LQR PI Controller Design for First-Order Time-Delay Systems

Abstract

In this paper, a linear quadratic regulator-based PI controller is designed to control the first-order time-delay systems. In most of the linear systems, the time delay is commonly found and this delay causes the performance of the system to deteriorate. So to achieve the good performance having delay, need to find the optimal PI controller gains. For this purpose, in this paper PI controller gains are find out by using the LQR, it gives the optimal gain values. In the design of LQR-based PI controller, the selection of Q matrices plays a vital role. So a skew symmetric matrix-based feedback gain matrix is used in selection of Q matrices. The proposed method is validated through various simulation examples. The results are compared to other existing techniques to show the better performance of the proposed method.