A NEW FAMILY OF SMOOTH STRATEGIES FOR SWINGING UP A PENDULUM
نویسندگان
چکیده
منابع مشابه
A New Family of Smooth Strategies for Swinging up a Pendulum
The paper presents a new family of strategies for swinging up a pendulum. They are derived from physical arguments based on two ideas: shaping the Hamiltonian for a system without damping; and providing damping or energy pumping in relevant regions. A two-parameter family of simple strategies without switches with nice properties is obtained. The main result is that all solutions that do not st...
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The paper presents a new family of controllers for swinging up a pendulum. The swinging up of the pendulum is derived from physical arguments based on two ideas: shaping the Hamiltonian for a system without damping; and providing damping or energy pumping in relevant regions of the state space. A family of simple smooth controllers without switches with nice properties is obtained. The main res...
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In this paper we present some additional results regarding the pumpingdamping strategy for swinging up a pendulum introduced in (Åström et al., 2005). Here, the family of energy functions is enlarged and the corresponding pumpingdamping functions are proposed giving rise to new smooth controllers that swing up and stabilize the pendulum. Furthermore, a generalization of the stability criterion ...
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Properties of simple strategies for swinging up an inverted pendulum are discussed. It is shown that the behavior critically depends on the ratio of the maximum acceleration of the pivot to the acceleration of gravity. A comparison of energy based strategies with minimum time strategy gives interesting insights into the robustness of minimum time solutions.
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The hybrid solution to the pendulum swinging-up and stabilizing problem introduced by Åström and Furuta is based in two steps: an energy injection and a linear stabilization around the desired inverted position. However the energy injection stage only considers the pendulum, and not the motion of the pivot. Furthermore, for the stabilization stage linear law, only a very small basin of attracti...
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2005
ISSN: 1474-6670
DOI: 10.3182/20050703-6-cz-1902.00843