Nonlinear observer of sideslip angle using a particle filter estimation methodology

Abstract The knowledge of the vehicle dynamic is important to improve the stability control of modern automotive engineering. Some key variables of the vehicle dynamic, such as the sideslip angle, are difficult to measure directly for technology or economic reasons. Lots of algorithms have been proposed to estimate these variables. To the best of our knowledge, most of these algorithms are based on linearization techniques, among which the extended Kalman filter is the most frequently used algorithm in the unmeasurable variable estimation for automotive control. In this paper, we propose two new nonlinear observers which uses the particle filter and the modified bootstrap filter to estimate the sideslip angle, respectively. These observers are based on the nonlinear double track model, in which the Dugoff model is used to describe the relation between the tire road forces and the sideslip angle. The good performances of these two observers are demonstrated by two classic experiments.

[1]  Edoardo Sabbioni,et al.  A methodology for vehicle sideslip angle identification: comparison with experimental data , 2007 .

[2]  Eric Moulines,et al.  Comparison of resampling schemes for particle filtering , 2005, ISPA 2005. Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis, 2005..

[3]  Uwe Kiencke,et al.  NONLINEAR OBSERVER DESIGN FOR LATERAL VEHICLE DYNAMICS , 2005 .

[4]  H. Dugoff,et al.  Tire performance characteristics affecting vehicle response to steering and braking control inputs. Final report , 1969 .

[5]  Uwe Kiencke,et al.  Automotive Control Systems , 2005 .

[6]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[7]  Rajesh Rajamani,et al.  Development and experimental evaluation of a slip angle estimator for vehicle stability control , 2006 .

[8]  J. Kim Identification of lateral tyre force dynamics using an extended Kalman filter from experimental road test data , 2009 .

[9]  Ali Charara,et al.  Onboard Real-Time Estimation of Vehicle Lateral Tire–Road Forces and Sideslip Angle , 2011, IEEE/ASME Transactions on Mechatronics.

[10]  Qi Cheng,et al.  A modified bootstrap filter , 2009, 2009 IEEE International Workshop on Robotic and Sensors Environments.

[11]  Ali Charara,et al.  Experimental evaluation of observers for tire–road forces, sideslip angle and wheel cornering stiffness , 2008 .

[12]  Rajesh Rajamani,et al.  Algorithms for Real-Time Estimation of Individual Wheel Tire-Road Friction Coefficients , 2012 .

[13]  J. Stephant,et al.  Sideslip angle, lateral tire force and road friction estimation in simulations and experiments , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[14]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

[15]  Cnrs Umr,et al.  A NEW SAMPLING METHOD IN PARTICLE FILTER , 2009 .

[16]  Nando de Freitas,et al.  The Unscented Particle Filter , 2000, NIPS.

[17]  Reza N. Jazar,et al.  Vehicle Dynamics: Theory and Application , 2009 .

[18]  Jun S. Liu,et al.  Sequential Monte Carlo methods for dynamic systems , 1997 .

[19]  John A. Grogg,et al.  Algorithms for Real-Time Estimation of Individual Wheel Tire-Road Friction Coefficients , 2006, IEEE/ASME Transactions on Mechatronics.

[20]  N. Gordon,et al.  Novel approach to nonlinear/non-Gaussian Bayesian state estimation , 1993 .

[21]  Hans B. Pacejka,et al.  Tire and Vehicle Dynamics , 1982 .

[22]  Hyeongcheol Lee,et al.  New adaptive approaches to real-time estimation of vehicle sideslip angle , 2009 .

[23]  Simon J. Godsill,et al.  On sequential Monte Carlo sampling methods for Bayesian filtering , 2000, Stat. Comput..