Minimum time maneuver for a nonholonomic car with acceleration constraints: Preliminary results

Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05

Volumn 2005, Issue , 2005, Pages 1337-1342

  Saccon, Alessandro ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; MANEUVERABILITY; PROBLEM SOLVING; STEERING;

ACCELERATION CONSTRAINTS; BIDIMENSIONAL DOUBLE INTEGRATOR; LONGITUDINAL ACCELERATIONS; NONHOLONOMIC CAR;

OPTIMAL CONTROL SYSTEMS;

EID: 33745192086     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/.2005.1467210     Document Type: Conference Paper

References (16)

1. J. P. M. Hendrikx, T. J. J. Meijlink, and R. F. C. Kriens, "Application of optimal control theory to inverse simulation of car handling," Vehicle System Dynamics, no. 26, 1996.
2. R. S. Sharp, D. Casanova, and P. Symonds, "A mathematical model for driver sterring control, with design, tuning and performance results," Vehicle System Dynamics, no. 33, pp. 289-326, 2000.
3. R. M. Murray and S. S. Sastry, "Nonholonomic motion planning: Steering using sinusoids," IEEE Transactions on Automatic Control, vol. 5, no. 38, pp. 700-716, 1993.
4. L. E. Dubins, "On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents," Americal J. Math, no. 79, 1957.
5. J. A. Reeds and L. A. Shepp, "Optimal paths for a car that goes both forwards and backwards," Pacific J. Math., no. 145, 1990.
6. H. J. Sussmann and G. Q. Tang, "Shortest paths for the reeds-shepp car: a worked out example of the use of geoemtric techniques in nonlinear optimal control," Rutgers Center for Systems and Control, Tech. Rep. 91-10, 1991.
7. W. F. Milliken and D. L. Milliken, Race Car Vehicle Dynamics. SAE International, 1995.
8. E. B. Lee and L. Markus, Foundations of Optimal Control Theory. Wiley, 1967.
9. L. D. Berkovitz, Optimal Control Theory. Springer-Verlag, 1974.
10. L. Cesari, Optimization - Theory and Applications. Springer-Verlag, 1983.
11. L. S. Pontryagin, V. G. Boltyansky, R. V. Gamkrelidze, and E. F. Mischenko, The Mathematical Theory of Optimal Processes. Wiley, 1962.
12. A. J. Krener, "The high order maximal principle and its application to singular extremals," SIAM J. Control and Optimization, vol. 2, no. 15, 1977.
13. B. Bonnard, "On singular extremals in the time minimal control problem," in Theory and Applications of Nonlinear Control Systems, C. Byrnes and A. Lindquist, Eds. North-Holland, 1986, pp. 439-452.
14. _, "On singular extremals in the time minimal control problem, " in Analysis and Control of Nonlinear Systems, C. M. C.I. Byrnes and R. Saeks, Eds. Elsevier Science Publishers, 1988, pp. 137-148.
15. H. J. Sussmann, "Thirty years of optimal control: was the path unique?" in Modern Optimal Control, E. O. Roxin, Ed. Marcel Dekker, New York-Basel, 1989, pp. 359-375.
16. D. Feng and B. H. Krogh, "Acceleration-constrained time-optimal control in n dimensions," IEEE Transaction on Automatic Control, vol. 31, no. 10, 1986.