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.

Exponential Stabilisation of Port-Hamiltonian Boundary Control Systems via Energy-Shaping / Macchelli, Alessandro; Le Gorrec, Yann; Ramirez, Hector. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 65:10(2020), pp. 9126162.4440-9126162.4447. [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.
2020
Exponential Stabilisation of Port-Hamiltonian Boundary Control Systems via Energy-Shaping / Macchelli, Alessandro; Le Gorrec, Yann; Ramirez, Hector. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 65:10(2020), pp. 9126162.4440-9126162.4447. [10.1109/TAC.2020.3004798]
Macchelli, Alessandro; Le Gorrec, Yann; Ramirez, Hector
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/775563
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