Output tracking for a 1-D heat equation with non-collocated configurations

In this paper, we are concerned with output tracking for a one-dimensional heat equation where both disturbance and performance output are non-collocated to the controller. The method of trajectory planning is used to overcome the difficulties caused by these non-collocated configurations. An observer based output feedback law is designed by using only the tracking error between performance output and reference signal. Exponential convergence of tracking error and uniform boundedness of state of the whole closed-loop system are obtained. These theoretical results are validated by numerical simulations. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.