I've been playing with the motor model that was suggested by someone upthread. However, the parameters required for the model are things like motor inductance and resistance, a 'back emf' constant, and torque at a particular current. I tried varying the particular values to match your dataset, but was unsuccessful. You may want to give it a try, though. It was here:
Here is an LTSpice implementation of their model:
Version 4 SHEET 1 928 820 WIRE -384 64 -384 32 WIRE -384 176 -384 144 WIRE -224 32 -384 32 WIRE -80 32 -224 32 WIRE -80 96 -80 32 WIRE -80 208 -80 176 WIRE -80 320 -80 288 WIRE -80 432 -80 400 WIRE -80 544 -80 512 WIRE 128 80 128 32 WIRE 128 176 128 160 WIRE 208 32 128 32 WIRE 352 32 208 32 WIRE 352 64 352 32 WIRE 352 176 352 144 WIRE 352 288 352 256 WIRE 352 400 352 368 WIRE 512 64 512 48 WIRE 512 160 512 144 WIRE 512 176 512 160 WIRE 608 48 512 48 WIRE 688 48 608 48 WIRE 688 64 688 48 WIRE 688 160 512 160 WIRE 688 160 688 128 WIRE 816 48 688 48 WIRE 816 64 816 48 WIRE 816 160 688 160 WIRE 816 160 816 144 FLAG -80 544 0 FLAG -384 176 0 FLAG 352 400 0 FLAG 128 176 0 FLAG 512 176 0 FLAG 608 48 position_in_radians FLAG -224 32 Motor_Voltage FLAG 208 32 Torque SYMBOL voltage -384 48 R0 WINDOW 3 -365 194 Left 0 WINDOW 123 -361 160 Left 0 WINDOW 39 24 130 Left 0 SYMATTR Value PWL(0MS 0V 1MS 10V 1000MS 10V 1010MS 0V 2000MS 0V) SYMATTR Value2 AC 1 SYMATTR InstName V_AMP SYMBOL ind -96 80 R0 SYMATTR InstName LM SYMATTR Value {La} SYMBOL res -96 192 R0 SYMATTR InstName RM SYMATTR Value {Ra} SYMBOL bv -80 304 R0 SYMATTR InstName B_EMF SYMATTR Value V=I(VSENSE2)*Kemf SYMBOL voltage -80 416 R0 WINDOW 0 43 48 Left 0 SYMATTR InstName VSENSE1 SYMATTR Value 0V SYMBOL bv 128 64 R0 SYMATTR InstName B_TORQ SYMATTR Value V=I(VSENSE1)*Kt SYMBOL ind 336 48 R0 SYMATTR InstName LJ SYMATTR Value {Jm} SYMBOL res 336 160 R0 SYMATTR InstName RB SYMATTR Value {Bm} SYMBOL voltage 352 272 R0 SYMATTR InstName VSENSE2 SYMATTR Value 0V SYMBOL bi2 512 64 R0 SYMATTR InstName B1 SYMATTR Value I=I(VSENSE2) SYMBOL cap 672 64 R0 SYMATTR InstName CPOS SYMATTR Value 1 SYMBOL res 800 48 R0 SYMATTR InstName RPOS SYMATTR Value 1MEG TEXT 24 -24 Left 0 !.param Kemf 25m TEXT 24 -184 Left 0 !.param Ra=0.5 TEXT 24 -152 Left 0 !.param La=1.5mH TEXT 24 -120 Left 0 !.param Kt=50m TEXT 24 -88 Left 0 !.param Jm=250u TEXT 24 -56 Left 0 !.param Bm=100u TEXT 24 -224 Left 0 !.tran 10ms 2000ms TEXT 528 16 Left 0 !.ic v(position_in_radians)=0 TEXT -296 -280 Left 0 ;