Trajectory generation for a class of nonlinear systems with input and state constraints

Autonomous vehicles with nonlinear dynamics need to have a planned reference trajectory and a feedback controller to accomplish the task of traveling from a launch point to a goal point. Traditionally the planning stage has either been done from a purely geometrical point of view without regarding the dynamic constraints of the system, or by time-consuming numerical optimization including the dynamic constraints and input bounds. This paper presents a new way to generate a trajectory quickly when a nonlinear system is input-output linearizable while satisfying the dynamic constraints. An example of a trajectory based on a simplified nonlinear longitudinal helicopter model with minimum time criteria is presented.

[1]  C. Vasudevan,et al.  Case-based path planning for autonomous underwater vehicles , 1994, Proceedings of 1994 9th IEEE International Symposium on Intelligent Control.

[2]  Allan Y. Lee,et al.  Optimal landing of a helicopter in autorotation , 1986 .

[3]  Robert L. Fortenbaugh,et al.  Development And Testing Of Flying Qualities For Manual Operation Of A Tiltrotor UAV , 1995 .

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

[5]  S. Shankar Sastry,et al.  Steering car-like systems with trailers using sinusoids , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[6]  K. Ganesan,et al.  Case-based path planning for autonomous underwater vehicles , 1994, Auton. Robots.

[7]  Daniel R. Baker,et al.  Exact solutions to some minimum time problems with inequality state constraints , 1989, Math. Control. Signals Syst..

[8]  Hans Seywald,et al.  Trajectory optimization based on differential inclusion , 1994 .

[9]  M. Scott.  Time/fuel optimal control of constrained linear discrete systems , 1986, Autom..

[10]  Arthur E. Bryson,et al.  Optimal landing of a helicopter in autorotation , 1988 .

[11]  J. Betts.  Survey of Numerical Methods for Trajectory Optimization , 1998 .

[12]  P. E. Couch,et al.  Curved path approaches and dynamic interpolation , 1990, IEEE Aerospace and Electronic Systems Magazine.

[13]  J. W. Jackson,et al.  Curved path approaches and dynamic interpolation , 1991 .

[14]  S. K. Kirn,et al.  MATHEMATICAL MODELING AND EXPERIMENTAL IDENTIFICATION OF A MODEL HELICOPTER , 1998 .

[15]  D. Lane,et al.  Subsea vehicle path planning using nonlinear programming and constructive solid geometry , 1997 .

[16]  Daniel Baker.  Exact solutions to some minimum time problems and their behavior near inequality state constraints , 1987, 26th IEEE Conference on Decision and Control.

[17]  Sunil K. Agrawal,et al.  On discrete-time trajectory planning for state space exact linearizable systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[18]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[19]  Isaac Kaminer,et al.  Survey of unmanned air vehicles , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[20]  H. Sussmann,et al.  Limits of highly oscillatory controls and the approximation of general paths by admissible trajectories , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[21]  H. Okabe,et al.  A motion planning method for an AUV , 1996, Proceedings of Symposium on Autonomous Underwater Vehicle Technology.