A.A. Bisov1, A.A. Chumachenko2, S.A. Bronov3, N.V. Popov4, M.A. Vaiman5, D.D. Krivova6, P.V. Avlasko7, S.Yu. Pichkovskaya8, A.I. Nuyaksheva9
1, 2, 4-9 Joint Stock Company «Scientific production enterprise «Radiosviaz» (Krasnoyarsk, Russia) 3, 5 FSBI of HE Krasnoyarsk State Agrarian University (Krasnoyarsk, Russia) 6-8 FSAEI of HE Siberian Federal University (Krasnoyarsk, Russia)
1 glutamine@mail.ru, 2 maijorishe@mail.ru, 3 sa_bronov@mail.ru, 4 lestrange01@inbox.ru, 5 maxsonix@yandex.com, 6 mddarja@gmail.com, 7 pavlasko@sfu-kras.ru, 8 spichkovskaya@mail.ru, 9 goccanna@mail.ru
A class of nonlinear plants characterized by multiple control channels is considered, where the same output objective can be achieved through different combinations of control inputs. As a representative example, a doubly-fed inductor motor is analyzed, for which six control variables are available: two voltage amplitudes, two frequencies, and two controllable phase shifts. These inputs enable regulation of the motor’s angular velocity, r otation angle, and electromagnetic torque. For the synthesis of control laws, linear -system theory is employed with parameters fixed at values defined by the steady -state operating point of the nonlinear plant. The proposed approach utilizes the redundancy of control inputs, since variations in speed or position can be achieved with different combinations of control variables. Although operating conditions change during regulation, which would normally require adaptation of cont rol-law parameters, in the proposed method these parameters remain constant. Instead, appropriate coordinated adjustments of supply frequency and voltage amplitude are selected to achieve the desired speed (proportional to the frequency difference) while keeping controller parameters unchanged.
Bisov A.A., Chumachenko A.A., Bronov S.A., Popov N.V., Vaiman M.A., Krivova D.D., Avlasko P.V., Pichkovskaya S.Yu., Nuyaksheva A.I. Adaptive control system for multichannel nonlinear dynamical plants. Dynamics of complex systems. 2026. V. 20. № 1. P. 101−112. DOI: 10.18127/j19997493-202601-10 (in Russian).
- Zhulovyan V.V. E`lektricheskie mashiny`: e`lektromexanicheskoe preobrazovanie e`nergii. M.: Izd-vo Yurajt. 2018. 424 s.
- Zabuga V.A., Panteleev V.I., Suxanov V.V. Sposoby` matematicheskogo opisaniya dvigatelya dvojnogo pitaniya s e`lektromagnitnoj redukciej skorostivperexodny`xiustanovivshixsya rezhimax i ix analiz. Sb. st. Avtomatizaciya e`lektromexanicheskix sistem. Novosibirsk: NE`TI. 1981. S. 153–162.
- Panteleev V.I., Chenczov S.V. Algoritm optimizacii sledyashhego e`lektroprivoda s IDDP./ Sb. st. Avtomatizirovanny`e e`lektromexanicheskie sistemy`. Novosibirsk: NE`TI, 1985. S. 104–107.
- Shevchenko A.F., Chestyunina T.V., Toporkov D.M., Vyal`cev G.B. Dvigateli s e`lektromagnitnoj redukciej chastoty` vrashheniya sventil`ny`mpodmagnichivaniem. Doklady` AN VSh RF. 2021. № 4 (53). S. 49–61.
- Bronov S., Stepanova E., Avlasko P., Nukulin N., Krivova D., Bisov A. Doubly fed inductorelectric drive model for automation systems. IOP Conf. Series: Materials Science and Engineering. 2020. №862 (032102). P. 1 –7. URL: https://iopscience.iop.org/article/10.1088/ 1757-899X/862/3/032102. DOI:10.1088/1757-899X/862/3/032102
- Titovskii S.N., Titovskaya T.S., Titovskaya N.V. Pulse voltagestabilizer controlled by amicrocontroller. IOP Conf. Series: Materials Science and Engineering. 2020. №919 (062043). 6 s. doi:10.1088/1757-899X/919/6/062043
- Titovskii S.N., Titovskaya N.V., Titovskaya T.S. Influence of the digitaldata representation error in the linearcontrol contour of apulsevoltage stabilizer. Journal of Physics: Conference Series: APITECH -2019. 2019. №1399 (022051). 5 s. doi:10.1088/1742- 6596/1399/ 2/022051
- Nepomnyashhij O.V., Krasnobaev Yu.V., Titovskij S.N., Xabarov V.A. Mikroe`lektronny`eustrojstva upravleniya silovy`mi e`nergopreobrazuyushhimi modulyami sistem e`lektropitan iya perspektivny`xkosmicheskix apparatov. Journal of Siberian Federal University. Engineering & Technologies. 2012. №2 (5). S. 162–168.
- Nepomnyashchiy O.V., Krasnobaev Y.V., Yablonsky A.P., Sirotinina N.J., Potekhin V.V. Ensuring minimumduration of transient processes in switchedvoltage regulators with digitalcontrol. Austrian Journal of Political Science. 2019. T. 6. № 24. S. e6. 1
- Nepomnyashchiy O.V., Krasnobaev Y.V., Yablonsky A.P., Solopko I.V., Lichargin D.V. Ensuring extremeregulation of power of primaryenergy sources at theirjoint operation for totalload. Siberian Journal of Science and Technology. 2020. T. 21. № 1. S. 85–95. 1
- Krasnobaev Yu.V., Nepomnyashhij O.V., Ivanchura V.I., Pozharkova I.N., Yablonskij A.P. Impul`sny`jstabilizator napryazhe niyascifrovy`mupravleniem dlya avtonomnoj sistemy` e`lektropitaniya. Izvestiya Tomskogo politexnicheskogo universiteta. Inzhiniring georesursov. 2018. T. 329. № 11. S. 61–73. 1
- Mishhenko D.D. Modelirovanie slozhny`xdinamicheskix ob``ektov. Vestnik KrasGAU. 2014. № 3(90). S. 35– 4
- Adaptive control system for multichannel nonlinear dynamical plants Dynamics of complex systems / Dinamika slozhnykh sistem, V. 20, № 1, 2026, p. 101−112 112

