A controller for 2-DOF underactuated mechanical systems with discontinuous friction

Nonlinear Dynamics

Volumn 53, Issue 3, 2008, Pages 191-200

  Martinez, Roque ^a   Alvarez, Joaquin ^a  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

Author keywords

Asymptotic stability; Friction; Mechanical systems; Uncertainty; Underactuation

Indexed keywords

COMPUTER NETWORKS; ELECTRIC DRIVES; HOLOGRAMS; MECHANICS; MECHATRONICS; TRIBOLOGY;

ACTUATED JOINTS; ARTIFICIAL CONTROL; BUSINESS MEDIA; CONTROL OBJECTIVE (CO); CONVERGENCE (MATHEMATICS); FRICTION COEFFICIENT (FC); MECHANICAL SYSTEM (MS); POSITION ERRORS; SPRINGER (CO); UNACTUATED; UNDERACTUATED MECHANICAL SYSTEMS;

FRICTION;

EID: 46249100732     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-007-9307-1     Document Type: Article

References (14)

1. Alvarez, J., Orlov, I., Acho, L.: An invariance principle for discontinuous dynamic systems with applications to a Coulomb friction oscillator. ASME J. Dyn. Syst. Meas. Control 122, 687-690 (2000)
2. Bartolini, G., Punta, E.: Second order sliding mode control of systems with nonlinear friction. In: The 39th IEEE Conference on Decision and Control, vol. 3, pp. 2192-2197 (2000)
3. Bloch, A.M., Leonard, N.E., Marsden, J.E.: Controlled Lagrangians and the stabilization of mechanical systems, I: the first matching theorem. IEEE Trans. Autom. Control 45, 2253-2270 (2000)
4. Bullo, F., Lynch, K.M.: Kinematic controllability for decoupled trajectory planning in underactuated mechanical systems. IEEE Trans. Robot. Autom. 17, 402-412 (2001)
5. Filippov, A.F.: Differential Equations with Discontinuous Right-Hand Side. Kluwer Academic, Dordrecht (1988)
6. Gomez-Estern, F., van der Schaft, A.J.: Physical damping in IDA-PBC controlled underactuated mechanical systems. Eur. J. Control 10(5) (2004)
7. Grizzle, J.W., Moog, C.H., Chevallereau, C.: Nonlinear control of mechanical systems with an unactuated cyclic variable. IEEE Trans. Autom. Control 50, 559-576 (2005)
8. Ortega, R., Spong, M.W., Gomez-Estern, F., Blankenstein, G.: Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Trans. Autom. Control 47, 1218-1233 (2002)
9. Reyhanoglu, M., van der Schaft, A., McClamroch, M.H., Kolmanovsky, I.: Dynamics and control of a class of underactuated mechanical systems. IEEE Trans. Autom. Control 44, 1663-1671 (1999)
10. Riachy, S., Floquet, T., Orlov, I., Richard, J.P.: Stabilization of the cart-pendulum system via quasi-homogeneous switched control. In: Proceedings of the 2006 International Workshop on Variable Structure Systems, Alghero, Italy, June 2006
11. Seto, D., Baillieul, J.: Control problems in super-articulated mechanical systems. IEEE Trans. Autom. Control 39, 2442-2453 (1994)
12. Shiriaev, A., Perram, J.W., Canudas-de-Wit, C.: Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach. IEEE Trans. Autom. Control 50, 1164-1176 (2005)
13. Woolsey, C.A., Bloch, A.M., Leonard, N.E., Marsden, J.E.: Physical dissipation and the method of controlled Lagrangians. In: Proceeding of the European Control Conference, Porto, Portugal (2001)
14. Woolsey, C., Bloch, A.M., Leonard, N.E., Reddy, C.K., Chang, D.E., Marsden, J.E.: Controlled Lagrangian systems with gyroscopic forcing and dissipation, Eur. J. Control 10(5) (2004)