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Table 1 Parameter variation range of force control simulation model

From: Force Compensation Control for Electro-Hydraulic Servo System with Pump–Valve Compound Drive via QFT–DTOC

Parameter name

Initial value

Variation range

Equivalent proportional coefficient \(k_a\)

173.3

161.17–185.43185.

Natural frequency of servo motor \(\omega_{sm} \left( {{\text{rad}}/{\text{s}}} \right)\)

141.60

131.69–151.51

Inherent damping ratio of servo motor \(\zeta_{sm}\)

1.99

1.85–2.13

Natural frequency of load \(\omega_{m} \left( {{\text{rad}}/{\text{s}}} \right)\)

158

146.94–169.06

Damping ratio of load \(\zeta_{m}\)

0.75

0.70–0.8

Ratio of stiffness to damping coefficient of series coupling of hydraulic spring and load spring \(\omega_{r} \left( {{\text{rad}}/{\text{s}}} \right)\)

1.67

1.55–1.79

Natural frequency of hydraulic spring and load spring and mass \(\omega_{0} \left( {{\text{rad}}/{\text{s}}} \right)\)

1246

1158.78–1333.22

Damping ratio \(\zeta_{0}\)

0.07

0.065–0.075