Research Article

Investigation of the Hydraulic Servo System of the Rolling Mill Using Nonsingular Terminal Sliding Mode-Active Disturbance Rejection Control

Table 1

Simulation model of the control system.

ParameterNumerical value

Viscous damping coefficient of piston Bp (N·s/m)2.25 × 106
Servo gain coefficient ksv (m3/(V·s))0.01
Bulk modulus of elasticity βe (Pa)7 × 108
Return pressure pr (Pa)0
Hydraulic pump outlet pressure Ps (Pa)3.8 × 107
Hydraulic oil density ρ (kg/m3)850
Effective area of the cylinder Ap (m2)0.1256
Hydraulic cylinder leakage coefficient Ct (m5/(N·s))5 × 10–16
Total mass of the piston and load m (kg)1500
Elastic stiffness coefficient k (N/m)2.5 × 109
Valve flow coefficient Cd0.61
Servo valve area gradient (m)0.025
Initial volume of the hydraulic cylinder V (m3)3.768 × 10−3