Time-varying linear controllers for exponential tracking of non-holonomic systems in chained form

International Journal of Robust and Nonlinear Control

Volumn 17, Issue 7, 2007, Pages 631-647

  Tian, Yu Ping ^a   Cao, Ke Cai ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Chained form systems; Exponential convergence; Non holonomic systems; Persistence of excitation; Trajectory tracking

Indexed keywords

CASCADE CONTROL SYSTEMS; COMPUTER SIMULATION; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

CHAINED FORM SYSTEMS; EXPONENTIAL CONVERGENCE; NON-HOLONOMIC SYSTEMS; PERSISTENCE OF EXCITATION; TRAJECTORY TRACKING;

LINEAR CONTROL SYSTEMS;

EID: 34247209585     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1149     Document Type: Article

References (21)

1. Murray RM, Sastry SS. Nonholonomic motion planning: steering using sinusoids. IEEE Transactions on Automatic Control 1993; 38(5): 700-716.
2. Kolmanovsky I, McClamroch NH. Developments in nonholonomic control systems. IEEE Control Systems Magazine 1995; 15(6):20-36.
3. Brockett RW. Asymptotic stability and feedback stabilization. In Differential Geometric Control Theory, Brockett RW, Millman RS, Sussmann HJ (eds). Birkhauser: Boston, MA, U.S.A., 1983; 181-191.
4. Astolfi A. Discontinuous control of nonholonomic systems. Systems and Control Letters 1996; 27(1):37-45.
5. Samson C. Control of chained syslems application lo path following and time-varying point-stabilization of mobile robots. IEEE Transactions on Automatic Control 1995; 40(1):64-77.
6. Sørdalen OJ, Egeland O. Exponential stabilization of nonholonomic chained systems. IEEE Transactions on Automatic Control 1995; 40(1):35-49.
7. Tian Y-P, Li S. Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control. Automatica 2002; 38(7):1139-1146.
8. Hespanha JP, Morse AS. Slabilization of nonholonomic integrators via logic-based switching. Automatica 1999; 35(3):385-393.
9. Jiang Z-P, Nijmeijer H. A recursive technique for tracking control of nonholonomic systems in the chained form. IEEE Transactions on Automatic Control 1999; 44(2):265-279.
10. Samson C, Ait-Abderrahim K. Feedback control of a nonholonomic wheeled cart in cartesian space. Proceedings of IEEE International Conference on Robotics and Automation, Sacramento, CA, 1991; 1136-1141.
11. Jiang Z-P. Lyapunov design of global state and output tracker nonholonomic control syslems. International Journal of Control 2000; 73(9):744-761.
12. Lefeber E, Robertsson A, Nijmeijer H. Linear controllers for exponential tracking of systems in chained-form. International Journal of Robust and Nonlinear Control 2000; 10(4):243-263.
13. Aneke NPI, Nijimeijer H, De Jager AG. Tracking control of second-order chained-form systems by cascade backstepping. International Journal of Robust and Nonlinear Control 2003; 13(2):95-115.
14. Lefeber E. Tracking Control of Nonlinear Mechanical Systems. University of Twente: The Netherlands, 2000.
15. Lee T-C, Song K-T, Lee CH-H, Teng CH-CH. Tracking control of unicycle modeled mobile robots using a saturation feedback controller. IEEE Transactions on Control Systems Technology 2001; 9(2):305-318.
16. Do KD, Jiang Z-P, Pan J. Universal controllers for stabilization and tracking of underactuated ships. Systems and Control Letters 2002; 47(4):299-317.
17. Laiou M-C, Astolfi A. Quasi-smooth control of chained systems. Proceedings of the American Control Conference, San Diego, U.S.A., 1999; 3940-3944.
18. Kern G. Uniform controllability of a class of linear time-varying systems. IEEE Transactions on Automatic Control 1982; 27(1):208-210.
19. Slotine JE, Li W. Applied Nonlinear Control. Prentice-Hall: Englewood Cliffs, NJ, 1991.
20. Panteley E, Lefeber E, Loria A, Nijmeijer H. Exponential tracking control of a mobile car using a cascaded approach. Proceedings of the IFAC Workshop on Motion Control, Grenoble, France, 1998; 221-226.
21. Huang L. Fundamental Theory of Stability and Robustness (1st edn). Press of Science: Beijing, 2003; 252-274 (in Chinese).