Control design for thermodynamic systems on contact manifolds. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Hudon, Nicolas; Guay, Martin; Dochain, Denis
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 588
• Page End: 593
• Publication Date: 2017-07
• Subjects: Thermodynamic -- Nonlinear damping feedback -- Feedback control design -- Contact geometry; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.084
• Languages: English
• ISSNs: 2405-8963

Abstract

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 Thermo-dynamic 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.