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The application of inverse system theory to vehicle handling dynamics was proposed to study steering angle input by driver for vehicle accurately achieving the given lateral acceleration. Based on the state equation of vehicle steering angle input, with the stable, invertible, controllable and observable inverse system meeting, steering angle was identified with the lateral acceleration of closed-loop simulation and actual test respectively as the inverse system input. Steering angle of identification was compared to that of actual test. The results showed that steering angle trend of identification conforms to that of actual test, with the small absolute error of lateral acceleration.