Health-aware Model Predictive Control of Pasteurization Plant

Pour, Fatemeh Karimi; Puig, Vicenç; Ocampo‐Martínez, Carlos

doi:10.1088/1742-6596/783/1/012030

Cited by 6 publications

(6 citation statements)

References 14 publications

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“…Remark 1. In case that cost index (7) is not a quadratic function, the resulting optimization problem would not lead to a quadratic optimization problem. To overcome this difficulty, the nonlinear function should be transformed into a quadratic form with varying parameters.…”

Section: Definitionmentioning

confidence: 99%

“…By following References 4,29, stability of NEMPC schemes requires imposing a constraint region on the terminal state instead of a point constraint (16f) and adding a penalty on the terminal state in the cost function (7). Hence, the economic objective function is defined as…”

Section: Stability Analysismentioning

confidence: 99%

“…In this process, the goal is to heat and preserve the product, which is typically a liquid, at a predetermined temperature during a minimum established period of time. 7…”

Section: Control-oriented Modelmentioning

confidence: 99%

“…Another way to deal with NMPC is to represent the system behavior by means of (quasi)-linear parameter varying (LPV) models. 7 Using this approach, the on-line linearization is avoided in contrast with the RTI approach. But the LPV model can be transformed into an LTV model by using an estimation of the scheduling variables taking the current state and the control sequence determined in the previous MPC iteration along the prediction horizon as in RTI, leading also to an LTV-based MPC-related optimization problem able to be efficiently solved through LP/QP approaches.…”

Section: Introductionmentioning

confidence: 99%

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Economic model predictive control of nonlinear systems using a linear parameter varying approach

Karimi‐Pour

Puig

Ocampo‐Martínez

2021

Intl J Robust & Nonlinear

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This article proposes an economic model predictive control (EMPC) approach for linear parameter varying (LPV) systems. An efficient implementation of the associated MPC optimization problem is introduced based on transforming the LPV model into a linear time-varying one by using an estimation of the scheduling variables along the prediction horizon. This estimation is based on the optimal states/inputs determined from the solution of the previous optimization problem while running the receding horizon strategy. Using this approach, the solution of the proposed LPV-based EMPC scheme would be possible by solving a series of quadratic programming problems at each time instant. This approach allows reducing the computational burden compared with the solution of a nonlinear optimization problem that would result naturally from the LPV-based formulation. The stability of the proposed approach is guaranteed by forcing the terminal state to converge towards the optimal equilibrium/working point of the system. Moreover, the terminal constraint is relaxed by using a constraint set around the terminal state instead of a constraint value and adding a penalty on the terminal state into the cost function. Besides, strict dissipativity is established as a sufficient condition to prove stability. Finally, the effectiveness of the LPV-based EMPC strategy is shown by controlling a small-scale pasteurization system in simulation. The comparison between the proposed control approach and standard MPC approaches is performed. Results show the advantages of the proposed LPV-based EMPC controller in terms of economic cost minimization.

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Section: Definitionmentioning

confidence: 99%

Section: Stability Analysismentioning

confidence: 99%

“…In this process, the goal is to heat and preserve the product, which is typically a liquid, at a predetermined temperature during a minimum established period of time. 7…”

Section: Control-oriented Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Economic model predictive control of nonlinear systems using a linear parameter varying approach

Karimi‐Pour

Puig

Ocampo‐Martínez

2021

Intl J Robust & Nonlinear

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“…Pereira et al in [6] proposed a MPC approach that distribute the loads among redundant actuators. Karimi Pour et al [7] designed a health-aware MPC controller that includes a fatigue-based prognosis approach to minimize the damage of components.…”

Section: Introductionmentioning

confidence: 99%

Health-aware LPV-MPC Based on System Reliability Assessment for Drinking Water Networks

Pour¹,

Puig²,

Cembraño³

2018

2018 IEEE Conference on Control Technology and Applications (CCTA)

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This paper proposes a health-aware model predictive control (MPC) for drinking water networks that includes an additional goal to extend the components and system reliability. The components and system reliability are incorporated in the MPC model as an extra parameter varying equation that considers the control action as a scheduling variable. The main goal of this work is to exhibit the advantage of taking into account system and component reliability, computed on-line by means of an LPV-MPC algorithm through an instance dedicated to DWNs. The proposed control approach allows the controller to accommodate to the parameter changes. By computing an estimation of the state variables during prediction, the MPC model can be modified considering the estimated state evolution at each time instant. Moreover, the solution of the optimization problem associate to the MPC problem is achieved by solving a series of Quadratic Programs (QP) at each sampling time. A small part of a real water network is used as a case study for illustrating the performance of the proposed approach.

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Advances in Dairy Engineering Research Across the Globe

Warrier

2020

Dairy Processing: Advanced Research to Applications

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Health-aware Model Predictive Control of Pasteurization Plant

Cited by 6 publications

References 14 publications

Economic model predictive control of nonlinear systems using a linear parameter varying approach

Economic model predictive control of nonlinear systems using a linear parameter varying approach

Health-aware LPV-MPC Based on System Reliability Assessment for Drinking Water Networks

Advances in Dairy Engineering Research Across the Globe

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