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. 2019 Dec 30;20(1):211. doi: 10.3390/s20010211
DoF Degree of freedom
EHA Electro-hydraulic actuator
SMC Sliding mode controller
ACL Anterior cruciate ligament
PCL Posterior cruciate ligament
ICR Instantaneous center of rotation
SEA Series elastic actuator
HA Hydraulic actuator
ROM Range of motion
MCU Microcontroller unit
SSE Sum of square error
RMSE Root mean square error
BLDC Brushless DC
I/O Input/output
CAN Controller area network
SPI Serial peripheral interface
FSR Force-sensing resistor
PID Proportional-integral-differential
PCHIP Piecewise cubic Hermite interpolation
Nomenclature
θp Relative angle between the ground link and the point P within the coupler (°)
x Position (mm)
pn Coefficients of polynomial with respect to θp ()
qn Coefficients of polynomial with respect to x ()
Dm Ideal volumetric displacement of the motor (mm3/rev)
θ˙m Motor shaft speed (rev/s)
Q1 Return flow from motor in pump, supplied flow in cylinder (mm3/s)
Q2 Forward flow to motor in pump, return flow in cylinder (mm3/s)
Cim Internal or cross-port leakage coefficient (mm3/s/bar)
Cem External leakage coefficient (mm3/s/bar)
P1 Pressure in the return chamber (bar)
P2 Pressure in the forward chamber (bar)
QL Load flow (mm3/s)
PL Pressure difference (bar)
V10, V20 Two chambers of initial condition (mm3)
βe Bulk modulus (bar)
Pr Reference pressure (bar)
Cim Coefficient of the internal leakage (mm3/s/bar)
Cem1 Coefficient of the external leakage from the return chamber (mm3/s/bar)
Cem2 Coefficient of the external leakage from the forward chamber (mm3/s/bar)
A1, A2 Area of each chamber (mm2)
Vt Total hydraulic actuator volume (mm3)
A¯ Average of cross-sectional area of chamber (mm2)
m Mass of the load (kg)
B Damping coefficient (N/(m/s))
K Spring coefficient (N/m)
FL Disturbance (N)
u Motor shaft speed, control input (rev/min)
sr˜ Scaling factor ()
s Sliding surface ()
λ Strictly positive constant ()
xd Desired position (mm)
e Tracking error (mm)
η Design parameter ()
Φ Boundary layer thickness ()