A steady-state target calculation method based on “point” model for integrating processes

Pang, Qiang; Zou, Tao; Zhang, Yanyan; Cong, Qiumei

doi:10.1016/j.isatra.2014.11.013

Cited by 12 publications

(3 citation statements)

References 21 publications

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“…Imposing Equations forms the restrictions on MV dynamic route. Hence, applying Equation , the steady‐state prediction of integrating CV is as follows:

\begin{matrix} {right left}true \\ y_{italicss} (k) = y^{ol} (k + N| k) + (M - 1) y_{slope, ss}^{ol} (k) + (S_{N}^{u} + \frac{M - 1}{2} Ξ R^{u}) δ u_{italicss} (k) \\ = y^{ol} (k + N| k) + T^{u} δ u_{italicss} (k), \end{matrix}

where

T^{u} = S_{N}^{u} - \frac{M - 1}{2} ((), 2 I - normalΞ) R^{u}

.Remark The equation for calculating the above y ss ( k ), and the variable Δ u b ( k ), have been introduced in the work, and it is utilized by Pang et al However, these papers have not reported how to handle the constraints on Δ u b ( k ). Note that Δ u b ( k ) and δu ss ( k ) are correlated, which is not described as crucial in the existing literature.…”

Section: Steady‐state Target Calculationmentioning

confidence: 99%

“…The quadratic approximation of the comprehensive nonlinear steady‐state process model is used to develop the steady‐state predictive model in the SSTC layer by Ławryńczuk et al The integration of RTO with MPC in the presence of plant model mismatch and constraints is investigated by Marchetti et al In the work, the authors used a post‐optimality approach to analyze the effect of the uncertainty on the optimal solution of SSTC and determined their stability limits. The point model is presented by Pang et al in order to eliminate the influence of model uncertainty on SSTC.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two‐layer model predictive control for chemical process model with integrating controlled variables

Yang

Ding

2019

Can J Chem Eng

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This paper proposes an overall solution to the two‐layer model predictive control (MPC) for the integrating controlled variables in the process model. The scheme includes three modules, that is, the open‐loop prediction module, the steady‐state target calculation (SSTC) module, and the dynamic control module. Based on the real‐time output measurements and past inputs, the open‐loop prediction module predicts the future outputs in the presence of disturbances. The economic optimization of SSTC is comprised of the feasibility stage and the economics stage, considering constraints of multi‐priority ranks. The dynamic control module receives the steady‐state targets from SSTC and calculates the control signals. The optimization problems of SSTC and dynamic control operate with the same frequency. This overall method guarantees the consistency of three modules with respect to the model, the constraints, and the targets. The simulation example illustrates that steady‐state targets are adjusted dynamically after the occurrence of disturbances, and offset‐free control is achieved.

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“…Imposing Equations forms the restrictions on MV dynamic route. Hence, applying Equation , the steady‐state prediction of integrating CV is as follows:

\begin{matrix} {right left}true \\ y_{italicss} (k) = y^{ol} (k + N| k) + (M - 1) y_{slope, ss}^{ol} (k) + (S_{N}^{u} + \frac{M - 1}{2} Ξ R^{u}) δ u_{italicss} (k) \\ = y^{ol} (k + N| k) + T^{u} δ u_{italicss} (k), \end{matrix}

where

T^{u} = S_{N}^{u} - \frac{M - 1}{2} ((), 2 I - normalΞ) R^{u}

Section: Steady‐state Target Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two‐layer model predictive control for chemical process model with integrating controlled variables

Yang

Ding

2019

Can J Chem Eng

View full text Add to dashboard Cite

show abstract

“…Model predictive control, a control strategy based on optimal control concept, has been widely used in chemical process industry because of its ability to handle multi-variable constrained control problems (Mayne, 2014;Rawlings & Mayne, 0000;Yu-Geng, De-Wei, & Shu, 2013). Recent years, with the development of theory and technology of predictive control, two-layered MPC has been the mainstream technology in industrial MPC (Pang, Zou, Cong, and Wang, 2015;Pang, Zou, Zhang, and Cong, 2015). The structure of two-layered MPC is showed in Fig.…”

Section: Two-layered Model Predictive Controlmentioning

confidence: 99%