Observer Based Controller Design for Linear Systems with Input Constraints

A systematic design method for observer based linear control of LTI systems with input constraints is introduced. The method allows to optimize the observer parameters with respect to the system’s performance while at the same time the compliance with the constraints is guaranteed. To improve the results we further propose a method to design both the controller and the observer simultaneously. Since the presented methods are based on LMI techniques they are computationally very efficient. The proposed methods are demonstrated by means of an example.