Proportional observer design for port Hamiltonian systems using the contraction analysis approach

Observer design for a class of irreversible port Hamiltonian systems

“…Now, consider the manifold P and denote Z = x2 − x 2 . By using (12), we compute the derivative of Z along ( 5) and (13). We…”

“…Hence, the need to estimate the unknown part of the vector state is of great interest. For PHS many research papers have been developed to investigate the observer design problem [8][9][10][11][12]. In [10,11], an observer design method based on passivation of the error dynamics is presented.…”

“…By combining the interconnection and damping assignment method and the dissipativity theory, two observer design strategies are proposed in [8]. In [12], a full order observer design method based on contraction analysis is suggested for a particular class of PHS. For the class of systems considered in this paper (IPHS) regarding the control, a globally stabilizing controller preserving the IPHS structure in closed loop is proposed in [13] and [14].…”