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We regard the difference in the pendulum length as the uncertainty, construct a generalized plant suitable for our synthesis problem, and design a single LPTV robust performance controller independent of the pendulum length.
We propose to perform this control by means of a telescopic adjustment of the pendulum length during the motion.
The influence of traverse and travel motions, pendulum length and payload mass on the pendulum motion are investigated.
First, weather optimal heading control (WOHC) is achieved through the use of specific surge and yaw controllers which make a vessel behave like a force-field pendulum, employing a virtual suspension point and an associated pendulum length.
This paper aims at demonstrating the effectiveness of robust controller synthesis with discrete-time noncausal linear periodically time-varying scaling, through control experiments with a cart inverted pendulum whose pendulum length can be set from three different values.
Overall pendulum length in Lagothrix is shorter than in Ateles.
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Numerical examples are presented which cover a range of carriage speeds, carriage masses, pendulum lengths and payload masses.
To further investigate the effect of possible influential factors, numerical examples are conducted covering a range of parameters, such as variable speeds (acceleration or deceleration), mass ratios of the payload to the total moving load, and the pendulum lengths.
In fact, the formula for the period of small oscillations of a simple pendulum of length r, T = 2π√(r/g), is at the heart of some of the most precise methods for measuring g.
Mouton used Riccioli's estimate that one degree of arc was 321,185 Bolognese feet, and his own experiments showed that a pendulum of length one virgula would beat 3959.2 times in half an hour.
A simple formula from the field of classical mechanics gives the approximate period of a simple pendulum of length, swinging with a small amplitude ( is the earth's gravitational acceleration): T \approx 2\pi \sqrt\frac{L}{g}.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com