The invention discloses a design method for a high speed pantograph multiple-target robust Hinfinity controller. The method comprises the following steps: establishing a nonlinear pantograph-contact wire system model; establishing a single overhead line system model; establishing a pantograph-contact wire system state-space model; designing a multiple-target robust Hinfinity controller. The establishment of the pantograph-contact wire system state-space model is the basis for calculating a state feedback gain matrix; the random measurement loss has strong practical significance, so that the control on the initiative control force and pantograph bow lifting volume is necessary on the basis of consideration for the practical application; the pantograph-contact wire system is complex in running environment and is easily disturbed by the external environment and the model possibly has a modeling error, so that the application of the robust controller can guarantee the stability and robustness of the system; the method provided by the invention has better control performance and practicability.