Analysis and synthesis of control systems

Minimum-time control problem for elastic and visco-elastic interaction between body and surface

A. A. Galyaev, P. V. Lysenko

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: Two minimum-time control problems are considered for the mechanical system consisting of material point and obstacle surface which interact with each other by the means of the elastic or visco-elastic spring. Interaction time interval is determined by physical conditions of contact. The dependences are studied of full interaction time and restitution coefficient on visco-elastic spring properties. The Python program is developed and the “material point–obstacle surface” system behavior modelling is conducted.

Keywords: mechanical system with impacts, Kelvin–Voigt media, minimum time control.

UDC: 517.977.5

DOI: 10.25728/pu.2018.4.2