Nonlinear Optimal Control of Magnetically Geared Induction Motors

Basseville, M. and Nikiforov, I. (1993). Detection of Abrupt Changes: Theory and Applications. New Jersey, USA, Prentice-Hall. BassevilleM. NikiforovI. 1993 Detection of Abrupt Changes: Theory and Applications New Jersey, USA Prentice-Hall Search in Google Scholar

Bidouche, B., Lubin, T. and Mezani, S. (2020). Transient Performance of A Magnetically Geared Induction Machine. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 39(5), pp. 1113–1130. doi: 10.1108/COMPEL-12-2019-0485 BidoucheB. LubinT. MezaniS. 2020 Transient Performance of A Magnetically Geared Induction Machine COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 39 5 1113 1130 10.1108/COMPEL-12-2019-0485 Open DOISearch in Google Scholar

Dobzhanskyi, O., Hossain, E., Amiri, E., Gouws, R., Grebenikov, V., Muzurenko, L., Pryinak, M. and Gamalijia, R. (2019). Axial-Flux PM Disk Generator with Magnetic Gear for Oceanic Wave Energy Harvesting. IEEE Access, 7, pp. 44813–44822. doi: 10.1109/ACCESS.2019.2908348 DobzhanskyiO. HossainE. AmiriE. GouwsR. GrebenikovV. MuzurenkoL. PryinakM. GamalijiaR. 2019 Axial-Flux PM Disk Generator with Magnetic Gear for Oceanic Wave Energy Harvesting IEEE Access 7 44813 44822 10.1109/ACCESS.2019.2908348 Open DOISearch in Google Scholar

Druant, J., de Belit, F., Sergeant, P. and Melkeboek, J. (2016). Field-Oriented Control for an Induction Machine based Electrical Variable Transmission. IEEE Transactions on Vehicular Technology, 65(6), pp. 4230–4240. doi: 10.1109/TVT.2015.2496625 DruantJ. de BelitF. SergeantP. MelkeboekJ. 2016 Field-Oriented Control for an Induction Machine based Electrical Variable Transmission IEEE Transactions on Vehicular Technology 65 6 4230 4240 10.1109/TVT.2015.2496625 Open DOISearch in Google Scholar

Gorecki, M. (2018). Optimization and Control of Dynamic Systems: Foundations, Main Developments, Examples and Challenges. Cham, Switzerland, Springer. GoreckiM. 2018 Optimization and Control of Dynamic Systems: Foundations, Main Developments, Examples and Challenges Cham, Switzerland Springer Search in Google Scholar

Grimble, M. J. and Majeski, P. (2020). Nonlinear Industrial Control Systems: Optimal Polynomial Systems and State-Space Approach. London, UK, Springer. GrimbleM. J. MajeskiP. 2020 Nonlinear Industrial Control Systems: Optimal Polynomial Systems and State-Space Approach London, UK Springer Search in Google Scholar

Habibi, H., Amimzhad, A. and Khosrowjerdi, M. J. (2024). Nonlinear Control of Coaxial Double Rotor Magnetic Gear Based on High-Gain Observer in Wind Turbines. IET Control Theory and Applications, 19, pp. 1314–1327. doi: 10.1049/cth2.12666 HabibiH. AmimzhadA. KhosrowjerdiM. J. 2024 Nonlinear Control of Coaxial Double Rotor Magnetic Gear Based on High-Gain Observer in Wind Turbines IET Control Theory and Applications 19 1314 1327 10.1049/cth2.12666 Open DOISearch in Google Scholar

Hazra, S., Kmt, P., Bhattacharya, S., Ouyaang, W. and Englebretson, S. (2020). Power Conversion with a Magnetically Geared Permanent Magnet Generator for Low-Speed Wave Energy Converter. IEEE Transactions on Industry Applications, 56(5), pp. 5308–5318. doi: 10.1109/TIA.2020.2997640 HazraS. KmtP. BhattacharyaS. OuyaangW. EnglebretsonS. 2020 Power Conversion with a Magnetically Geared Permanent Magnet Generator for Low-Speed Wave Energy Converter IEEE Transactions on Industry Applications 56 5 5308 5318 10.1109/TIA.2020.2997640 Open DOISearch in Google Scholar

