Nonlinear dynamics and control of connected hydro-pneumatic suspension with fractional order

Abstract

This paper develops a four-degree-of-freedom dynamics model with fractional order based on an anti-roll connected hydro-pneumatic suspension of a four-axle vehicle. A comprehensive evaluation function determines the optimal order. The effects of the excitation parameters and the suspension’s internal parameters on the system’s nonlinear dynamics are investigated under sinusoidal superimposed white noise excitation. According to the simulation analysis, the system gradually stabilizes as the excitation amplitude and frequency increase. The flow coefficient variation does not affect the system. The initial pressure shows the system’s chaotic and transient periodic motion in the study interval. By establishing a double power convergence sliding film variable structure controller to control the suspension, the chaos is effectively suppressed by comparing the before and after control.