H∞ preview control for a class of continuous-time system with actuator saturation

Abstract

This paper discusses the [Formula: see text] preview control problem for a class of continuous-time systems with actuator saturation. Firstly, an integrator auxiliary variable is introduced to merge the preview compensation term based on the future reference trajectory to the state variable of error system (ES). The tracking control problem is transformed into a standard [Formula: see text] controller design problem. Meanwhile, the indirect function of the actuator saturation is employed to overcome the saturation constraint in the closed-loop system. By using Lyapunov function and linear matrix inequality (LMI), the exist conditions of controller are established. And for the original system, the tracking controller with preview action is designed. Finally, an example on an L-1011 aircraft is given to show the effectiveness and superiority of recommended strategy in tracking and saturation control.