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On Process Model Order Reduction for Controller Design in Discrete Systems

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  • Dennis D. Sourlas

Abstract

This paper studies the model reduction problem with emphasis on closed loop performance. First, the admissible fixed order models are identified as the ones that are simultaneously stabilizable with the high order process. A complete parametrization of this set in terms of stable parameters that satisfy cubic equality constraints is developed. An optimization problem is then formulated so that its solution identifies the fixed order model that satisfies nominal performance specifications, it is simultaneously stabilizable with the actual process and the actual closed loop optimally satisfies the nominal performance specifications. This nonlinear, infinite dimensional optimization problem is solved by means of exact penalty functions and an asymptotic approximation procedure. An illustrative example is also presented.

Suggested Citation

  • Dennis D. Sourlas, 2000. "On Process Model Order Reduction for Controller Design in Discrete Systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 6(4), pages 425-444, December.
    • Handle: RePEc:taf:nmcmxx:v:6:y:2000:i:4:p:425-444
    DOI: 10.1076/mcmd.6.4.425.3659
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