Output regulation of two-time-scale hyperbolic PDE systems

Wei Wu, Ching Tien Liou

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This paper addresses the output regulation of flow systems described by a class of two-time-scale nonlinear PDE systems. Within the framework of singular perturbation, the reduced-order slow model comprised of first-order PDEs coupled with ODEs is obtained. Based on the numerical approximation technique and the solvability of an inertial manifold, the finite-dimensional nonlinear model with nonlinear input is developed in this paper. Extending from the geometric control method, the non-distributed nonlinear controller can be synthesized. A combination of the state-space internal model control scheme, the reduced observer-based controller can asymptotically attenuate the effect of external disturbances. Finally, the developed methodologies are successfully applied to the development of a PFR system asscociated with the cooling coil apparatus.

Original languageEnglish
Pages (from-to)637-647
Number of pages11
JournalJournal of Process Control
Volume11
Issue number6
DOIs
Publication statusPublished - 2001 Dec 1

Fingerprint

Hyperbolic PDEs
Output Regulation
Time Scales
Inertial Manifolds
Internal Model Control
Controller
Controllers
Nonlinear PDE
Singular Perturbation
Coil
Numerical Approximation
Nonlinear Model
Solvability
Cooling
Nonlinear systems
Observer
State Space
Disturbance
First-order
Methodology

All Science Journal Classification (ASJC) codes

  • Process Chemistry and Technology
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering

Cite this

Wu, Wei ; Liou, Ching Tien. / Output regulation of two-time-scale hyperbolic PDE systems. In: Journal of Process Control. 2001 ; Vol. 11, No. 6. pp. 637-647.
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Output regulation of two-time-scale hyperbolic PDE systems. / Wu, Wei; Liou, Ching Tien.

In: Journal of Process Control, Vol. 11, No. 6, 01.12.2001, p. 637-647.

Research output: Contribution to journalArticle

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