An inverted pendulum on a fixed and a moving base |
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| Institution: | 1. Facultad de Ingeniería, UAQ, Mexico;2. Departamento de Ingeniería de Control y Robótica, UNAM, Mexico;3. Eléctrica y Computación, Instituto de Ingeniería, UNAM, Mexico;1. DICATECH, Department of Civil Engineering, Environmental, Territory, Building and Chemical, Technical University of Bari, via Orabona 4, 70125 Bari, Italy;2. DICAR, Department of Civil Engineering and Architecture, Technical University of Bari, via Orabona 4, 70125 Bari, Italy;1. School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. Control and Intelligent Processing Center of Excellence, University of Tehran, Tehran, Iran;3. Department of Electrical Engineering, K.N. Toosi University of Technology, Tehran, Iran;4. Automatic Control Laboratory, Swiss Federal Institute of Technology Zurich, Physikstrasse 3, 8092 Zurich, Switzerland |
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| Abstract: | The plane motions of a controlled single-link pendulum with a fixed suspension point and a pendulum with its suspension point located at the centre of a wheel which rolls without sliding along a flat horizontal surface are considered. The control torque, applied to the pendulum at the suspension point, is bounded in absolute magnitude. A controllability domain is constructed in the linear approximation for the one and the other pendulum, from all points of which the pendulum can be brought into the upper unstable equilibrium position without oscillations about the lower equilibrium. It is shown that the domain of controllability is greater for a pendulum mounted on a wheel, as a result it is more easily stabilizable. Control laws are constructed, under which the domain of attraction is identical to the controllability domain and is thereby the largest possible domain. |
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