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. Author manuscript; available in PMC: 2017 Dec 1.
Published in final edited form as: IEEE ASME Trans Mechatron. 2016 Jun 9;21(6):2635–2646. doi: 10.1109/TMECH.2016.2579620

TABLE I.

Observation of the state variables

Variables Definition
r PQ¯∕2=(xQW−Dx)2+(Dy−yPW)2∕2
xPB 4r2−(yQB)2
α tan−1(yQB∕xPB)
θ tan−1((Dy−yPW)∕(xQW−Dx))−α
OW=[xOW,yOW,0]T [Dx+xPBcosθ,yPW+xPBsinθ,0]T