ACTIVE COMPENSATION OF THE RANDOMNESS OF PARAMETERS OF STOCHASTIC SYSTEMS
This article is devoted to the problem of improving the accuracy of control systems with random input. The accuracy is improved by compensating for the influence of randomness of system parameters on the statistical characteristics of its output signal. The paper proposes an approach called active compensation, which consists in the formation of the adjusted random input signal that minimizes the effect of randomness of parameters of the control system. The control system is considered as a stochastic system. In the result, the statistical characteristics of the output of stochastic systems are similar to the statistical characteristics of the output of deterministic system. The algorithm for determining the mathematical expectation and correlation function of the adjusted control signal is proposed. This algorithm is based on using the averaged orthogonal-projection model of a stochastic system. This model is constructed using the methods of the theory of matrix operators. The averaged orthogonal-projection model allows solving the inverse problem in statistical formulation. The results of solving this problem are statistical characteristics of the adjusted control action. A numerical example is given to demonstrate the effectiveness of the proposed approach to compensate for the randomness of physical parameters of the electro-hydraulic vibration test stand.