Vehicle Yaw Control via Second-Order Sliding-Mode Technique

The problem of vehicle yaw control is addressed in this paper using an active differential and yaw rate feedback. A reference generator, designed to improve vehicle handling, provides the desired yaw rate value to be achieved by the closed loop controller. The latter is designed using the second-order sliding mode (SOSM) methodology to guarantee robust stability in front of disturbances and model uncertainties, which are typical of the automotive context. A feedforward control contribution is also employed to enhance the transient system response. The control derivative is constructed as a discontinuous signal, attaining an SOSM on a suitably selected sliding manifold. Thus, the actual control input results in being continuous, as it is needed in the considered context. Simulations performed using a realistic nonlinear model of the considered vehicle show the effectiveness of the proposed approach.

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

[2]  Giorgio Bartolini,et al.  A survey of applications of second-order sliding mode control to mechanical systems , 2003 .

[3]  G. Bartolini,et al.  Chattering avoidance by second-order sliding mode control , 1998, IEEE Trans. Autom. Control..

[4]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[5]  Antonella Ferrara,et al.  A sub-optimal second order sliding mode controller for systems with saturating actuators , 2008, 2008 American Control Conference.

[6]  Leonid M. Fridman,et al.  Analysis of Chattering in Systems With Second-Order Sliding Modes , 2007, IEEE Transactions on Automatic Control.

[7]  Antonella Ferrara,et al.  Output tracking control of uncertain nonlinear second-order systems , 1997, Autom..

[8]  Lorenzo Fagiano,et al.  Stability control of 4WS vehicles using robust IMC techniques , 2008 .

[9]  Giancarlo Genta,et al.  Motor Vehicle Dynamics , 1997 .

[10]  Giancarlo Genta,et al.  Motor Vehicle Dynamics: Modeling and Simulation , 1997, Series on Advances in Mathematics for Applied Sciences.

[11]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[12]  Lorenzo Fagiano,et al.  Robust vehicle yaw control using an active differential and IMC techniques , 2007 .

[13]  T. Bunte,et al.  Robust two degree of freedom vehicle steering controller design , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[14]  J. Ackerman,et al.  Robust Yaw Damping of Cars with Front and Rear Wheel Steering , 1993 .

[15]  M. Canale,et al.  A comparison between IMC and Sliding Mode approaches to vehicle yaw control , 2008, 2008 American Control Conference.

[16]  Leonid M. Fridman,et al.  Performance Analysis of Second-Order Sliding-Mode Control Systems With Fast Actuators , 2007, IEEE Transactions on Automatic Control.

[17]  Antonella Ferrara,et al.  Chattering avoidance by second-order sliding mode control , 1998, IEEE Transactions on Automatic Control.

[18]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[19]  Antonella Ferrara,et al.  On second order sliding mode controllers , 1998 .

[20]  Lorenzo Fagiano,et al.  Comparing Internal Model Control and Sliding-Mode Approaches for Vehicle Yaw Control , 2009, IEEE Transactions on Intelligent Transportation Systems.

[21]  Rajesh Rajamani,et al.  Vehicle dynamics and control , 2005 .

[22]  Hans B. Pacejka,et al.  A New Tire Model with an Application in Vehicle Dynamics Studies , 1989 .

[23]  Ali Charara,et al.  Virtual sensor: application to vehicle sideslip angle and transversal forces , 2004, IEEE Transactions on Industrial Electronics.

[24]  F Frigerio,et al.  Objective evaluation of handling quality , 2002 .

[25]  David M. Bevly,et al.  The use of GPS for vehicle stability control systems , 2004, IEEE Transactions on Industrial Electronics.

[26]  Shouchuan Hu Differential equations with discontinuous right-hand sides☆ , 1991 .