论文信息 - Stabilization of Rotational Modes for the Furuta Pendulum

Stabilization of Rotational Modes for the Furuta Pendulum

This paper deals with the construction and orbital stabilization of periodic solutions for a particular underactuated mechanical system with 2 degrees of freedom, the Furuta pendulum. It is shown that if a desired periodic motion is described by constraints imposed on the total energy of the system and on the value of the directly actuated variable, then this periodic motion can be constructed and stabilized by a particular feedback.

Anders Robertsson | Anton S. Shiriaev | Leonid Paramonov | Allan Sørensen

[1] Naomi Ehrich Leonard,et al. Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem , 2000, IEEE Trans. Autom. Control..

[2] Anton S. Shiriaev,et al. The notion of V-detectability and stabilization of invariant sets of nonlinear systems☆ , 2000 .

[3] Chung Choo Chung,et al. Nonlinear control of a swinging pendulum , 1995, Autom..

[4] Katsuhisa Furuta,et al. Energy Based Strategies for Swinging Up a Double Pendulum , 1999 .

[5] Olav Egeland,et al. On global properties of passivity-based control of an inverted pendulum , 2000 .

[6] Karl Johan Åström,et al. Friction and friction compensation in the Furuta pendulum , 1999, 1999 European Control Conference (ECC).

[7] Katsuhisa Furuta,et al. Swinging up a pendulum by energy control , 1996, Autom..

[8] K. Furuta,et al. Stabilization of a Limit Cycle in Titech Double Pendulum , 1999 .

[9] A. Shiriaev,et al. On passivity based control for partial stabilization of underactuated systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[10] Anton S. Shiriaev,et al. Friction compensation in the Furuta pendulum for stabilizing rotational modes , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[11] R. Lozano,et al. Stabilization of the inverted pendulum around its homoclinic orbit , 2000 .