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)
Files
No attached file found for this publication.
Details
Authors
Jadot, F.
Author
Bastin, GeorgesUCLouvain
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.
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)