Stabilization of the variable-length pendulum

The variable-length pendulum, proved to be nonminimum phase and non static-state-feedback linearizable, is stabilized around an equilibrium point by means of the passivity-based design control technique of Energy Shaping plus Damping Injection.

[1]  R. Ortega Passivity-based control of Euler-Lagrange systems : mechanical, electrical and electromechanical applications , 1998 .

[2]  H. Sira-Ramírez A general canonical form for feedback passivity of nonlinear systems , 1998 .

[3]  H. Sira-Ramirez,et al.  Passivity-based controllers for the stabilization of DC-to-DC power converters , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[4]  Romeo Ortega,et al.  Passivity-based control of a class of Blondel-Park transformable electric machines , 1997, IEEE Trans. Autom. Control..

[5]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[6]  Alberto Bressan,et al.  On differential systems with quadratic impulses and their applications to Lagrangian mechanics , 1993 .

[7]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[8]  Rafael Kelly,et al.  Regulation of manipulators in generic task space: an energy shaping plus damping injection approach , 1999, IEEE Trans. Robotics Autom..

[9]  R. Ortega,et al.  Energy-shaping of port-controlled Hamiltonian systems by interconnection , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[10]  Eva Navarro Lopez,et al.  On the passivity of general nonlinear systems , 2000 .

[11]  H. Sira-Ramirez On the control of the variable length pendulum , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[12]  Romeo Ortega,et al.  Passivity-based controllers for the stabilization of Dc-to-Dc Power converters , 1997, Autom..

[13]  R. Ortega,et al.  On passivity‐based output feedback global stabilization of euler‐lagrange systems , 1995 .

[14]  Z. Jiang,et al.  Passivity-based control of nonlinear systems: a tutorial , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[15]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[16]  Romeo Ortega,et al.  Passivity-Based Control of a Class of Blondel-Park Transformable Electric Machines , 1997 .

[17]  Arjan van der Schaft,et al.  Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).