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Identification of low order manifolds: Validating the algorithm of Maas and Pope

Author(s):

C. Rhodes, M. Morari, S. Wiggins
Conference/Journal:

vol. AUT99-12
Abstract:

Dynamic models of chemical processes that are derived from first-principles tend to be of high order, yet may exhibit behavior consistent with low-order systems. Often, this characteristic behavior is the result of dynamics occurring on different time scales. The algorithm of Maas and Pope (1992) was developed as a method of identifying the invariant manifold of "slow" dynamics for this class of systems. Here it is shown rigorously for the first time that the algorithm accurately identifies the slow manifold for systems exhibiting both infinite and finite time-scale separations. Some thoughts on how the results of this algorithm can be used for forming reduced models are introduced and examples are presented.

Year:

1999
Type of Publication:

(04)Technical Report
Supervisor:



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% Autogenerated BibTeX entry
@TechReport { RhoMor:1999:IFA_1436,
    author={C. Rhodes and M. Morari and S. Wiggins},
    title={{Identification of low order manifolds: Validating the
	  algorithm of Maas and Pope}},
    institution={},
    year={1999},
    number={},
    address={},
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=1436}
}
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