Robust global stabilisation of stirred tank reactors by saturated output feedback

Jadot, F.;Bastin, Georges;Viel, F.
(1999) European Journal of Control — Vol. 5, n° 2-4, p. 361-371 (1999)

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Authors
  • Jadot, F.
    Author
  • Bastin, Georgesorcid-logoUCLouvain
    Author
  • Viel, F.
    Author
Abstract
This paper is concerned with the robust stabilisation of a wide class of unstable processes operated in continuous stirred tank reactors, For non-isothermal reactors, the regulated output is the temperature. For isothermal reactors, the regulated output is the single concentration of either an initial reactant or a final product. In both cases the proposed control law is a dynamic output feedback which can be interpreted as a straightforward modification of a standard PI controller. In accordance with the engineering constraints, the control action is positive and saturated With this control law: it is shown that the output variable may be regulated at a prescribed set point despite a wide kinetic uncertainty. Furthermore, the controller achieves a global stabilisation of the process in its domain of physical existence. When the reactor is minimum phase, the closed loop has a single equilibrium which is globally asymptotically stable. When the reactor is non-minimum phase phase, a global practical output regulation with state boundedness is obtained with the same controller.
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Jadot, F., Bastin, G., & Viel, F. (1999). Robust global stabilisation of stirred tank reactors by saturated output feedback. European Journal of Control, 5(2-4), 361-371. https://hdl.handle.net/2078.5/140433 (Original work published 1999)