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Numerical Analysis pp 86–102Cite as

Optimization of multistage processes described by differential-algebraic equations

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1230))

Abstract

The paper describes an algorithm for the computation of optimal design and control variables for a multistage process, each stage of which is described by a system of nonlinear differential-algebraic equations of the form:

$$f(t,\dot x(t),x(t),u(t),v) = 0$$

where t is the time, x(t) the state vector, \(\dot x(t)\) its time derivative, u(t) the control vector, and v a vector of design parameters. The system may also be subject to end-point or interior-point constraints, and the switching times may be explicitly or implicitly defined. Methods of dealing with path constraints are also discussed.

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References

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Author information

Authors and Affiliations

  1. Imperial College, London

    K. R. Morison & R. W. H. Sargent

Authors
  1. K. R. Morison
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  2. R. W. H. Sargent
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Jean-Pierre Hennart

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© 1986 Springer-Verlag

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Morison, K.R., Sargent, R.W.H. (1986). Optimization of multistage processes described by differential-algebraic equations. In: Hennart, JP. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072673

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  • DOI: https://doi.org/10.1007/BFb0072673

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17200-0

  • Online ISBN: 978-3-540-47379-4

  • eBook Packages: Springer Book Archive

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