On the control by interconnection and exponential stabilisation of infinite dimensional port-Hamiltonian systems

@article{Macchelli2016OnTC,
  title={On the control by interconnection and exponential stabilisation of infinite dimensional port-Hamiltonian systems},
  author={Alessandro Macchelli},
  journal={2016 IEEE 55th Conference on Decision and Control (CDC)},
  year={2016},
  pages={3137-3142}
}
This paper aims at illustrating how the control by interconnection methodology (energy-Casimir method) can be employed in the development of exponentially stabilising boundary control laws for a class of linear, distributed port-Hamiltonian systems with one dimensional spatial domain. The energy-Casimir method is the starting point to determine a state-feedback law able to shape the closed-loop Hamiltonian and achieve simple stability. Then, it is shown how to design a further control loop that… CONTINUE READING