Switched seesaw control for the stabilization of underactuated vehicles

Automatica

Volumn 43, Issue 12, 2007, Pages 1997-2008

  Pedro Aguiar, A ^a   Hespanha, João P ^b   Pascoal, António M ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Autonomous underwater vehicles; Hybrid control; Nonholonomic systems; Stabilization; Switched systems

Indexed keywords

AUTONOMOUS UNDERWATER VEHICLES; NONLINEAR CONTROL SYSTEMS;

EXTENDED NONHOLONOMIC DOUBLE INTEGRATOR (ENDI); HYBRID CONTROL; NONHOLONOMIC SYSTEMS;

SWITCHING SYSTEMS;

EID: 36248994804     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.03.023     Document Type: Article

References (33)

1. Aguiar, A. P. (2002). Nonlinear motion control of nonholonomic and underactuated systems. Ph.D. Thesis. Instituto Superior Técnico, Technical University of Lisbon, Lisbon, Portugal.
2. Aguiar, A. P., & Pascoal, A. M. (2000). Stabilization of the extended nonholonomic double integrator via logic-based hybrid control. In Proceedings of the 6th international IFAC symposium on robot control, Vienna, Austria.
3. Aguiar, A. P. & Pascoal, A. M. (2001). Regulation of a nonholonomic autonomous underwater vehicle with parametric modeling uncertainty using Lyapunov functions. In Proceedings of the 40th conference on decision and control, Orlando, FL, USA.
4. Aguiar, A. P., & Pascoal, A. M. (2002). Global stabilization of an underactuated autonomous underwater vehicle via logic-based switching. In Proceedings of the 41st conference on decision and control, Las Vegas, NV, USA.
5. Aicardi M., Casalino G., Bicchi A., and Balestrino A. Closed loop steering of unicycle-like vehicles via Lyapunov techniques. IEEE Robotics & Automation Magazine 2 1 (1995) 27-35
6. Astolfi A. Discontinuous control of the Brockett integrator. European Journal of Control 4 1 (1998) 49-63
7. Bloch, A., & Drakunov, S. (1994). Stabilization of a nonholonomic system via sliding modes. In Proceedings of the 33rd conference on decision and control, Orlando, FL, USA.
8. Bloch A.M., Reyhanoglu M., and McClamroch N.H. Control and stabilization of nonholonomic dynamic systems. IEEE Transactions on Automatic Control 37 11 (1992) 1746-1757
9. Brockett R.W. Asymptotic stability and feedback stabilization. In: Brockett R.W., Millman R.S., and Sussman H.J. (Eds). Differential geometric control theory (1983), Birkhäuser, Boston, USA 181-191
10. Canudas-de-Wit C., and Sørdalen O.J. Exponential stabilization of mobile robots with nonholonomic constraints. IEEE Transactions on Automatic Control 37 11 (1992) 1791-1797
11. Dixon W., Jiang Z., and Dawson D. Global exponential setpoint control of wheeled mobile robots: A Lyapunov approach. Automatica 36 (2000) 1741-1746
12. Do K.D., Jiang Z.P., Pan J., and Nijmeijer H. A global output-feedback controller for stabilization and tracking of underactuated ODIN: A spherical underwater vehicle. Automatica 40 (2004) 117-124
13. Godhavn J.M., and Egeland O. A Lyapunov approach to exponential stabilization of nonholonomic systems in power form. IEEE Transactions on Automatic Control 42 7 (1997) 1028-1032
14. Hespanha, J. P. (1996). Stabilization of nonholonomic integrators via logic-based switching. In Proceedings of the 13th World congress of international federation of automatic control (Vol. E, pp. 467-472). S. Francisco, CA, USA.
15. Hespanha, J. P., Liberzon, D., & Teel, A. (2005). On input-to-state stability of impulsive systems. In Proceedings of the 44th conference on decision and control, Seville, Spain.
16. Jiang Z.P., Teel A., and Praly L. Small-gain theorem for ISS systems and applications. Mathematics of Control, Signals, and Systems 7 (1994) 95-120
17. Jiang Z.-P., and Wang Y. Input-to-state stability for discrete-time nonlinear systems. Automatica 37 (2001) 857-869
18. Kolmanovsky I., and McClamroch N.H. Hybrid feedback laws for a class of cascade nonlinear control systems. IEEE Transactions on Automatic Control 41 9 (1996) 1271-1282
19. Leonard N.E. Control synthesis and adaptation for an underactuated autonomous underwater vehicle. IEEE Journal of Oceanic Engineering 20 3 (1995) 211-220
20. Liberzon D. Switching in systems and control. Systems and control: Foundations and applications (2003), Birkhäuser, Boston, MA
21. Lizárraga D.A., Aneke N.P.I., and Nijmeijer H. Robust point stabilization of underactuated mechanical systems via the extended chained form. SIAM Journal of Control Optimization 42 6 (2004) 2172-2199
22. M'Closkey R.T., and Murray R.M. Exponential stabilization of driftless nonlinear control systems using homogeneous feedback. IEEE Transactions on Automatic Control 42 5 (1997) 614-628
23. Morin P., and Samson C. Control of nonlinear chained systems: From the Routh-Hurwitz stability criterion to time-varying exponential stabilizers. IEEE Transactions on Automatic Control 45 1 (2000) 141-146
24. Morin P., and Samson C. Practical stabilization of driftless systems on lie groups: The transverse function approach. IEEE Transactions on Automatic Control 48 9 (2003) 1496-1508
25. Morse A.S. Control using logic-based switching. In: Isidori A. (Ed). Trends in control (1995), Springer, New York, USA 69-114
26. Pettersen K.Y., and Egeland O. Time-varying exponential stabilization of the position and attitude of an underactuated autonomous underwater vehicle. IEEE Transactions on Automatic Control 44 (1999) 112-115
27. Pettersen K.Y., and Fossen T.I. Underactuated dynamic positioning of a ship-experimental results. IEEE Transactions on Control Systems Technology 8 5 (2000) 856-863
28. Prieur C., and Astolfi A. Robust stabilization of chained systems via hybrid control. IEEE Transactions on Automatic Control 48 10 (2003) 1768-1772
29. Samson C. Control of chained systems: Application to path following and time-varying point-stabilization of mobile robots. IEEE Transactions on Automatic Control 40 1 (1995) 64-77
30. Sontag E. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control 34 4 (1989) 435-443
31. Sontag E., and Wang Y. Output-to-state stability and detectability of nonlinear systems. Systems & Control Letters 29 (1997) 279-290
32. Tell A.R., Murray R.M., and Walsh G.C. Nonholonomic control systems: From steering to stabilization with sinusoids. International Journal of Control 62 (1995) 849-870
33. Tomlin C., Pappas G.L., and Sastry S. Conflict resolution for air traffic management: A study in multiagent hybrid systems. IEEE Transactions on Automatic Control 43 4 (1998) 509-521