Controller and observer designs for a class of TS descriptor systems with pole placement constraint

This paper gives sufficient conditions for pole-clustering in LMI regions for a class of TS descriptor systems. First, the class of TS descriptor systems under study is discussed and it is shown to be generic. A strict LMI characterization of pole-clustering is given. Using this new characterization, the design of state-feedback controllers is proposed, in order that the finite dynamics of the closed-loop system lie in a specified LMI region. The design of observer such that the state estimation error dynamics are in a specified LMI region is also studied. Finally, an observer-based controller with pole clustering constraint on the closed-loop system is proposed. A numerical example illustrates the note