Control Strategy for Time-Delay Systems

Chapter Six: Observability and observer design of time-delay linear systems with unknown inputs

Francisco Javier Bejarano^a; Gang Zheng^b    aSEPI, ESIME Ticomán, Instituto Politécnico Nacional, Mexico City, Mexico^bDefrost, INRIA - Lille Nord Europe, Lille, France

Abstract

In this chapter, we present a study of the observability problem of a general class of linear time-delay systems affected by unknown inputs. We give two different notions of observability. The unknown input observability (UIO) allows us to reconstruct the trajectories of the system by using past, present, and future values of the system output, or in other words, the reconstruction comes with time delay. Thus we introduce the backward UIO, in which the state reconstruction is allowed ...