<p>This research presents an advanced study on the modeling and stability analysis of electro-hydraulic control modules used in intelligent chassis systems. Firstly, a comprehensive nonlinear mathematical model of the electro-hydraulic power-shift system is developed, incorporating pipeline characteristics through impedance analysis and examining coupling effects between the pilot solenoid valve, main valve, and pipeline. Then, the model’s accuracy is validated through experimental testing, demonstrating high precision and minimal model errors. A comparative analysis between simulation data (both with and without pipeline characteristics) and experimental results reveals that the model considering pipeline parameters aligns more closely with experimental data, highlighting its superior accuracy. The research further explores the influence of key factors on system stability, including damping coefficient, feedback cavity orifice diameter, spring stiffness, pipeline length, and pipeline diameter. Significant findings include the critical impact of damping coefficient, orifice diameter, and pipeline length on stability, while spring stiffness has a minimal effect. These findings provide valuable insights for optimizing electro-hydraulic control modules in intelligent chassis systems, with practical implications for automotive and construction machinery applications.</p>