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This paper is concerned with the speed synchronization optimal controller design problem for clutchless automated manual transmission systems in electric vehicles. It is well known that speed synchronization is one of the main challenges in a transmission system. In electric vehicles, clutchless automated manual transmission systems are regarded as promising transmission devices and are generally required to have high-precision speed synchronization capabilities. In order to satisfy this requirement, a robust optimal speed synchronization control scheme is proposed in this paper. The control law consists of preview control, integral control, and state-feedback control. Using an augmentation method, the proposed controller design problem is transformed into a state-feedback design problem for the augmented system first. As the external input is involved in the augmented system, the H∞ control scheme is employed to minimize the effect of disturbance on the controlled output. In addition, to ensure tradeoff between the transient response and the maximal control effort, the linear quadratic cost function and the pole placement technique are also adopted in the design. Finally, the controller gains are calculated by solving the linear matrix inequality. Simulation results show the effectiveness of the proposed control approach.

This paper presents a model for the analysis of transmission errors of helical gears under load. The model accommodates the modification of tooth surfaces, gear misalignments and the deformation of tooth surfaces caused by contact load. In this model, the gear contact load is assumed to be nonlinearly distributed along the direction of the relative principal curvature between the two contacting tooth surfaces. As compared with conventional tooth contact analysis (TCA) that assumes gear surfaces as rigid bodies, the model presented in this paper provides more realistic simulation results on the gear transmission errors and other gear meshing characteristics when the tooth surfaces are deformed under load. The proposed model is applied to a pair of helical gears in the numerical example included in the paper.

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