Adaptive backstepping control for electro-hydraulic servo system in extension sleeve press-fitting process of bearing pressing machine

Open Access

Table 1

Relevant parameters of the electro-hydraulic position servo system for the extension cylinder of a certain type of bearing pressing machine [36].

Parameter	Value	Parameter	Value
Pressure source of the system (p_s)	6 × 10⁶/ Pa	Elastic modulus of the oil (β_e)	1.5 × 10⁸/ Pa
Return oil pressure of the system (p_r)	0 /Pa	Load mass (m)	80/ kg
Effective viscous damping coefficient (B)	80/ (N ∙ s/m)	Current gain of the servo valve spool (k_i)	4 × 10⁻⁸/ (m/V)
Initial volume of left cavity (V₀₁)	2 × 10⁻³/ m³	Hydraulic cylinder leakage coefficient (C_τ)	9 × 10⁻¹²/ (m⁵/(N ∙ s))
Initial volume of right cavity (V₀₂)	2 × 10⁻³/ m³	Flow coefficient of the orifice (C_d)	0.6
Effective area of the left and right cavities (A)	2 × 10⁻⁴/ m²	Gradient of the orifice area (ω)	0.025/ m

Note: Some parameters in Table 1 are selected from the instruction manual for the bearing pressing machine purchased by our university, while the remaining parameters are selected from reference [36].

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