Economics Optimizing Control with Model Mismatch Based on Modifier Adaptation

Hernández, Reinaldo; Engell, Sebastian

doi:10.1016/j.ifacol.2019.06.035

Cited by 8 publications

(5 citation statements)

References 23 publications

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“…FHOCP (20)(21)(22)(23)(24)(25)(26)27) k Algorithm 1 Offset-free eMPC algorithm using Broyden's update.…”

Section: Of-empc Algorithm Using Broyden's Updatementioning

confidence: 99%

“…These methods are the ones that better replicate the concept of steadiness of RTO iterations. On the other hand, it might be advantageous with slow processes to use transient data and estimate steady-state gradients on the go [22][23][24]. In this case, we speak of dynamic perturbation methods, which exhibit a compromise between convergence speed and accuracy.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, we speak of dynamic perturbation methods, which exhibit a compromise between convergence speed and accuracy. Concretely, gradient approximations are computed using either a finite-difference approach (see [10] for an overview of available approaches) or some type of system identification [21,24,25]. Exploiting the so-called directional modifier-adaptation concept [20], recent works have shown how privileged directions can ease gradient estimation-thereby making the approach more reactive to plant-model mismatch [26,27]-and how these directions can be computed efficiently [28].…”

Section: Introductionmentioning

confidence: 99%

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Offset-Free Economic MPC Based on Modifier Adaptation: Investigation of Several Gradient-Estimation Techniques

et al. 2021

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Various offset-free economic model predictive control schemes that include a disturbance model and the modifier-adaptation principle have been proposed in recent years. These schemes are able to reach plant optimality asymptotically even in the presence of plant–model mismatch. All schemes are affected by a major issue that is common to all modifier-adaptation formulations, namely, plant optimality (note that convergence per se does not require perfect plant gradients) requires perfect knowledge of static plant gradients, which is a piece of information not known in most practical applications. To address this issue, we present two gradient-estimation techniques, one based on Broyden’s update and the other one on linear regression. We apply these techniques for the estimation of either the plant gradients or the modifiers directly. The resulting economic MPC schemes are tested in a simulation and compared on two benchmark examples of different complexity with respect to both convergence speed and robustness to measurement noise.

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“…FHOCP (20)(21)(22)(23)(24)(25)(26)27) k Algorithm 1 Offset-free eMPC algorithm using Broyden's update.…”

Section: Of-empc Algorithm Using Broyden's Updatementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Offset-Free Economic MPC Based on Modifier Adaptation: Investigation of Several Gradient-Estimation Techniques

et al. 2021

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“…To guarantee the excitation needed, a random signal was included during a period of time, increasing the convergence time of the algorithm. Then, Hernández and Engell (2019) presented another formulation of an economic controller based on MA where the corrections are made in the nominal dynamic plant model instead of the objective function. They identified linear dynamic models to approximate the true plant input-output map and then calculate the plant gradients.…”

Section: Introductionmentioning

confidence: 99%

Economic MPC with Modifier Adaptation using Transient Measurements

Oliveira-Silva

Prada

Navia

2021

31st European Symposium on Computer Aided Process Engineering

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“…Then, Hernández and Engell (2019) As can be seen from the aforementioned papers, the investigation of how to correctly estimate the process gradients/modifiers to be used in a framework for…”

Section: Unification Rto + Mpc + Mamentioning

confidence: 99%

Integration of economic MPC and modifier adaptation in slow dynamic processes with structural model uncertainty

Oliveira da Silva

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Economics Optimizing Control with Model Mismatch Based on Modifier Adaptation

Cited by 8 publications

References 23 publications

Offset-Free Economic MPC Based on Modifier Adaptation: Investigation of Several Gradient-Estimation Techniques

Offset-Free Economic MPC Based on Modifier Adaptation: Investigation of Several Gradient-Estimation Techniques

Economic MPC with Modifier Adaptation using Transient Measurements

Integration of economic MPC and modifier adaptation in slow dynamic processes with structural model uncertainty

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