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Vision-based control of wheeled mobile robots is an interesting
field of research from a scientific and even social point of view
due to its potential applicability. This book presents a formal
treatment of some aspects of control theory applied to the problem
of vision-based pose regulation of wheeled mobile robots. In this
problem, the robot has to reach a desired position and orientation,
which are specified by a target image. It is faced in such a way
that vision and control are unified to achieve stability of the
closed loop, a large region of convergence, without local minima
and good robustness against parametric uncertainty. Three different
control schemes that rely on monocular vision as unique sensor are
presented and evaluated experimentally. A common benefit of these
approaches is that they are valid for imaging systems obeying
approximately a central projection model, e.g., conventional
cameras, catadioptric systems and some fisheye cameras. Thus, the
presented control schemes are generic approaches. A minimum set of
visual measurements, integrated in adequate task functions, are
taken from a geometric constraint imposed between corresponding
image features. Particularly, the epipolar geometry and the
trifocal tensor are exploited since they can be used for generic
scenes. A detailed experimental evaluation is presented for each
control scheme.
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