Approximate dynamic models for chemical process systems

Papadourakis, Antonis; Doherty, Michael F.; Douglas, James M.

doi:10.1021/ie00089a008

Cited by 24 publications

(19 citation statements)

References 14 publications

(16 reference statements)

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“…Let us now analyze the system under consideration given by (7). It is evident that with τ < 1 a and the parameter b large enough there is a k that stabilizes the system, since the Nyquist condition remains the same (one counterclockwise detour to the point −1).…”

Section: A Preliminary Stability Resultsmentioning

confidence: 99%

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Control of delayed recycling systems with an unstable pole at forward path

Rubio

Cuellar

Sename

2012

2012 American Control Conference (ACC)

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Unstable time delay system and recycling system pose a challenge problem in their own. When unstable time delay system have recycle the control problem becomes even more difficult. A control methodology for these systems is proposed in this paper. The strategy is based on the observation that if some internal system were available, then it would be possible to decouple the backward dynamics and then a feedback controller could be designed for the forward dynamics. The key for this strategy to be carried out is the asymptotic observerpredictor proposed to estimate the required internal signals. Necessary and sufficient conditions to assure convergence of this observer are given. Then, the strategy is complemented by using a PID controller with two degree of freedom in order to track step input references. Robustness to delay uncertainty is also discussed.

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Section: A Preliminary Stability Resultsmentioning

confidence: 99%

“…Model approximation has been proposed to remove the exponential terms from the J.F. Marquez transfer function denominator of a delayed system, such as the method of moments [7], and Pade approximations [8].…”

Section: Introductionmentioning

confidence: 99%

Control of delayed recycling systems with an unstable pole at forward path

Rubio

Cuellar

Sename

2012

2012 American Control Conference (ACC)

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“…The full-order linear model which represents a two inputs -two outputs plant in equation in (8) can be expressed as a reduced order linear model as in [10][11]:…”

Section: Linearization Of the Distillation Processmentioning

confidence: 99%

Modeling and Adaptive Control Simulation for a Distillation Column

Minh

Pumwa

2012

2012 UKSim 14th International Conference on Computer Modelling and Simulation

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This paper presents mathematical modeling and adaptive control simulation for a distillation column based on the energy balance configuration. In this distillation modeling, the reflux rate L and the boilup rate V are used as the inputs to control the purity of the distillate overhead and the impurity of the bottom products. The mathematical modeling and simulation is accomplished over three stages: Nonlinear system; Linearization; and Reduced order system. The adaptive control is used with linear model reference controller (LMRC). Results from the simulation are helpful for initial steps of a petroleum project feasibility study and design.

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“…[7]. Model approximations have been proposed to remove the exponential terms from the transfer function denominator of a delayed system, such as the method of moments [8] or Pade approximations [9]. It is known that when recycle path and time delays occur, exponential terms appear in the direct and the recycling paths.…”

Section: Introductionmentioning

confidence: 99%

Stabilization and Control of Delayed Recycling High Order Systems with one Unstable Pole at the Direct Path

Márquez‐Rubio¹,

Guerra²,

Muro-Cuéllar³

et al. 2015

Asian Journal of Control

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In this work the stabilization and control of delayed recycling systems is addressed. Recycling systems are characterized by possessing two main paths, named the direct (feedforward) and the recycling (feedback) paths. Such class of systems reuse the energy and/or the partially processed matter increasing the efficiency of the overall process. A control methodology is proposed for the stabilization and control of this kind of system. The particular class of systems addressed here contains one unstable pole, m stable poles, a delay term and possible p left half plane (LHP) zeros in the direct path and a delayed stable subsystem in the recycling path. The strategy is based on an asymptotic observer-predictor to estimate the required internal signals. Necessary and sufficient conditions are stated in order to guarantee the stabilization of the proposed scheme, achieving step tracking and step disturbance rejection.

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Approximate dynamic models for chemical process systems

Cited by 24 publications

References 14 publications

Control of delayed recycling systems with an unstable pole at forward path

Control of delayed recycling systems with an unstable pole at forward path

Modeling and Adaptive Control Simulation for a Distillation Column

Stabilization and Control of Delayed Recycling High Order Systems with one Unstable Pole at the Direct Path

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