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Dynamic Modelling and Model Predictive Control of a Continuous Pulp Digester
  • Lu Zhang,
  • Junyao Xie,
  • Stevan Dubljevic
Junyao Xie
University of Alberta
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Stevan Dubljevic
University of Alberta
Author Profile


This work explores the model predictive controller design of the continuous pulp digester process consisting of the co-current zone and counter-current zone modelled by a set of nonlinear coupled hyperbolic partial differential equations (PDE). The distributed parameter system of interest is not spectral and slow-fast dynamic separation does not hold. To address this challenge, the nonlinear continuous-time model is linearized and discretized in time utilizing the Cayley-Tustin discretization framework, which ensures system theoretic properties and structure preservation without spatial discretization or model reduction. The discrete model is used in the full state model predictive controller design, which is augmented by the Luenberger observer design to achieve the output constrained regulation. Finally, a numerical example is provided to demonstrate the feasibility and applicability of the proposed controller designs.

Peer review status:Published

12 Aug 2021Submitted to AIChE Journal
15 Aug 2021Submission Checks Completed
15 Aug 2021Assigned to Editor
19 Aug 2021Reviewer(s) Assigned
05 Oct 2021Editorial Decision: Revise Major
02 Nov 20211st Revision Received
04 Nov 2021Submission Checks Completed
04 Nov 2021Assigned to Editor
06 Nov 2021Reviewer(s) Assigned
16 Nov 2021Editorial Decision: Accept
02 Dec 2021Published in AIChE Journal. 10.1002/aic.17534