Teaching control theory in physics: the port-Hamiltonian framework

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  • 1. School of Naval Architecture,Ocean & Civil Engineering,Shanghai Jiao Tong University,Shanghai200240,China; 2. Whiting School of Engineering,Johns Hopkins University,Baltimore21218,U.S.A

Received date: 2018-12-19

  Revised date: 2019-04-02

  Online published: 2019-11-14

Abstract

The control theory has wide application and is also important in physics teaching. Based on the formalism of Hamiltonian mechanics,the port-Hamiltonian framework provides a physics-based control strategy. This framework is also promising in teaching control theory in physics. In this paper,we employ the port - Hamiltonian framework to reformulate some classical physics systems and introduce the resulting physics - based control strategies,including the energy,dissipation and structure assignments. The closed-loop Hamiltonian is thus a candidate of Lyapunov function,which achieves the ( asymptotic) stability. The introduced physics-based control strategies are demonstrated using the Duffing oscillator and the Lorenz system. We also provide port-Hamiltonian descriptions for two examples in celestial mechanics.

Cite this article

LIU Chang . Teaching control theory in physics: the port-Hamiltonian framework[J]. College Physics, 2019 , 38(10) : 1 . DOI: 10.16854 /j.cnki.1000-0712.180691

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