Preview Tracking Control for Continuous-time Systems Based on Disturbance and Input Saturation Constraints
This paper studies the preview saturation control problem for a class of continuous-time systems with input saturation.In order to successfully construct an error system of continuous-time input saturation system,two new auxiliary variables are introduced in this paper,which are different from the previous derivation of system equations,it is possible to construct the error system of the input saturation continuous-time system by using the difference between the system state vector and the input vector and the corresponding auxiliary variable instead of the usual state derivation.Thus,the preview saturation control of the original system is transformed into the saturation control problem of the error system.In addition,for the error system of the original system,the state feedback and the static output feedback are introduced,respectively.When considering the output feedback,the input equation is modified to make full use of the future information of the previewable signal.By using Lyapunov function and LMI technique,a sufficient condition for the asymptotic stability of the closed-loop system is derived.Finally,a simulation example shows the validity of the results.