Professor Bijoy K. Ghosh, gave a lecture titled “Feedback linearization and optimal control of human head rotation satisfying Donders' constraint” at AMSS on 17, June, 2016.
In this talk, they studied dynamical systems that can be applied to controlling the orientation of human head using the well-known approach of feedback linearization. They modeled head as a sphere rotating about its center, where the axes of rotation were physiologically constrained, as was originally proposed by Donders. The head movement dynamics was derived on $SO(3)$, described using the standard Newton-Euler formulation, together with an externally applied control torque. The control system so obtained was viewed as a $3$ input $3$ output system, where inputs were the control torques, two of the three outputs were coordinates of the head pointing direction and the third output was derived from the Donders' constraint. They showed that the input-output system as described, was feedback linearizable using state feedback.
He is the Dick and Martha Brooks Regents Professor of Mathematics and Statistics at Texas Tech University, Lubbock, TX, USA. He received the Donald P. Eckmann award in 1988 from the American Automatic Control Council, the Japan Society for the Promotion of Sciences Invitation Fellowship in 1997. He became a Fellow of the IEEE in 2000, and a Fellow of the International Federation on Automatic Control in 2014. Currently he is the IEEE Control Systems Society Representative to the IEEE-USA's Medical Technology Policy Committee.