The Robust Controller for Uncertain Linear Systems with Multiple Time Delays Based on State Observer

The problem of robust control for linear systems with multiple time delays and parameter uncertainty has been discussed in this paper. The analysis result of robust control is obtained for the system based on state observer which is quadratic stabilizability and given a linear immemorial state feedback from interference input to control output. Using terms of linear matrix inequations, the sufficient conditions for the existence of robust controllers for uncertain linear systems are given. The design method of robust controllers and state observer for this system is given.The linear memoryless feedback control law is constructed by solving a certain algebraic Riccati matrix equation.