Abstract

This letter investigates the design of a class of infinite-dimensional observers for one dimensional (1D) boundary controlled port-Hamiltonian systems (BC-PHS) defined by differential operators of order N ? 1. The convergence of the proposed observer depends on the number and location of available boundary measurements. Asymptotic convergence is assured for N? 1, and provided that enough boundary measurements are available, exponential convergence can be assured for the cases N=1 and N=2. Furthermore, in the case of partitioned BC-PHS with N=2, such as the Euler-Bernoulli beam, it is shown that exponential convergence can be assured considering less available measurements. The Euler-Bernoulli beam model is used to illustrate the design of the proposed observers and to perform numerical simulations. © 2017 IEEE.