College Physics ›› 2019, Vol. 38 ›› Issue (10): 1-.doi: 10.16854 /j.cnki.1000-0712.180691

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Teaching control theory in physics: the port-Hamiltonian framework

LIU Chang   

  1. 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:2018-12-19 Revised:2019-04-02 Online:2019-10-20 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.

Key words: physics-based control, port-Hamiltonian, control education in physics