Abstract
In this note, we study the problem of designing observers for distributed parameter systems of parabolic type with sensor delay. In the work by Krstic & Smyshlyaev (2008), the case of ODE systems with sensor delay was treated and observers were derived using a backstepping method. In this note, we use a backstepping approach combined with the semigroup theory for the PDE systems mentioned above. It is shown that the sensor influence function should be chosen within some smooth functional space for observer design.
