Vibration control with optimized sliding surface for active suspension systems using geophone

The frequency shaped sliding surface approach has been proposed for control of a suspension system measured by a relative displacement sensor and an absolute velocity sensor (geophone). The vibration isolation performance (transmissibility) is determined by the sliding surface design. The direct disturbance-force rejection performance (compliance) is determined by the regulator design. The sliding surface was designed by the pole placement method in our previous work. But manual pole placement is difficult to achieve the optimal performance. This paper formulates the problem of sliding surface optimization taking into account the geophone dynamics and solves it using Matlab optimization toolbox. The vibration isolation performance designed by sliding surface optimization is much better than the manual pole placement. The regulator is designed to realize the designed performances and to reduce the compliance.