摘要

In designing linear quadratic Gaussian (LQG) controller based on a full-size railway vehicle, the solutions for the coefficient matrices A, B, Q, R, and N can be quite difficult. Moreover, debugging the weighting coefficients of so many control indexes can be onerous, but the calculation results for a simplified vehicle model are very inaccurate. With these two factors taken into consideration, a seven degrees of freedom (DOFs) simplified railway vehicle model is proposed, in which the wheelset dynamic motion parameters are used as the input excitation. When an LQG controller is designed based on this model, the eight DOFs of the four wheelsets can be left out and the dimensions of the coefficient matrices A, B, C, D, Q, and N will be reduced by at least 16. Even so, the wheel-rail non-linear contact relation can be considered. It is found that the maximum deviations of the calculation results between the simplified model and the 62-DOF full-size three-dimensional model established in the software ADAMS/Rail are <16%. The weighting coefficients are defined by means of an analytic hierarchy process method, and a quite obvious control effect can be obtained by designing the LQG controller based on the simplified model.