Exponential stability of port-Hamiltonian systems via energy-shaped method

The traditional energy-shaped method of Port-Hamiltonian system that is based on solving partial differential equations influences the accuracy and realizability of controller. To overcome those defects, a new energy-shaped method based on the cyclo-passivity is proposed to avoid solving partial differential equations. Due to the proposed method, the exponential stability of Port-Hamiltonian has been worked out. Besides that, a relationship between the guaranteed cost control and dissipation is established for the Port-Hamiltonian system, which presents an explicit form of dissipative energy. At last, examples show the validity of the proposed contents. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.