Random Feedback Control for Transverse Vibration of Axially Moving Rectangular Film

It is generally believed that the control system is not subject to random interference. In fact, engineering systems are more or less subject to random interference, and it is often impossible to obtain all the information of the state, but only some incomplete information can be obtained according to the measurement equation. Based on the previous research, this paper considers the random system with noise in the system measurement device. Through Kalman filter, the linear optimal estimation of the system state is obtained according to the deterministic input of the system and the random measurement output with noise, and the estimated state is used to replace the real state of the system for linear feedback control of the axially moving rectangular membrane. By combining Kalman filter with stochastic state regulator and designing optimal state feedback at the same time, the system with measurement noise output can achieve the optimal control effect.