OUTPUT CONTROL BY LINEAR TIME-VARYING SYSTEMS USING PARAMETRIC IDENTIFICATION METHODS

Abstract

The problem of control for time-varying linear systems by the output (i.e. without measuring the vector of state variables or derivatives of the output signal) was considered. For the control design, the well-known online procedure for solving the Riccati matrix differential equation is chosen. For synthesis of the observer of state variables, a new approach is proposed, providing the possibility of obtaining monotonous estimates of convergence with the regulation of transition time. The main idea of the synthesis of observers is based on the transformation of the original dynamic system to a linear regression model containing unknown parameters, which in turn were functions of the initial conditions of the state variables of the control object. Then the DREM algorithm is used to estimate the state variables. Some simulations on Matlab/Simulink prove the correctness of the theory built, ensuring the good quality of the response processes.