Nonlinear Motion Control and Trajectory Planning for a Car-like Autonomous Vehicle with Nonholonomic and State Constraints

This paper addresses the nonlinear motion control and trajectory planning problems for a car-like autonomous vehicle with nonholonomy and state constraints. Compared with the existing works regarding the nonholonomic car-like autonomous vehicles, the state constraint is highlighted in this study for both nonlinear trajectory planning and motion control. First, a nonlinear tracking control law under the state constraint is achieved by taking advantage of the dynamic feedback linearization technique. It is shown that the well-known dynamic feedback linearization technique can be applied to the car-like autonomous vehicle with the constrained state by using a change of coordinates and input transformation. The corresponding results are established in this paper. Second, an explicit trajectory planning scheme is exploited to deal with the nonlinear motion control, in particular parking con

[1]  Andrew A. Goldenberg,et al.  Neural network architecture for trajectory generation and control of automated car parking , 1996, IEEE Trans. Control. Syst. Technol..

[2]  Henk Nijmeijer,et al.  Tracking Control of Mobile Robots: A Case Study in Backstepping , 1997, Autom..

[3]  Ming Xie,et al.  Vision-guided automatic parking for smart car , 2000, Proceedings of the IEEE Intelligent Vehicles Symposium 2000 (Cat. No.00TH8511).

[4]  Florent Lamiraux,et al.  Smooth motion planning for car-like vehicles , 2001, IEEE Trans. Robotics Autom..

[5]  S. Sastry Nonlinear Systems: Analysis, Stability, and Control , 1999 .

[6]  Panagiotis Tsiotras,et al.  Control of underactuated spacecraft with bounded inputs , 2000, Autom..

[7]  R. Murray,et al.  Trajectory generation for the N-trailer problem using Goursat normal form , 1995 .

[8]  Christian Laugier,et al.  Autonomous parallel parking of a nonholonomic vehicle , 1996, Proceedings of Conference on Intelligent Vehicles.

[9]  Philippe Martin,et al.  A Lie-Backlund approach to equivalence and flatness of nonlinear systems , 1999, IEEE Trans. Autom. Control..

[10]  Giuseppe Oriolo,et al.  Trajectory Planning and Control for Planar Robots with Passive Last Joint , 2002, Int. J. Robotics Res..

[11]  M. Fliess,et al.  Flatness, motion planning and trailer systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[12]  Marilena Vendittelli,et al.  WMR control via dynamic feedback linearization: design, implementation, and experimental validation , 2002, IEEE Trans. Control. Syst. Technol..

[13]  Christian Laugier,et al.  Motion generation and control for parking an autonomous vehicle , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[14]  Ching-Hung Lee,et al.  Tracking control of unicycle-modeled mobile robots using a saturation feedback controller , 2001, IEEE Trans. Control. Syst. Technol..

[15]  Makoto Ohki,et al.  Control of the autonomous mobile robot DREAM-1 for a parallel parking , 1996 .

[16]  Günther Schmidt,et al.  Neural and fuzzy approaches to vision-based parking control , 1996 .

[17]  Hebertt Sira-Ramírez,et al.  Dynamic second-order sliding mode control of the hovercraft vessel , 2002, IEEE Trans. Control. Syst. Technol..

[18]  Tung-Sheng Chiang,et al.  Parallel parking a car-like robot using fuzzy gain scheduling , 1999, Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328).

[19]  R. Murray,et al.  Real‐time trajectory generation for differentially flat systems , 1998 .

[20]  F. Gómez-Bravo,et al.  Parallel and diagonal parking in nonholonomic autonomous vehicles , 2001 .

[21]  Tarek Hamel,et al.  On robustness and precision of mobile robots missions , 2001, Autom..

[22]  Jong-Hwan Kim,et al.  Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots , 1999, IEEE Trans. Robotics Autom..

[23]  S. Yasunobu,et al.  Predictive fuzzy control and parking control , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[24]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[25]  Ahmed Rachid,et al.  A time-varying-based robust control for the parking problem of a wheeled mobile robot , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[26]  W. A. Daxwanger,et al.  Skill-based visual parking control using neural and fuzzy networks , 1995, 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century.

[27]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[28]  M. Fliess,et al.  On Differentially Flat Nonlinear Systems , 1992 .

[29]  Hebertt Sira-Ramírez,et al.  On the sliding mode control of multivariable nonlinear systems , 1996 .