Kumashira, A., Chen, L., Fujiti, Y., Chiba, A., Graber, W., Amrhen, W. and Jungmeyr, G. (2004). Novel Reluctance-Type Magnetic-Geared Motor Integrated with High-Speed Bearingless Motor. IEEE Transactions on Industry Applications, 60(3), pp. 3808–3819. doi: 10.1109/TIA.2024.3357049 KumashiraA. ChenL. FujitiY. ChibaA. GraberW. AmrhenW. JungmeyrG. 2004 Novel Reluctance-Type Magnetic-Geared Motor Integrated with High-Speed Bearingless Motor IEEE Transactions on Industry Applications 60 3 3808 3819 10.1109/TIA.2024.3357049 Open DOISearch in Google Scholar

Liao, X., Bingham, C. and Smith, T. (2023). Robust Speed Control of Magnetic Drive-Trains with Low-Cost Drives. IEEE Transactions on Energy Conversion, 39(1), pp. 435–445. doi: 10.1109/TEC.2023.3329074 LiaoX. BinghamC. SmithT. 2023 Robust Speed Control of Magnetic Drive-Trains with Low-Cost Drives IEEE Transactions on Energy Conversion 39 1 435 445 10.1109/TEC.2023.3329074 Open DOISearch in Google Scholar

Long, T. V., Sharkh, S. M., Anglada, J. R., Hendijamiczadeh, M. and Moshrefi-Torbati, M. (2023). Rotary-to-:Linear Magnetic Gear. IEEE Transactions on Industry Applications, 59(3), pp. 3310–3319. doi: 10.1109/TIA.2023.3252520 LongT. V. SharkhS. M. AngladaJ. R. HendijamiczadehM. Moshrefi-TorbatiM. 2023 Rotary-to-:Linear Magnetic Gear IEEE Transactions on Industry Applications 59 3 3310 3319 10.1109/TIA.2023.3252520 Open DOISearch in Google Scholar

McGilton, B., Crazier, D., McDonald, A. and Mueller, M. (2018). Review of Magnetic Gear Technologies and their Applications to Marine Energy. IET Renewable Power Generation, 12(2), pp. 174–181. doi: 10.1049/iet-rpg.2017.0210 McGiltonB. CrazierD. McDonaldA. MuellerM. 2018 Review of Magnetic Gear Technologies and their Applications to Marine Energy IET Renewable Power Generation 12 2 174 181 10.1049/iet-rpg.2017.0210 Open DOISearch in Google Scholar

Molley, T. L., Charaja, J. L., Hohmann, S. and Perez, T. (2022). Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory: A Minimum Principle Approach. Springer. MolleyT. L. CharajaJ. L. HohmannS. PerezT. 2022 Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory: A Minimum Principle Approach Springer Search in Google Scholar

Montegue, R., Bingham, C. and Atallah, K. (2012). Servo Control of Magnetic Gears. IEEE/ASME Transactions on Mechatronics, 17(2), pp. 269–278. doi: 10.1109/TMECH.2010.2096473 MontegueR. BinghamC. AtallahK. 2012 Servo Control of Magnetic Gears IEEE/ASME Transactions on Mechatronics 17 2 269 278 10.1109/TMECH.2010.2096473 Open DOISearch in Google Scholar

Pop, C. V., Essaid, M., Idounchor, L. and Fodorean, D. (2018). Novel Differential Evolutionary Optimization Approach for an Integrated Motor-Magnetic Gear Used for Propulsion Systems. IEEE Access, 9, pp. 142114–142128. doi: 10.1109/ACCESS.2021.3119523 PopC. V. EssaidM. IdounchorL. FodoreanD. 2018 Novel Differential Evolutionary Optimization Approach for an Integrated Motor-Magnetic Gear Used for Propulsion Systems IEEE Access 9 142114 142128 10.1109/ACCESS.2021.3119523 Open DOISearch in Google Scholar

Qu, R., Li D. and Wang, J. (2011). Relationship between magnetic gears and Vernier machines. In: IEEE 2011 International Conference on Electrical Machines and Systems, Beijing, China, August 2011. QuR. LiD. WangJ. 2011 Relationship between magnetic gears and Vernier machines In IEEE 2011 International Conference on Electrical Machines and Systems Beijing, China August 2011 Search in Google Scholar

Rigatos, G. (2015). Nonlinear Control and Filtering Using Differential Flatness Theory Approaches: Applications to Electromechanical Systems. Cham, Switzerland, Springer. RigatosG. 2015 Nonlinear Control and Filtering Using Differential Flatness Theory Approaches: Applications to Electromechanical Systems Cham, Switzerland Springer Search in Google Scholar

Rigatos, G. (2016). Intelligent Renewable Energy Systems: Modelling and Control. Springer. RigatosG. 2016 Intelligent Renewable Energy Systems: Modelling and Control Springer Search in Google Scholar

