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 interest
Swinging up of a pendulum by manual control
β Scribed by T. Takahashi; H. Inooka
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 446 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0957-4158
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β¦ Synopsis
Since the governing equation of a pendulum is nonlinear, the analytical control law is difficult to obtain. In this paper, we use a manual control method to obtain the control law for swinging up of the pendulum. In the manual control method, the operator is required to control the target system skilfully. Hence, we introduce a pendulum simulator, which has good performance to enhance the operator's skill by training. Then the obtained control sequence is stored in the computer and is reproduced in real time. This procedure is called the playback method. The results show that the playback method can be well applied to the problem of swinging up control of the pendulum.
π SIMILAR VOLUMES
A new algorithm ensuring global attractivity of the upright (unstable) equilibrium of a pendulum, based on the variable structure system-version of the energy-speed-gradient method, is proposed. It is shown that global attractivity cannot be obtained with continuous static state feedback. A detailed
The problem of constructing a control, which maximizes or minimizes the deviation of the first (upper) section of a plane double pendulum in one or several half-cycles of oscillations is solved. The angle between the sections, which can be varied within specified limits, is considered as the control