This paper is concerned with the exponential stabilisation of a class of linear boundary control systems (BCS) in port-Hamiltonian form through energy-shaping. Starting from a first feedback loop that is in charge of modifying the Hamiltonian function of the plant, a second control loop that guarantees exponential convergence to the equilibrium is designed. In this way, a major limitation of standard energy-shaping plus damping injection control laws applied to linear port-Hamiltonian BCS, namely the fact that only asymptotic convergence is assured, has been removed.
Macchelli, A., Le Gorrec, Y., Ramirez, H. (2020). Exponential Stabilisation of Port-Hamiltonian Boundary Control Systems via Energy-Shaping. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 65(10), 4440-4447 [10.1109/TAC.2020.3004798].
Exponential Stabilisation of Port-Hamiltonian Boundary Control Systems via Energy-Shaping
Macchelli, Alessandro
Membro del Collaboration Group
;
2020
Abstract
This paper is concerned with the exponential stabilisation of a class of linear boundary control systems (BCS) in port-Hamiltonian form through energy-shaping. Starting from a first feedback loop that is in charge of modifying the Hamiltonian function of the plant, a second control loop that guarantees exponential convergence to the equilibrium is designed. In this way, a major limitation of standard energy-shaping plus damping injection control laws applied to linear port-Hamiltonian BCS, namely the fact that only asymptotic convergence is assured, has been removed.| File | Dimensione | Formato | |
|---|---|---|---|
|
exponential stabilisation post print.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
429.16 kB
Formato
Adobe PDF
|
429.16 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