Rigatos, G., Abbaszadeh, M., Hamida, M. A. and Siano, P. (2024a). Intelligent Control for Electric Power Systems and Electric Vehicles. CRC Publications. RigatosG. AbbaszadehM. HamidaM. A. SianoP. 2024a Intelligent Control for Electric Power Systems and Electric Vehicles CRC Publications Search in Google Scholar

Rigatos, G., Abbaszadeh, M. and Siano, P. (2022). Control and Estimation of Dynamical Nonlinear and Partial Differential Equation Systems: Theory and Applications. London, UK, IET Publications. RigatosG. AbbaszadehM. SianoP. 2022 Control and Estimation of Dynamical Nonlinear and Partial Differential Equation Systems: Theory and Applications London, UK IET Publications Search in Google Scholar

Rigatos, G., Abbaszadeh, M. and Siano, P. (2025). Nonlinear Optimal and Flatness-Based Control Methods and Applications for Complex Dynamical Systems. London, UK, IET Publications. RigatosG. AbbaszadehM. SianoP. 2025 Nonlinear Optimal and Flatness-Based Control Methods and Applications for Complex Dynamical Systems London, UK IET Publications Search in Google Scholar

Rigatos, G., Abbaszadeh, M., Siano, P. and Wira, P. (2024b). Autonomous Electric Vehicles: Nonlinear Control, Traction and Propulsion. London, UK, Elsevier. RigatosG. AbbaszadehM. SianoP. WiraP. 2024b Autonomous Electric Vehicles: Nonlinear Control, Traction and Propulsion London, UK Elsevier Search in Google Scholar

Rigatos, G., Siano, P., Al-Numay, M., Sari, B. and Abbaszadeh, M. (2024c). Nonlinear Optimal Control for the Five-Phase Induction Motor-Based Traction System of Electric Vehicles. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 43(1), pp. 167–191. doi: 10.1108/COMPEL-05-2023-0186 RigatosG. SianoP. Al-NumayM. SariB. AbbaszadehM. 2024c Nonlinear Optimal Control for the Five-Phase Induction Motor-Based Traction System of Electric Vehicles COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 43 1 167 191 10.1108/COMPEL-05-2023-0186 Open DOISearch in Google Scholar

Rigatos, G. G. and Tzafestas, S. G. (2007). Extended Kalman Filtering for Fuzzy Modelling and Multi-Sensor Fusion. Mathematical and Computer Modelling of Dynamical Systems, 13, pp. 251–266. doi: 10.1080/01443610500212468 RigatosG. G. TzafestasS. G. 2007 Extended Kalman Filtering for Fuzzy Modelling and Multi-Sensor Fusion Mathematical and Computer Modelling of Dynamical Systems 13 251 266 10.1080/01443610500212468 Open DOISearch in Google Scholar

Rigatos, G. and Zhang, Q. (2009). Fuzzy Model Validation Using the Local Statistical Approach. Fuzzy Sets and Systems, 60(7), pp. 882–904. doi: 10.1016/j.fss.2008.07.008 RigatosG. ZhangQ. 2009 Fuzzy Model Validation Using the Local Statistical Approach Fuzzy Sets and Systems 60 7 882 904 10.1016/j.fss.2008.07.008 Open DOISearch in Google Scholar

Song, H., Lee, E., Seo, M. T. and Jeong, S. (2022). Magnetic Gear-Based Actuator: A Framework of Design, Optimization and Disturbance Observer-Based Torque Control. IEEE Robotics and Automation Letters, 8(11), pp. 7050–7060. doi: 10.1109/LRA.2023.3313011 SongH. LeeE. SeoM. T. JeongS. 2022 Magnetic Gear-Based Actuator: A Framework of Design, Optimization and Disturbance Observer-Based Torque Control IEEE Robotics and Automation Letters 8 11 7050 7060 10.1109/LRA.2023.3313011 Open DOISearch in Google Scholar

Sun, L., Cheng, M., Wen, H. and Song, L. (2017). Motion Control and Performance Evaluation of a Magnetic-geared Dual-Rotor Motor in Hybrid Powertrain. IEEE Transactions on Industrial Electronics, 64(3), pp. 1863–1872. doi: 10.1109/TIE.2016.2627018 SunL. ChengM. WenH. SongL. 2017 Motion Control and Performance Evaluation of a Magnetic-geared Dual-Rotor Motor in Hybrid Powertrain IEEE Transactions on Industrial Electronics 64 3 1863 1872 10.1109/TIE.2016.2627018 Open DOISearch in Google Scholar

