The problem of "gymnast" motion controll in free and during the transition in the state of contact with the supportстатья
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Дата последнего поиска статьи во внешних источниках: 29 апреля 2021 г.
Аннотация:Annotation. The paper discusses some
aspects of the jump of a "gymnast athlete" (or "robot gymnast") from the "crossbar"from a theoretical and mechanical point of view.
All phases of the bounce in the flight case are considered. The body of the " gymnast "is
modeled by a three-link physical pendulum, but after it is detached from the
" crossbar "and the" hands " are lowered
, the two-link pendulum becomes the model of the dynamic system. For a two-link model within the mode
"kinematic" control studies the process of lowering the "hands", free
flight, exit "feet" on the support (absolutely inelastic impact) and further
control in the reference phase for vertical stabilization of the entire pendulum
system. The "kinematic" control mode means
that the angle between the links of the body can be changed instantly (within certain limits). For each of
the motion phases, convenient forms of dynamic equations describing it are found. These
equations rely on using the
kinetic moment of the system relative to various points of the body or space as one of the variables.
The order of such a system of equations is lower than the order of the complete
system. The stage of calming the "gymnast", which occurs after the release of the legs on the
the support surface is also studied on the basis of a special system of equations of
this type. Shows how to use numerical analysis to build
the region of controllability for transition of dvuhtonnoy in a state of stabilization,
corresponding to the equality of the horizontal coordinate of the support foot and the center of gravity
two-link pendulum system. The method of constructing a
stabilizing control is considered. The results of the presented analysis of the problem
allow us to build a convenient approximate model of the phenomenon as a whole, as well as
use it when controlling a robotic analog. As an example
one of the cases of movement corresponding to the anthropomorphic model is considered.