Exponentially convergent control laws for nonholonomic systems in power form

Systems and Control Letters

Volumn 35, Issue 2, 1998, Pages 87-95

  Luo, Jihao ^a   Tsiotras, Panagiotis ^a  

^a University of Virginia   (United States)

Author keywords

Exponential convergence; Invariant manifolds; Nonholonomic systems; Power form

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; FEEDBACK CONTROL; INVARIANCE; LINEAR CONTROL SYSTEMS; RECURSIVE FUNCTIONS;

EXPONENTIALLY CONVERGENT CONTROL LAWS; INVARIANT MANIFOLDS; NONHOLONOMIC SYSTEMS;

CONTROL SYSTEM SYNTHESIS;

EID: 0032157448     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00039-5     Document Type: Article

References (20)

1. A. Astolfi, Discontinuous control of nonholonomic systems, Systems Control Lett. 27(1) (1996) 37-45.
2. A. Bloch, S. Drakunov, Stabilization and tracking in the nonholonomic integrator via sliding modes, Systems Control Lett. 29 (1996) 91-99.
3. W.M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, 2nd ed., Academic Press, San Diego, California, 1986.
4. R.W. Brockett, Asymptotic stability and feedback stabilization, in: R.W. Brockett, R.S. Millman, H.J. Sussman (Eds.), Differential Geometric Control Theory, Birkhauser, Basel, 1983.
5. C. Canudas de Wit, O.J. Sordalen, Examples of piecewise smooth stabilization of driftless NL systems with less inputs than states, in: Proc. IFAC Nonlinear Control Systems Design Symp., Bordeaux, France, 1992.
6. J.M. Coron, Global asymptotic stabilization for controllable systems without drift, Math. Cont. Signals Systems 5 (1992) 295-312.
7. H. Khennouf, C. Canudas de Wit, On the construction of stabilizing discontinuous controllers for nonholonomic systems, in: Proc. IFAC Nonlinear Control Systems Design Symp., Tahoe City, CA, 1995, pp. 747-752.
8. H. Khennouf, C. Canudas de Wit, Quasi-continuous exponential stabilizers for nonholonomic systems, in: World IFAC Conf, San Francisco, CA, 1996.
9. I. Kolmanovsky, H. McClamroch, Developments in nonholonomic control problems, IEEE Control Systems Mag. 15(6) (1995) 20-36.
10. I. Kolmanovsky, H. McClamroch, Hybrid feedback laws for a class of cascade nonlinear control systems, IEEE Trans. Automat. Control 41 (1996) 1271-1282.
11. H. Krishnan, M. Reyhanoglu, H. McClamroch, Attitude stabilization of a rigid spacecraft using two control torques: A nonlinear control approach based on the spacecraft attitude dynamics, Automatica 30(6) (1994) 1023-1027.
12. J. Luo, P. Tsiotras, Control design for systems in chained form with bounded inputs, in: Proc. American Control Conf., Philadelphia, PA, 1998, pp. 473-477.
13. R.T. M'Closkey, R.M. Murray, Exponential stabilization of driftless nonlinear control systems using homogeneous feedback, in: Proc. 33rd Conf. on Decision and Control, Lake Buena Vista, FL, 1994, pp. 1317-1322.
14. R. Murray, Control of nonholonomic systems using chained form, Fields Inst. Commun. 1 (1993) 219-245.
15. R.M. Murray, Z. Li, S.S. Sastry, A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, FL, 1994.
16. J.P. Pomet, Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift, Systems Control Lett. 18 (1992) 147-158.
17. C. Samson, Velocity and torque feedback control of a nonholonomic cart, in: Int. Workshop on Adaptive and Nonlinear Control: Issues in Robotics, Grenoble, France, 1990, pp. 125-151.
18. O.J. Sørdalen, O. Egeland, Exponential stabilization of nonholonomic chained systems, IEEE Trans. Automat. Control 40(1) (1995) 35-49.
19. A. Teel, R. Murray, G. Walsh, Nonholonomic control systems: From steering to stabilization with sinusoids, in: Proc. 31st IEEE Conf. on Decision and Control, 1992, pp. 1603-1609.
20. P. Tsiotras, M. Corless, M. Longuski, A novel approach for the attitude control of an axisymmetric spacecraft subject to two tontrol torques, Automatica 31(8) (1995) 1099-1112.