Process Systems Engineering

Composite fast-slow MPC design for nonlinear singularly perturbed systems

  1. Xianzhong Chen1,
  2. Mohsen Heidarinejad2,
  3. Jinfeng Liu1,
  4. Panagiotis D. Christofides1,2,*

Article first published online: 10 APR 2012

DOI: 10.1002/aic.13798

Issue

AIChE Journal

AIChE Journal

Volume 58, Issue 6, pages 1802–1811, June 2012

Additional Information

How to Cite

Chen, X., Heidarinejad, M., Liu, J. and Christofides, P. D. (2012), Composite fast-slow MPC design for nonlinear singularly perturbed systems. AIChE J., 58: 1802–1811. doi: 10.1002/aic.13798

Author Information

  1. 1

    Dept. of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA 90095

  2. 2

    Dept. of Electrical Engineering, University of California, Los Angeles, CA 90095

*Dept. of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA 90095-1592

Publication History

  1. Issue published online: 4 MAY 2012
  2. Article first published online: 10 APR 2012
  3. Accepted manuscript online: 16 MAR 2012 11:10AM EST
  4. Manuscript Revised: 27 JAN 2012
  5. Manuscript Received: 20 NOV 2011

Funded by

  • National Science Foundation

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Keywords:

  • process control;
  • optimization;
  • simulations;
  • process dynamics

Abstract

The design of a composite control system for nonlinear singularly perturbed systems using model predictive control (MPC) is described. Specifically, a composite control system comprised of a “fast” MPC acting to regulate the fast dynamics and a “slow” MPC acting to regulate the slow dynamics is designed. The composite MPC system uses multirate sampling of the plant state measurements, i.e., fast sampling of the fast state variables is used in the fast MPC and slow-sampling of the slow state variables is used in the slow MPC. Using singular perturbation theory, the stability and optimality of the closed-loop nonlinear singularly perturbed system are analyzed. A chemical process example which exhibits two-time-scale behavior is used to demonstrate the structure and implementation of the proposed fast–slow MPC architecture in a practical setting. © 2012 American Institute of Chemical Engineers AIChE J, 58: 1802–1811, 2012

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