Efficient feasible set characterization through Distance Field Map algorithm and its use in control

Obando, Andres F.; Muñoz, Diego A.

doi:10.1016/j.ifacol.2020.12.1563

Cited by 1 publication

(2 citation statements)

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“…The proposed definition of the feasibility set aims to provide a more comprehensive understanding of the operational boundaries and the range of variables where the desired process phenomena occur. [30] To achieve this objective, let us consider the state and input space…”

Section: Characterization Of Feasible Setmentioning

confidence: 99%

“…When processes operate under these conditions, it is less likely that disturbances will cause the process to deviate from the feasible set. [ 30 ] In other words, points located near the boundary have a lower rank in terms of feasibility. The proposed feasibility index, denoted as

{Ind}_{Φ} (u)

, is defined as follows:

{Ind}_{Φ} (u) = \frac{1}{N} {false\sum}_{k = 1}^{N} \exp [- 5 {((), \frac{{‖u - u_{k_{MA}}‖}_{2}}{r_{k_{MA}}})}^{2}]

where

N

is the number of hyperspheres that intercept the operating condition

u

.…”

Section: Recycles and Feasible Set Characterizationmentioning

confidence: 99%

See 1 more Smart Citation

Plant‐wide control for processes with recycle and narrow feasible sets

Obando,

Muñoz

2023

Can J Chem Eng

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Recycling mass and energy is a feature in almost all plants and industries. It is reported as an inevitable characteristic in actual industries due to differences between the designed processes and implementation. When a process is set, engineers identify inefficiencies in the planned performance and utilize recycles to try to reduce this difference. However, although recycles help in improving a plant's overall performance compared with a serial arrangement, its effect on dynamic plant behaviour is seldom considered, and these changes begin to impact the features of processes like controllability and stability. Similarly, even though recycles affect the feasible region of individual equipment, its effect is not verified. Based on the aforementioned background, several studies have demonstrated that advanced control strategies allow for the improvement of the dynamic behaviour of complex plants. Different techniques, such as model‐based predictive control and plant‐wide control (PWC), also show that their implementation reduces the effects of recycles. However, there is no explicit methodology to design these controllers and address the impacts of recycles on dynamic behaviour and feasibility. Additionally, there is no tuning procedure to design controllers that optimize the dynamic performance of plants, including the control system. In this context, this work presents an analysis to characterize the effects of recycles on the dynamic behaviour of plants, including how they affect the feasible operating region. Based on the previous analysis, a control methodology is also proposed to design the PWC strategy, explicitly addressing the dynamical phenomena of recycles in processes.

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Section: Characterization Of Feasible Setmentioning

confidence: 99%