“…This paper attempts to overcome this challenge through active control of the double-pantograph based on our previous works, 6,7 which has been explored in the single-pantograph-catenary system. [8][9][10][11][12][13][14][15][16][17][18][19] In recent years, many controllers were developed for the active pantograph, such as Proportion Integration Differentiation (PID) control, [8][9][10] sliding mode control, 11,12 optimal control, 13,14 fuzzy control, 15 model predictive control, 16 adaptive and robust fault tolerant control, 17 backstepping control, 18 feedforward control, 19 etc. However, the validations of these controllers [8][9][10][11][12][13][14][15][16][17][18][19] were only verified with single pantograph, which might be inefficient with double pantographs due to the more complex structure and higher nonlinearity of the system.…”