Control design for thermodynamic systems on contact manifolds

Hudon, Nicolas;Guay, Martin;Dochain, Denis
(2017)

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  • Hudon, Nicolas
    Author
  • Guay, Martin
    Author
  • Dochain, DenisUCLouvain
    Author
Abstract
We consider the problem of feedback control design for thermodynamic systems. Following past contributions, we consider the expression of closed-loop control in the Thermodynamic Phase Space (TPS) using contact geometry. Some of these past contributions identified restricted classes of admissible controllers by restricting the dynamics to a Legendre submanifold in the TPS. In this paper, we consider the problem of controlling a system through damping feedback control. By allowing this particular class of feedback design technique, we characterize the impact of control on the thermodynamic structure of the closed-loop system in the TPS.An example is considered to illustrate the proposed construction.
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Hudon, N., Guay, M., & Dochain, D. (2017). Control design for thermodynamic systems on contact manifolds. IFAC-PapersOnLine, 50, 588-593. https://doi.org/10.1016/j.ifacol.2017.08.084 (Original work published 2017)