Vehicle modeling and parameter estimation using adaptive limited memory joint-state UKF

Vehicle modeling is an essential part of controller design and validation. This is especially true for model-based control design approaches, such as model-predictive control (MPC), which require an accurate model for predicting the vehicle motion. In this paper we propose a new adaptive joint-state unscented Kalman filter (JUKF) to estimate the unknown vehicle parameters using experimentally collected data. We test the proposed algorithm using three nonlinear vehicle models of increased fidelity: a single-track model, a double-track model and a full 11-dof vehicle model. Simulation results validate the proposed algorithm.

[1]  David A. Belsley,et al.  Regression Analysis and its Application: A Data-Oriented Approach.@@@Applied Linear Regression.@@@Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1981 .

[2]  W. Marsden I and J , 2012 .

[3]  A. Jazwinski Stochastic Processes and Filtering Theory , 1970 .

[4]  Rudolph van der Merwe,et al.  The unscented Kalman filter for nonlinear estimation , 2000, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373).

[5]  Bhaswati Goswami,et al.  Two novel costs for determining the tuning parameters of the Kalman Filter , 2011, 1110.3895.

[6]  Francesco Borrelli,et al.  Vehicle inertial parameter identification using Extended and unscented Kalman Filters , 2013, 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013).

[8]  Michael J. Grimble,et al.  Adaptive systems for signal processing, communications and control , 2001 .

[9]  Jianda Han,et al.  Adaptive Unscented Kalman Filter and Its Applications in Nonlinear Control , 2009 .

[10]  Jan Åslund,et al.  Investigating Vehicle Model Detail for Close to Limit Maneuvers Aiming at Optimal Control , 2011 .

[11]  Joga Dharma Setiawan,et al.  Modeling, simulation and validation of 14 DOF full vehicle model , 2009, International Conference on Instrumentation, Communication, Information Technology, and Biomedical Engineering 2009.

[12]  Andrew W. Smyth,et al.  Application of the unscented Kalman filter for real‐time nonlinear structural system identification , 2007 .

[13]  Emilio Frazzoli,et al.  Steady-state cornering equilibria and stabilisation for a vehicle during extreme operating conditions , 2010 .

[14]  Pakharuddin Mohd. Samin,et al.  Integration of Magic Formula Tire Model with Vehicle Handling Model , 2012 .

[15]  Zhengyou Zhang,et al.  Parameter estimation techniques: a tutorial with application to conic fitting , 1997, Image Vis. Comput..

[16]  Demetrios G. Lainiotis,et al.  Optimal Estimation in the Presence of Unknown Parameters , 1969, IEEE Trans. Syst. Sci. Cybern..

[17]  B. Tapley,et al.  Adaptive sequential estimation with unknown noise statistics , 1976 .

[18]  Kai Sun,et al.  Dynamic State Estimation for Multi-Machine Power System by Unscented Kalman Filter With Enhanced Numerical Stability , 2015, IEEE Transactions on Smart Grid.