Engineering Science and Technology, an International Journal (Jul 2024)

Full-state feedback LQR with integral gain for control of induction heating of steel billet

  • Sohaibullah Zarghoon,
  • Samuel Emebu,
  • Radek Matušů,
  • Cyril Belavý,
  • Lukáš Bartalský,
  • Stanislav Ďuriš,
  • Sabir Husnain,
  • Clara Mendoza Martinez

Journal volume & issue
Vol. 55
p. 101721

Abstract

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Induction heating is widely used in industrial furnaces due to its rapid response and energy efficiency. Computer-aided modelling and simulation are necessary for the design and optimisation of these furnaces. This article focuses on modelling and simulating induction heating of a one-dimensional spatial partial differential model for a rectangular carbon steel billet. The simulation considered temperature dynamics, including the skin effect and heat loss via radiation. The partial differential model was converted into a state-space model for designing a full-state feedback Linear Quadratic Regulator (LQR) with integral action. This controller was effectively applied to regulate the billet’s core temperature from 1000 °C to 1200 °C, under different input, R and state, Q, weighing matrices for the LQR, as well as in the presence of disturbances.

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