Optimal Control of Nonlinear Resonances for Vehicle Suspension using Linear and Nonlinear Control

摘要

The dynamic equations of the strongly nonlinear vibration of vehicle suspension with linear and nonlinear feedback controllers are developed. The strongly nonlinear vibration is transformed into the weakly nonlinear vibration by the nonlinear controller. The forced vibration of vehicle suspension is studied by the method of multiple scales. The regions of feedback gains obtained from the stability conditions of eigenvalue equation quantitatively are presented. Taking attenuation ratio and energy function as the objective functions, the control parameters of velocity and displacement are calculated by the minimum optimal method. Illustrative examples are given to show the effectiveness of vibration control.