Tao, K. L., Li, B. and Rehbock, Y. (2021). Applied and Computational Optimal Control: A Control Parametrization Approach. Cham, Switzerland, Springer. TaoK. L. LiB. RehbockY. 2021 Applied and Computational Optimal Control: A Control Parametrization Approach Cham, Switzerland Springer Search in Google Scholar

Tong, C., Long, J., Bai, J., Zhanga, P. and Ma, D. (2023). Deadbeat Direct-Torque and Flux Control of a Brushless Axial-Flux Magnetic-Geared Double-Rotor Machine for Power Splitting HEVs. IEEE Transactions on Industrial Electronics, 70(9), pp. 8734–8745. doi: 10.1109/TIE.2022.3213888 TongC. LongJ. BaiJ. ZhangaP. MaD. 2023 Deadbeat Direct-Torque and Flux Control of a Brushless Axial-Flux Magnetic-Geared Double-Rotor Machine for Power Splitting HEVs IEEE Transactions on Industrial Electronics 70 9 8734 8745 10.1109/TIE.2022.3213888 Open DOISearch in Google Scholar

Toussaint, G. J., Basar, T. and Bullo, F. (2000). H∞ optimal tracking control techniques for nonlinear underactuated systems. In: Proceedings of the IEEE CDC 2000, 39th IEEE Conference on Decision and Control, Sydney Australia, 2000. ToussaintG. J. BasarT. BulloF. 2000 H∞ optimal tracking control techniques for nonlinear underactuated systems In Proceedings of the IEEE CDC 2000, 39th IEEE Conference on Decision and Control Sydney Australia 2000 Search in Google Scholar

Wang, R. J. and Gerber, S. (2014). Magnetically Geared Wind Generator Technologies. Applied Energy, 136, pp. 817–826. doi: 10.1016/j.apenergy.2014.07.079 WangR. J. GerberS. 2014 Magnetically Geared Wind Generator Technologies Applied Energy 136 817 826 10.1016/j.apenergy.2014.07.079 Open DOISearch in Google Scholar

Xie, S., Zuo, Y., Song, Z., Cai, S., Chen, F., Goh, J. A., Mass, B. S. and Hoang, C. C. (2024). A Magnetic Gear Machine with Improved Magnetic Circuit Symmetry for Hybrid Electric Vehicle Applications. IEEE Transactions on Transportation Electrification, 10(1), pp. 2170–2182. doi: 10.1109/TTE.2023.3262301 XieS. ZuoY. SongZ. CaiS. ChenF. GohJ. A. MassB. S. HoangC. C. 2024 A Magnetic Gear Machine with Improved Magnetic Circuit Symmetry for Hybrid Electric Vehicle Applications IEEE Transactions on Transportation Electrification 10 1 2170 2182 10.1109/TTE.2023.3262301 Open DOISearch in Google Scholar

Xi, X., Guo, X., Gao, C., Wu, H., Liu, Y., Wang, R., Fu, W. and Lin, Q. (2023). Sliding-Mode Control of An Outer Rotor Magnetic-Gear Integrated Motor with a Halbach Array. Control Engineering Practice, 137, p. 105561. doi: 10.1016/j.conengprac.2023.105561 XiX. GuoX. GaoC. WuH. LiuY. WangR. FuW. LinQ. 2023 Sliding-Mode Control of An Outer Rotor Magnetic-Gear Integrated Motor with a Halbach Array Control Engineering Practice 137 105561 10.1016/j.conengprac.2023.105561 Open DOISearch in Google Scholar

Yang, Y., Wang, R., Zhu, X. and Du, J. (2024). Modelling, Analysis and Control of Nonlinear Kinetics of a Planetary Magnetic Gear Motor for A Steering System. Journal of Electrical Engineering and Technology, 19, pp. 2361–2368. doi: 10.1007/s42835-023-01756-w YangY. WangR. ZhuX. DuJ. 2024 Modelling, Analysis and Control of Nonlinear Kinetics of a Planetary Magnetic Gear Motor for A Steering System Journal of Electrical Engineering and Technology 19 2361 2368 10.1007/s42835-023-01756-w Open DOISearch in Google Scholar

Zhu, Z. Q. (2018). Overview of Novel Magnetically Geared Machines with Partitioned States. IET Electric Power Applications, 12(5), pp. 595–604. doi: 10.1049/iet-epa.2017.0680 ZhuZ. Q. 2018 Overview of Novel Magnetically Geared Machines with Partitioned States IET Electric Power Applications 12 5 595 604 10.1049/iet-epa.2017.0680 Open DOISearch in Google Scholar