is shown that the product of two tuning parameters equal to the maximum rate of change of the output value of the system and overloading factor over point during acceleration. At the beginning of the calculation for the selected criteria of optimality defined parameters: the gain and time constant of the differential component. And then dividing the desired transfer function for a given transfer function of the system is determined by the transfer function analog controller. Further continuous transfer function regulator known method turn into discrete. Past studies on model systems in the software package MATLAB-Simulink. Examples of calculation system for your optimality criteria.
Authors:
Keywords
DOI
10.15276/etks.17.93.2015.12
References
1. Besekerskii V.A., and Popov E.P. Teoriya sistem avtomaticheskogo regulirova-niya [The theory of Automated Regulation System], (1972), Moscow, Russian Federation, Nauka, 719 p. (In Russian).
2. Batovrin A.A., Dashevskii P.G., Lebedev V.D. i dr. Tsifrovye sledyashchie sistemy sudo-voi avtomatiki [The Digital Tracking System of Automatic Vessel Machinery], (1972), Lenin-grad, Russian Federation, Sudostroenie, 445 p. (In Russian).
3. Lerner A.Ya., Rozenman E.A. Optimal'noe upravlenie [Optimal Control], (1970), Moscow, Russian Federation, Energiya, 360 p. (In Russian).
4. Gostev V.I. Sistemy upravleniya s tsifrovymi regulyatorami [Control Systems with Digital Controllers], (1990), Kiеv, Ukraine, Tekhnika, 280 p. (In Russian).
5. Krasnoproshina A.A., Repnikova N.B., Il'chenko A.A. S ravleniya s primeneniem MATLAB, Simulink, ovremennyi analiz sistem upControlSistem [The Modern Analysis of Con-trol Systems with the Usage of MATLAB, Sim-ulink, Control System], (1999), Kiеv, Ukraine, Kornіichuk, 141 p (In Russian).
6. Bobrikov S.A., and Pichugin E.D. Tsi-frovoi regulyator v sisteme upravleniya s asta-tizmom vtorogo poryadka [Digital Regulator in the Control System with Type Second Servo System], (2013), Elektrotekhnicheskie i Kom-p'yuternye Sistemy. Kiеv, Ukraine, Tekhnіka, No. 12 (88), pp. 55 – 60 (In Russian).
7. Bobrikov S.A., and Pichugin E.D. Tsifrovaya sisema upravleniya nepreryvnym dozatorom sypuchikh materialov [The Digital Control System of Bulk Material by Uninter-rupted Dosing unit], (2014), Elektrotekhnicheskie i Komp'yuternye Sistemy, Kiеv, Ukraine, Tekhnіka, No. 14 (90), pp. 7 – 13 (In Russian).
8. Bobrikov S.A., and Pichugin E.D. Preobrazovanie nepreryvnoi peredatochnoi funktsii upravlyayushchego ustroistva v diskretnuyu [Transformation of the Continuous Transfer Function into Discrete one in the Con-trol unit], (2013), Elektrotekhnicheskie i Komp'yuternye Sistemy, Kiеv, Ukraine, Tekhnіka, No. 10 (86), pp.68 – 72 (In Russian).
9. Bobrikov S.A., and Pichugin E.D. Optimal'naya nakstroika PI-regulyatora s odnoemkostnym ob"ektom [Optimal Nestorian PI-controller with Odnoimjonnym Object], (2009) Elektrotekhnicheskie i Komp'yuternye Sistemy, Kiеv, Ukraine, Tekhnіka, No. 72, pp.179 – 181 (In Russian).
10. Bobrikov S.A., Pichugin E.D. Optimal'noe tsifrovoe upravlyayushchee ustroistvo v sisteme s zapazdyvaniem pri zadannom koeffitsiente usileniya [Optimal Digi-tal Control Device in the System with Delay at a Given Gain], (2010), Elektrotekhnicheskie i Komp'yuternye Sistemy, Kiеv, Ukraine, Tekhnіka, No. 01 (77), pp. 49 – 52 (In Russian)..
11. Bobrikov S.A., Pichugin E.D. Optimal'naya nastroika tsifrovogo regulyatora dlya ob"ekta vysokogo poryadka s zapazdyvaniem [The Optimal Setting of the Digi-tal Controller for High-Order Time-Delay], (2010), Elektrotekhnicheskie i Komp'yuternye sistemy, Kiеv, Ukraine, Tekhnіka, No. 75, pp.57 – 61 (In Russian).
12. Andre-Ango. Matematika dlya elektro i radioinzhenerov [Andre-Ango. Mathematics for Electrical and Radio Engineers], (1964), Mos-cow, Russian Federation, Nauka. 772 p/ In Rus-sian).
13. Carroll C., White R., (1967), Discrete Sompensation of Sontrol Systems with Integrated Circuits, IEEE Transactions, No. 5.
Published:
Last download:
2017-11-22 17:22:07

[ © KarelWintersky ] [ All articles ] [ All authors ]
[ © Odessa National Polytechnic University, 2014. Any use of information from the site is possible only under the condition that the source link! ]
Яндекс.Метрика