An exponentially ε-convergent control algorithm for chained systems and its application to automatic parking systems

IEEE Transactions on Control Systems Technology

Volumn 14, Issue 6, 2006, Pages 1113-1126

  Liu, Kang Zhi ^a   Dao, Minh Quan ^a   Inoue, Takuya ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

Automatic parking; Chained system; Constraint of parking space; Exponential convergence; Parking algorithm; Piecewise smooth algorithm; Steering angle limitation; Switching control

Indexed keywords

AUTOMATION; LAWS AND LEGISLATION; PARKING; STEERING;

AUTOMATIC PARKING; CHAINED SYSTEM; PARKING ALGORITHM; PIECEWISE SMOOTH ALGORITHM; STEERING ANGLE LIMITATION; SWITCHING CONTROL;

ALGORITHMS;

EID: 33750388018     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2006.880206     Document Type: Article

References (22)

1. A. Astolfi, "Discontinuous control of nonholonomic systems," Syst. Contr. Lett., vol. 27, pp. 37-45, 1996.
2. M. K. Bennani and P. Rouchon, "Robust stabilization of flat and chained systems," in Proc. ECC, 1995, pp. 2642-2646.
3. A. M. Bloch and S. Drakunov, "Stabilization and tracking in the nonhononomic integrator via sliding modes," Syst. Contr. Lett., vol. 29, pp. 91-99, 1996.
4. W. E. Dixon, D. M. Dawson, E. Zergeroglu, and A. Behal, Nonlinear Control OD Wheeled Mobile Robots. New York: Springer-Verlag, 2001.
5. Z. P. Jiang, "Iterative design of time-varying stabilizers for multi-input systems in chained form," Syst. Contr. Lett., vol. 28, pp. 255-262, 1996.
6. Z. P. Jiang and H. Nijmeijer, "A recursive technique for tracking control of nonhononomic systems in chained form," IEEE Trans. Autom. Contr., vol. 44, no. 2, pp. 265-279, 1999.
7. Y. Kanayama, Y. Kimura, F. Miyazaki, and T. Noguchi, "A stable tracking control scheme for an autonomous mobile robot," in Proc. IEEE Int. Conf. Robot. Autom., 1990, pp. 384-389.
8. H. Khennouf and C. C. de Wit, "Quasi-continuous exponential stabilizer for nonholonomic systems," in Proc. 13th IFAC World Conf., 1996, pp. 49-54.
9. M. C. Laiou and A. Astolfi, "Exponential stabilization of high-order chained systems," in Proc. IFAC NOLCOS, 1998, pp. 640-654.
10. K. Z. Liu, "Piecewise smooth switching control algorithms for chained systems," in Proc. ASCC, 2002, pp. 1064-1069.
11. J. Luo and P. Tsiotras, "Exponetially convergent control laws for nonholonomic systems in power form," Syst. Contr. Lett., vol. 35, pp. 87-95, 1998.
12. R. T. M'Closkey and R. M. Murray, "Exponential stabilization of driftless nonlinear control systems using homogeneous feedback," IEEE Trans. Autom. Contr., vol. 42, no. 5, pp. 614-628, May 1997.
13. P. Morin and C. Samson, "Control of nonlinear chained systems: From the Routh-Hurwitz stability criterion to time-varying exponential stabilizers," IEEE Trans. Autom. Contr., vol. 45, no. 1, pp. 141-146, Jan. 2000.
14. P. Morin and C. Samson, "Practical stabilization of driftless systems on Lie groups: The transverse function approach," IEEE Trans. Autom. Contr., vol. 48, no. 9, pp. 1496-1508, Sep. 2003.
15. R. M. Murray and S. Sastry, "Nonholonomic motion planning: Steering using sinusoids," IEEE Trans. Autom. Contr., vol. 38, no. 5, pp. 700-716, May 1993.
16. J.-B. Pomet, "Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift," Syst. Contr. Lett., vol. 18, pp. 147-158, 1992.
17. M. Reyhanoglu, "Exponential stabilization of a underactuated autonomous surface vessel," Automatica, vol. 33-12, pp. 2249-2254, 1997.
18. M. Sampei, "A control strategy for a class of non-holonomic systems-time state control form and its applications," in Proc. CDC, 1994, pp. 1120-1121.
19. C. Samson, "Control of chained systems application to path following and time-varying point-stabilization of mobile robots," IEEE Trans. Autom. Contr., vol. 40, no. 1, pp. 64-77, Jan. 1995.
20. O. J. Sordalen and O. Egeland, "Exponential stabilization of nonholonomic chained systems," IEEE Trans. Autom. Contr., vol. 40, no. 1, pp. 35-49, Jan. 1995.
21. A. Teel, R. Murray, and G. Walsh, "Nonholonomic control systems: From steering to stabilization with sinusoids," Int. J. Contr., vol. 62, pp. 849-870, 1995.
22. G. Walsh and L. G. Bushnell, "Stabilization of multi input chained form control systems," Syst. Contr. Lett., vol. 25, pp. 227-234, 1995.