Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations

Stabilization of the time-delay linear systems by using the static feedback is possible only for the limited value of the time delay in the control channel. In case of the exceeding such limit the further stabilization is impossible. However, the delay limit could be increased by using the number of asymptotic observers of the special kind. The basic idea lies in the equivalence of any realization of the system with certain transfer function which leads to the possibility of distribution of the delay by the several observers. Each observer has lesser delay value so overall limit is decreased. Theoretically, if there are enough observers it is possible to stabilize the system with arbitrary big delay. Moreover, such approach can improve dynamical characteristics in cases where delay value is small enough for the system to be stabilizable. The paper describes the structure and the synthesis method for such observers. The results of the experiments with the computer model are given for the demonstration of the derived regulator’s efficiency.