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On a method for solving a local boundary problem for a nonlinear stationary system with perturbations in the class of piecewise constant controls
Authors:Alexander N. Kvitko  Alla M. Maksina  Sergey V. Chistyakov
Abstract:The wide class of nonlinear stationary systems of ordinary differential equations taking into account restrictions on control and external perturbation is considered. An algorithm for constructing a discrete control function that guarantees the transfer of the systems from the initial state to the origin and an arbitrary neighborhood of the origin is proposed. A constructive sufficient condition of the Kalman type, in which the specified translation is possible, is obtained. The problem of robot‐manipulator control is considered and its numerical simulation is carried out.
Keywords:boundary conditions  control functions  local null controllability  nonlinear systems  stabilization
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