This paper continues research of the pantograph-catenary system started in previous papers [1,2] and presented in the First International Conference on Railway Technology [3] . The main purpose of the study is to use the computer to optimize pantograph-catenary system of a high-speed train by reducing power consumption when basic parameters of pantograph and catenary (contact network) are changing in time randomly. A linear model of pantograph-catenary system is considered where the upper and lower blocks of pantograph and catenary are modelled using lumped masses, springs and shock absorbers. Input and output system signals are measured when the train moves. These signals are processed by parametric identification algorithms to determine current values of the system matrices. State matrices are used in the Riccati equation to calculate controller coefficients. Adaptive controllers provide dynamic stability of the system when its parameters are changing in time and random external perturbations are present.