LQG optimum controller design and simulation base on inter model control theory

Abstract

Base on the traditional internal model control(IMC) principle, the linear quadric Gauss optimal control(LQG) was adopted into the IMC construct in this article. Considering system random noise and measurement noise, based on the system performance index, the process model state feedback controller(LQ) and Kalman filter was designed, Thus the system controller is LQG controller which consist of LQ with Kalman filter and IMC controller, and has the advantages of LQG optimum control and tradition IMC. The simulation shows that this new method can overcome the influence of the parameter variation and system noise of the controlled object with time delay on control performance, and has strong robustness and good stability. In addition, the proposed method is easy to regulate, and it is fit for engineering applications.