One-dimensional discrete LQR control of compression of the human chest impulsively loaded by fast moving point mass

This paper uncovers some interesting extension of an optimal discrete control methodology partially included in Proceedings and presented at the international conference on “Dynamical Systems Theory and Applications”. There has been applied a scheme for realisation of active control strategy with numerically estimated linear optimal quadratic index of performance in reduction of impact-induced deformation of human chest loaded by a point mass at the central point of upper-torso body. We focused on application of one active element attached between torso’s upper back (looking from posterior direction) and a fixed support. As the practical result we provide values of quality and reaction matrices, some useful deformation and energy dissipation time-characteristics and the resulting shape of control force time-characteristics that would be the demanding one for a hypothetical real implementation.