TY - GEN
T1 - On Structural Invariants in the Energy Based Control of Port-Hamiltonian Systems with Second-Order Hamiltonian
AU - Rams, Hubert
AU - Schöberl, Markus
PY - 2017/6/29
Y1 - 2017/6/29
N2 - This paper deals with the energy based control of infinite-dimensional port-Hamiltonian systems, by exploiting structural invariants—so-called Casimir functionals—of the closed loop system. We confine ourselves to port-Hamiltonian systems, modeled within a jet-space approach, with one dimensional spatial domain and 2nd-order Hamiltonian. Therefore, the concept of structural invariants is extended from systems with 1st-order Hamiltonian to systems with 2nd-order Hamiltonian. To demonstrate the capability of this closed loop control methodology, a boundary controlled Euler-Bernoulli beam is used. Finally, simulation results conclude the paper.
AB - This paper deals with the energy based control of infinite-dimensional port-Hamiltonian systems, by exploiting structural invariants—so-called Casimir functionals—of the closed loop system. We confine ourselves to port-Hamiltonian systems, modeled within a jet-space approach, with one dimensional spatial domain and 2nd-order Hamiltonian. Therefore, the concept of structural invariants is extended from systems with 1st-order Hamiltonian to systems with 2nd-order Hamiltonian. To demonstrate the capability of this closed loop control methodology, a boundary controlled Euler-Bernoulli beam is used. Finally, simulation results conclude the paper.
UR - https://www.scopus.com/pages/publications/85027053171
U2 - 10.23919/ACC.2017.7963106
DO - 10.23919/ACC.2017.7963106
M3 - Conference proceedings
T3 - Proceedings of the American Control Conference
SP - 1139
EP - 1144
BT - Proceedings of the Amercian Control Conference (ACC) 2017, Seattle, WA, USA
ER -