Optimal Design and Control by Variational Methods

Douglas, James M.; Denn, Morton M.

doi:10.1021/ie50671a006

Cited by 19 publications

(5 citation statements)

References 16 publications

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“…This system is discussed by Douglas and Denn (1965), and Wu and Wong (1980). Here q is an input variable, and c and 0 are the output variables.…”

Section: Examplementioning

confidence: 99%

Successive parameter estimation of continuous dynamic systems

Liou¹,

Chou²

1988

International Journal of Systems Science

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A successive parameter estimation of multivariable systems via the piecewise linear polynomial functions is presented. This successive parameter estimation consists of two steps: discarding the oldest data, and adding new data for updating the estimated parameters. The parameter estimation problem is reduced to algebraic form by the operational matrix concept. Two illustrative examples are presented to demonstrate the utility of this method which exhibit satisfactory results.

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“…This system is discussed by Douglas and Denn (1965), and Wu and Wong (1980). Here q is an input variable, and c and 0 are the output variables.…”

Section: Examplementioning

confidence: 99%

Successive parameter estimation of continuous dynamic systems

Liou¹,

Chou²

1988

International Journal of Systems Science

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show abstract

“…The solution to the optimal control problem lies in the maximum principle of Pontryagin, a presentation of which, with applications to optimal design and control, is given by Douglas and Denn (1965). One of the most extensive studies in this area is that of Siebenthal and Aris (1964).…”

Section: Control Systemsmentioning

confidence: 99%

On-Line Control of a Nonlinear Multivariable Process

Hutchinson¹,

McAvoy²

1973

Ind. Eng. Chem. Proc. Des. Dev.

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“…One suggested method (Douglas, Figure 3. Feedback bang-bang controllers 1966; Douglas and Denn, 1965) for determining the switching reversal at S = 0 requires applying one of the two state variable signals to an arbitrary function generator set to calculate the other state variable from Equations 13 and 14 for switching. A switch occurs when this calculated variable matches the other state variable signal.…”

Section: Synthesismentioning

confidence: 99%