Interval Estimation for Discrete- Time Linear Systems: Tracking Control Strategy

Abstract

This paper is dedicated to the problem of tracking control for discrete time linear systems. First of all we start with the synthesis of the interval observer, for a discrete linear systems with unknown but bounded measurement noises and disturbances, where two methods are used to establish the positivity of the estimation errors. Sufficient conditions in terms of Linear Matrix Inequality (LMI) are presented to calculate the observer gain. Then, using the technique of the augmented system, two systems are composed by the estimated state and the integrating comparator to establish trajectory tracking control. Finally, the performance of this approach is presented through an expository example.