Abstract：To improve the dynamics and energy efficiencies of electric vehicles (EVs), many researchers have decided to equip EVs with seamless shifting transmission. This paper focuses on the control algorithm for a seamless shifting transmission that reduces the shock and friction losses during shifting. An EV powertrain model is developed that includes the seamless shifting transmission and then discretized. The discrete time algebraic equation and the objective function are then used to calculate the optimal control vectors and reference trajectories of the rotational speeds. The control vectors and trajectories are then used to develop a control algorithm which contains both feed forward and feed backward parts to control the transmission. Simulations show that the algorithm not only reduces the friction loss, but also lessens the shock during shifting.
台玉琢, 宋健, 卢正弘, 方圣楠, Nguyen Truong Sinh. 基于最优轨迹的两挡无动力中断变速器控制方法[J]. 清华大学学报（自然科学版）, 2018, 58(4): 417-423.
TAI Yuzhuo, SONG Jian, LU Zhenghong, FANG Shengnan, NGUYEN Truong Sinh. Control algorithm for a seamless shifting 2-speed transmission based on the optimal trajectory. Journal of Tsinghua University(Science and Technology), 2018, 58(4): 417-423.
[1] CHAN C C. The state of the art of electric, hybrid, and fuel cell vehicles[J]. Proceedings of the IEEE, 2007, 95(4):704-718. [2] DI NICOLA F, SORNIOTTI A, HOLDSTOCK T, et al. Optimization of a multiple-speed transmission for downsizing the motor of a fully electric vehicle[J]. SAE International Journal of Alternative Powertrains, 2012, 1(1):134-143. [3] REN Q L, CROLLA D A, MORRIS A. Effect of geared transmissions on electric vehicle drivetrains[C]//ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. San Diego, USA:ASME Press, 2009:959-966. [4] SORNIOTTI A, BOSCOLO M, TURNER A, et al. Optimization of a multi-speed electric axle as a function of the electric motor properties[C]//Proceedings of 2010 IEEE Vehicle Power and Propulsion Conference. Lille, France:IEEE, 2010:1-6. [5] GAO B Z, LIANG Q, XIANG Y, et al. Gear ratio optimization and shift control of 2-speed I-AMT in electric vehicle[J]. Mechanical Systems and Signal Processing, 2015, 50-51:615-631. [6] RUAN J G, WALKER P, ZHANG N. A comparative study on energy consumption and costs of battery electric vehicle transmissions[J]. Applied Energy, 2016, 165:119-134. [7] 宋勇道. 基于两挡双离合器自动变速器的纯电动汽车驱动与换挡控制技术研究[D]. 长春:吉林大学, 2013. SONG Y D. Research on drive and shift control technology for electric vehicle with two speed dual clutch transmission[D]. Changchun:Jilin University, 2013. (in Chinese) [8] 顾强, 程秀生. 基于粒子群算法的电动汽车DCT升挡动力协调控制[J]. 农业工程学报, 2012, 28(8):84-91. GU Q, CHENG X S. Coordinated control of upshift power of double clutch transmission for electric vehicle based on particle swarm optimization[J]. Transactions of the Chinese Society of Agricultural Engineering, 2012, 28(8):84-91. (in Chinese) [9] 梁琼. 纯电动汽车两挡变速器换挡最优控制[D]. 长春:吉林大学, 2015. LIANG Q. Optimal control of the gear shift of two-speed transmission in electric vehicle[D]. Changchun:Jilin University, 2015. (in Chinese) [10] SORNIOTTI A, LORO PILONE G, Viotto F, et al. A novel seamless 2-speed transmission system for electric vehicles:Principles and simulation results[J]. SAE International Journal of Engines, 2011, 4(2):2671-2685. [11] SORNIOTTI A, HOLDSTOCK T, LORO PILONE G, et al. Analysis and simulation of the gearshift methodology for a novel two-speed transmission system for electric powertrains with a central motor[J]. Proceedings of the Institution of Mechanical Engineers, Part D:Journal of Automobile Engineering, 2012, 226(7):915-929. [12] 方圣楠, 宋健, 宋海军, 等. 基于最优控制理论的电动汽车机械式自动变速器换挡控制[J]. 清华大学学报(自然科学版), 2016, 56(6):580-586. FANG S N, SONG J, SONG H J, et al. Shifting control of automatic mechanical transmissions for electric vehicles based on optimal control theory[J]. Journal of Tsinghua University (Science and Technology), 2016, 56(6):580-586. (in Chinese) [13] FANG S N, SONG J, SONG H J, et al. Design and control of a novel two-speed uninterrupted mechanical transmission for electric vehicles[J]. Mechanical Systems and Signal Processing, 2016, 75:473-493. [14] MOUSAVI M S R, PAKNIYAT A, BOULET B. Dynamic modeling and controller design for a seamless two-speed transmission for electric vehicles[C]//2014 IEEE Conference on Control Applications. Juan Les Antibes, France:IEEE, 2014:635-640. [15] 梁琼, 任丽娜, 赵海艳, 等. 带2挡I-AMT纯电动汽车的换挡控制[J]. 汽车工程, 2013, 35(11):1000-1003, 1010. LIANG Q, REN L N, ZHAO H Y, et al. Gear shifting control of battery electric vehicle with 2-speed I-AMT[J]. Automotive Engineering, 2013, 35(11):1000-1003, 1010. (in Chinese) [16] TAI Y Z, SONG J, YU L Y, et al. Cooperative brake control strategy for electric vehicle equipped with a two-speed uninterrupted mechanical transmission[C]//Proceedings of the ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Cleveland, USA:ASME Press, 2017:V003T01A026.
2018, Vol. 58 
