Optimal stabilization and path-following controls for a bicycle

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 221, Issue 4, 2007, Pages 415-428

  Sharp, Robin S ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Bicycle; Optimal control; Preview; Riding; Stability; Tracking

Indexed keywords

EQUATIONS OF MOTION; FREQUENCY RESPONSE; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; STABILIZATION;

OPTIMAL-LINEAR-CONTROL-THEORY; TRACKING CONTROL; VIRTUAL RIDER-CONTROLLED SYSTEM;

BICYCLES;

BICYCLES; EQUATIONS OF MOTION; FREQUENCY RESPONSE; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; STABILIZATION;

EID: 34347213789     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954406JMES529     Document Type: Article

References (36)

1. Rankine, W. J. M. On the dynamical principles of the motion of velocipedes. The Engineer, 1869, 28, 79, 129, 153, 175; 1870, 29, 2.
2. Sharp, A. Bicycles and tricycles: an elementary treatment on their design and construction, 1896 (Longman, White Plains, NY). (Reprinted as: Bicycles and tricycles: a classic treatise on their design and construction, 1977 (Dover, Mineola, NY)).
3. Whipple, E J. W. The stability of the motion of a bicycle. Q. J. Pure Appl. Math., 1899, 30, 312-348.
4. Carvallo, M. E. Théorie du movement du monocycle, part 2: Théorie de la bicyclette. Journal de L'école Polytechnique, 1901, 6, 1-118.
5. Klein, F. and Sommerfeld, A. Über die Theorie des Kreisels. Stabilität des Fahrrads, vol. IX(8), 1910, pp. 863-884 (Teubner, Leipzig).
6. Sharp, R. S. The stability and control of motorcycles. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 1971, 13(C5), 316-329.
7. Sharp, R. S. The dynamics of single track vehicles. Veh. Syst. Dyn., 1975, 5(1-2), 67-77.
8. Sharp, R. S. A review of motorcycle steering behaviour, and straight line stability characteristics. Society of Automotive Engineers Paper 780303, 1978, pp. 1-6.
9. Sharp, R. S. The lateral dynamics of motorcycles and bicycles. Veh. Syst. Dyn., 1985, 14 (4-6), 265-284.
10. Sharp, R. S. Stability, control and steering responses of motorcycles. Veh. Syst. Dyn., 2001, 35(4-5), 291-318.
11. Limebeer, D. J. N. and Sharp, R. S. Bicycles, motorcycles and models. IEEE Control Syst. Mag., 2006, 26(5), 34-61.
12. Getz, N. H. Internal equilibrium control of a bicycle. In Proceedings of the IEEE Conference on Decision and control, 1995, 4, pp. 4285-4287.
13. Frezza R. and Beghi, A. Simulating a motorcycle driver. In New trends in nonlinear dynamics and control (Eds W. Kang et al.), 2003, pp. 175-186 (Springer-Verlag, Berlin Heidelberg).
14. Frezza, R., Beghi, A., and Saccon, A. Model predictive and hierarchical control for path following with motorcycles. In Proceedings of the IEEE Conference on Decision and control, 2004, pp. 767-772.
15. Frezza, R. and Beghi, A. A virtual motorcycle driver for closed-loop simulation. IEEE Control Syst. Mag., 2006, 26(5), 62-77.
16. Timoshenko, S. and Young, D. H. Advanced dynamics, 1948 (McGraw-Hill, NewYork).
17. Sharp, R. S. Motorcycle handling dynamics. In Road and off-road vehicle system dynamics handbook (Eds G. R. M. Mastinu and M. Plöchl) (Taylor and Francis, London), in press.
18. Schwab, A. L., Meijaard, J. P., and Papadopoulos, J. M. Benchmark results on the linearized equations of motion of an uncontrolled bicycle. In Proceedings of the 2nd Asian Conference on Multibody dynamics, Seoul, South Korea, 2004, pp. 1-9.
19. Schwab, A. L., Meijaard, J. P., and Papadopoulos, J. M. A multibody dynamics benchmark on the equations of motion of an uncontrolled bicycle. In Proceedings of the European Nonlinear Oscillations Conference (Eds D. H. van Campen, M. Lazurko and W. P. J. M. van den Oever), Eindhoven, 2005, pp. 511-521.
20. Schwab, A. L., Meijaard, J. P., and Kooijman, J. D. G. Experimental validation of a model of an uncontrolled bicycle. In Proceedings of the 3rd European Conference on Computational mechanics: solids, structures and coupled problems in engineering, Lisbon (Eds C. A. Mota-Soares et al.), 2006, pp. 1-16.
21. Tomizuka, M. Optimal linear preview control with application to vehicle suspension-revisited. Trans. ASME, J. Dyn. Syst. Meas. Control, 1976, 98, 309-315.
22. Louam, N., Wilson, D. A., and Sharp, R. S. Optimal control of a vehicle suspension incorporating the time delay between front and rear wheel inputs. Veh. Syst. Dyn., 1988, 17(6), 317-336.
23. Louam, N., Wilson, D. A., and Sharp, R. S. Optimisation and performance enhancement of active suspensions for automobiles under preview of the road. Veh. Syst. Dyn., 1992, 21(1),39-63.
24. Prokop, G. and Sharp, R. S. Perform ince enhancement of limited bandwidth active automotive suspensions by road preview. IEE Proc., Control Fheory Appl., 1995, 142(2), 140-148.
25. Sharp, R. S. and Valtetsiotis, V. Optimal preview car steering control. Selected papers from 20th International Congress of Theoretical and Applied mechanics, (Eds P Lugner and K. Hedrick) (Swets and Zeitlinger B. V, Lisse), Supplement to Veh. Syst. Dyn., 2001, 35, 101-117.
26. Sharp, R. S. Driver steering control and a new perspective on car handling qualities. Proc. IMechE, Part C: J. Mechanical Engineering Science, 2005, 219(C8), 1041-1051.
27. Sharp, R. S. Optimal linear time-invariant preview steering control for motorcycles. The dynamics of vehicles on roads and on tracks (Eds S. Bruni and G. Mastinu) (Taylor and Francis, London), supplement to Veh. Syst. Dyn., 44(1), 2006, pp. 329-340.
28. Sharp, R. S. Dynamics of motorcyrcles: stability and control. In Dynamical analysis of vehicle systems: theoretical foundations and advanced applications (Ed. W. Schiehlen), p. 46, in press (Springer, Wien/NewYork).
29. Sayers, M. W. Vehicle models for RT S applications. Veh. Syst. Dyn., 1999, 32(4-5), 421-438.
30. Anderson, B. D. O. and Moore, J. B. Linear optimal control, 1971 (Prentice-Hall Inc., Englewood Cliffs, NJ).
31. Åström, K. J., Klein, R. E., and Lennartsson, A. Bicycle dynamics and control. IEEE Control Syst. Mag., 2005, 25(4),26-38.
32. Jones, D. E. H. The stability of the bicycle. Phys. Today, 1970, 23(4), 34-40.
33. Doebelin, E. O. Control system priviciples and design, 1985 (John Wiley and Sons, New York).
34. Miyagishia, S., Kageyama, I., Takama, K., Baba,M., and Uchiyama, H. Study on construction of a rider robot for two-wheeled vehicle, JSAE Rev., 2003, 4, 321-326.
35. About bicycling robot murata boy, available from http://www.murata.com/ news/index.html.
36. A motorcycle competes for the DARPA grand challenge, available from http://www.ghostriderrobot.com/.