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This paper revisits the concept of controlled reduction, a symmetry-based method of decomposing the control of mechanical systems into lower-dimensional problems. Founded on a geometric property of serial kinematic chains termed recursive cyclicity, the present work extends this property to branched chains by defining the minimal irreducible tree structure. We then generalize the subrobot theorem...
We applied partial feedback linearization to the unicycle model to stabilize part of the state at a desired position on the plane and extend it to design formation control for teleoperation. Further, using output synchronization results we derive a Single Master Multiple Slave bilateral teleoperation system robust to constant unknown, possible different time delays between master and formation and...
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