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252                             Georgios A. Bertos and Evangelos G. Papadopoulos


             Bertos (2006) and Bertos et al. (2005) identified values (for n ¼7 sub-
          jects) of the dynamic system using steady-state identification techniques.
          The variance account for VAF% of the model to the data was 85%–95%.
          The results for one representative subject are shown in Figs. 6–8 (Bertos
          et al., 2005).




                         1
                        0.9
                        0.8
                      Damping ratio zeta ( )  0.6
                        0.7
                        0.5
                        0.4
                        0.3
                        0.2
                        0.1
                         0
                          0      0.5     1     1.5      2     2.5
                                  Average walking speed v (m/s)
          Fig. 6 Estimated damping ratio zeta vs average walking speed v. (From Bertos, G.A.,
          Childress, D.S., Gard, S.A., 2005. The vertical mechanical impedance of the locomotor system
          during human walking with applications in rehabilitation. In: IEEE 9th International Con-
          ference on Rehabilitation Robotics. IEEE, New York, pp. 380–383.)


                     15,000



                    Stiffness k (N/m)  10,000



                       5000




                         0
                          0      0.5      1      1.5     2      2.5
                                   Average walking speed v (m/s)
          Fig. 7 Estimated stiffness k vs average walking speed v. (From Bertos, G.A., Childress, D.S.,
          Gard, S.A., 2005. The vertical mechanical impedance of the locomotor system during
          human walking with applications in rehabilitation. In: IEEE 9th International Conference
          on Rehabilitation Robotics. IEEE, New York, pp. 380–383.)
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