A bicycle-rider system (man cycling system) is shown below with different parameters. CHE Of which, Fig.1. A man riding the bicycle with different parameters Mathematical model of bicycle rider system can be described by the following differential equations 1 4 -Vr +y+, -0+1, - J.- (m/h, + mh)g (1+1+m h+mh) (m,h+1, ) h h (1, +1, +m_k + mh) Jel Jo mh m/h,+mh v-y + (0+1M.)