Analysis and Stabilization of Chaos in the Electric-Vehicle Steering System

This paper presents a new control method to improve the safety performance of the electric-vehicle (EV) steering system. It is found that the EV steering system exhibits unstable chaotic behaviors at certain speeds, which can deteriorate the steering performance and even make vehicles fall into spin. In this paper, a new dynamic model is proposed to describe the EV steering system, which takes into account the motor drive for EV propulsion. Moreover, both the driver's reaction time and the disturbance caused by irregularities of the road surface are also incorporated into the EV steering model. It can be identified that periodic, quasi-periodic, and chaotic motions occur at the EV steering system with respect to different forward speeds. Thus, a new control scheme, namely the adaptive time-delayed feedback control (ATDFC), is proposed and implemented to stabilize the EV steering system from chaos to stable operation. Finally, the validity of the proposed model and control are verified.

[1]  I. Shimada,et al.  A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems , 1979 .

[2]  J. Christian Gerdes,et al.  Modification of vehicle handling characteristics via steer-by-wire , 2005, IEEE Transactions on Control Systems Technology.

[3]  Wolfgang Sienel,et al.  Robust Control for Automatic Steering , 1990, 1990 American Control Conference.

[4]  K. T. Chau,et al.  Chaos in Electric Drive Systems: Analysis, Control and Application , 2011 .

[5]  John R. Wagner,et al.  A trajectory tracking steer-by-wire control system for ground vehicles , 2006, IEEE Transactions on Vehicular Technology.

[6]  K. T. Chau,et al.  Experimental stabilization of chaos in a voltage-mode DC drive system , 2000 .

[7]  Zhaoheng Liu,et al.  Stability and Oscillations in a Time-Delayed Vehicle System with Driver Control , 2004 .

[8]  Kestutis Pyragas Continuous control of chaos by self-controlling feedback , 1992 .

[9]  Shun'ichi Doi,et al.  Bifurcation in vehicle dynamics and robust front wheel steering control , 1998, IEEE Trans. Control. Syst. Technol..

[10]  Hans B. Pacejka,et al.  THE MAGIC FORMULA TYRE MODEL , 1991 .

[11]  K. T. Chau,et al.  Modern Electric Vehicle Technology , 2001 .

[12]  Robert E. Fenton,et al.  On the steering of automated vehicles: Theory and experiment , 1976 .

[13]  Liming Dai,et al.  Stability and Hopf bifurcation of a nonlinear model for a four-wheel-steering vehicle system , 2004 .

[14]  Bilin Aksun Güvenç,et al.  Robust Yaw Stability Controller Design and Hardware-in-the-Loop Testing for a Road Vehicle , 2009, IEEE Transactions on Vehicular Technology.

[15]  Ching Chuen Chan,et al.  Emerging Energy-Efficient Technologies for Hybrid Electric Vehicles , 2007, Proceedings of the IEEE.

[16]  A. Laneville,et al.  Characterization of Dynamic Vehicle Stability Using Two Models of the Human Pilot Behaviour , 1986 .

[17]  Ching Chuen Chan,et al.  Analysis of chaos in current-mode-controlled DC drive systems , 2000, IEEE Trans. Ind. Electron..

[18]  Ahmad B. Rad,et al.  A Genetic Fuzzy Controller for Vehicle Automatic Steering Control , 2007, IEEE Transactions on Vehicular Technology.

[19]  Duygun Erol,et al.  Implementation and Development of an Adaptive Steering-Control System , 2010, IEEE Transactions on Vehicular Technology.

[20]  Vadim I. Utkin,et al.  Linear and nonlinear controller design for robust automatic steering , 1995, IEEE Trans. Control. Syst. Technol..

[21]  J. CHAOTIC ATTRACTORS OF AN INFINITE-DIMENSIONAL DYNAMICAL SYSTEM , 2002 .

[22]  Guanrong Chen,et al.  On time-delayed feedback control of chaotic systems , 1999 .