Analytical synthesis of state observer for time-varying dynamic system in the presence of signal perturbations

Abstract

© 2017 IEEE. The problem of the analytical synthesis of reduced order state observer for dynamic system, which is exposed to signal and parametric perturbations, has been considered. The conditions under which it is possible to build a nonlinear observer with an estimation error of the state vector, which asymptotically tends to zero, have been formulated. Formulas for calculation the matrix coefficients of the observer based on the use of matrix canonization technology have been obtained. An algorithm for observer synthesis, the efficiency of which is confirmed by methodological example, has been proposed.