Abstract
This article proposed a strong robust observer of distributed drive electric vehicle states, including yaw rate, sideslip angle, and longitudinal velocity. Based on strong tracking filter algorithm framework, the proposed observer realized a strong tracking-iterative central difference Kalman filter by introducing a time-varying fade factor into iterative central difference Kalman filter. The introducing of time-varying fade factor assigns approximate orthogonality to residual error, which improves robustness of the observer at mutation conditions. Calculation efficiency and accuracy are improved by applying central difference transformation to approach posterior mean and posterior co-variance. By correcting variance and co-variance with combination of states updating and Gauss–Newton iteration, the observer also achieves high estimation accuracy and convergence rate. Finally, the observer was simulated in vehicle dynamics simulator veDYNA at slalom test and double lane change test with high and low road friction coefficients, respectively. Simulation results have verified that the observer has higher estimation accuracy as well as robustness comparing to extended Kalman filter.
Highlights
Advanced vehicle stability control systems could improve stability and handling of distributed drive electric vehicle (DDEV) effectively
To verify functionality and performance of the proposed observer, simulation has been carried out utilizing veDYNA. veDYNA is an advanced vehicle dynamics simulator based on MATLAB/Simulink
A strong robust observer of DDEV states based on proposed ST-Iterative central difference Kalman filter (ICDKF) was designed
Summary
Advanced vehicle stability control systems could improve stability and handling of distributed drive electric vehicle (DDEV) effectively. This article proposes a strong tracking-iterative central difference Kalman filter (ST-ICDKF) to estimate DDEV states, including yaw rate, sideslip angle, and longitudinal velocity. Based on nominal model in section ‘‘Vehicle dynamics model,’’ this section designs a strong robust observer ST-ICDKF of DDEV states by combining STF algorithm and ICDKF algorithm This method introduces a time-varying fade factor into states prediction error variance to assign approximate orthogonality to residual errors according to the orthogonality principle. Variance and co-variance with and without time-varying fade factor can be obtained, as well as the observation prediction, states estimation, and states error variance are shown in equation (48), as follows.
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