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To realize the control of the inerter and establish a more realistic model of the controllable inerter, this paper designs a controllable inerter and analyzes its nonlinear factors. The ideal model, conventional nonlinear model, and calibrated nonlinear model of the controllable inerter are analyzed and the compressibility of fluid is studied. The prototype of a controllable inerter is tested on the bench and the friction force is identified. The bulk modulus of the fluid in controllable inerter in the fluid-air mixture condition and the pure fluid condition are analyzed. A suspension kinetics model with nonlinear controllable inerter is established. And the performances of the suspension with different nonlinear models are analyzed. The result shows that the inerter force can be reflected through the calibrated nonlinear model. The mixed air has a serious negative effect on the suspension performance and the nonlinear factors will take a negative effect on the control results.