On the Numerical Solution of Discounted Economic NMPC on Infinite Horizons

Würth, Lynn; Wolf, Inga J.; Marquardt, Wolfgang

doi:10.3182/20131218-3-in-2045.00033

Cited by 7 publications

(4 citation statements)

References 18 publications

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“…In the existing EMPC results, the closed-loop stability of EMPC has been primarily addressed using three approaches: infinite horizons (e.g., Würth et al, 2009;Huang et al, 2011;Diehl et al, 2011;Würth et al, 2013), terminal constraints or costs (e.g, Diehl et al, 2011;Amrit et al, 2011;Angeli et al, 2012;Fagiano and Teel, Contents 2013; Müller et al, 2013Müller et al, , 2014 and Lyapunov-based constraints (e.g., Ellis and Christofides, 2014a;Zhang et al, 2014;Christofides, 2014b, 2014c). When an infinite horizon is used in the EMPC design, approaches that cast the infinite-horizon EMPC optimization problem into a finite-time or finite-dimension optimization problem have to be used.…”

Section: Introductionmentioning

confidence: 99%

“…When an infinite horizon is used in the EMPC design, approaches that cast the infinite-horizon EMPC optimization problem into a finite-time or finite-dimension optimization problem have to be used. One such approach is to multiply a discount profit factor to the economic cost function (Würth et al, 2009;Würth et al, 2013). In Huang et al (2011), a similar discount factor in discrete-time model was used in EMPC for processes with cyclic steady-state behavior.…”

Section: Introductionmentioning

confidence: 99%

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Economic MPC with terminal cost and application to an oilsand primary separation vessel

Liu

Zhang

Liu

2015

Chemical Engineering Science

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Economic MPC with terminal cost and application to an oilsand primary separation vessel

Liu

Zhang

Liu

2015

Chemical Engineering Science

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“…Previous results on EMPC can be classified into three categories: EMPC with infinite horizons, EMPC with terminal constraints or costs, and Lyapunov‐based EMPC . When an infinite horizon is used in the EMPC design, approaches that cast the infinite‐horizon EMPC optimization problem into a finite‐time or finite‐dimension optimization problem must be used . In a study by Angeli et al, a point‐wise terminal constraint has been used to ensure the closed‐loop's stability and performance.…”

Section: Introductionmentioning

confidence: 99%

Economic MPC of deep cone thickeners in coal beneficiation

2016

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The thickener is an important operating unit in a coal handling and preparation plant (CHPP). The optimal control and operation of the thickener is critical for the efficiency and economics of a CHPP. In this work, we apply a computationally efficient economic model predictive controller (EMPC) to a deep cone thickener and compare its performance to a proportional-integral controller and a regular model predictive controller (MPC). Based on a detailed model of the deep cone thickener that is appropriate for controller design purpose, the three control designs are compared on different aspects, including average water recovery rate and controller execution time, via extensive simulations. The robustness of the EMPC is also investigated in the presence of random disturbances in feed flow rate. The results demonstrate that the EMPC has the potential to significantly improve water recovery rate compared to the proportional-integral control and the regular MPC.

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“…The stability proof is supported by a Lipschitz continuous property, plus an assumption on the weak controllability of the cyclic steady state. Different strategies for the infinite-horizon EMPCs have also been proposed in [40,19,27,26,41,30]. However, these are only the preliminary results or EMPC alike formulations, thus will not be given a review herein.…”

Section: Introductionmentioning

confidence: 99%

Economic Model Predictive Control - A Review

Tran¹,

Linga²,

Maciejowski³

2014

Proceedings of the International Symposium on Automation and Robotics in Construction (IAARC)

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-Leveraging the advanced estimation and control algorithms for power systems have always been associated with the renewable energy sources, rational power generation, consumer stimulus, emission reduction, as well as economically viable objectives. The model predictive control (MPC) strategies, that employ an economic-related cost function for real-time control, has lately proved a numerically efficient approach to managing the portfolio of energy usage in various residential and industrial projects. They are designated as economic MPCs, whose main endeavour is to cope with regularly changing energy prices. Unlike the traditional MPCs, economic MPCs optimize the process operations in a time-varying fashion, rather than maintain the process variables around a few desired steady states. The process may thus totally operate in the transient state with economic MPCs. This paper provides a rigorous review on the developed and progressive economic MPCs, as a contribution to the field while it is still in its infancy. In the second part of the paper, we briefly show the potential of applying the quadratic dissipativity constraint, previously introduced, to the closedloop stability problem of an economic MPC problem.

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On the Numerical Solution of Discounted Economic NMPC on Infinite Horizons

Cited by 7 publications

References 18 publications

Economic MPC with terminal cost and application to an oilsand primary separation vessel

Economic MPC with terminal cost and application to an oilsand primary separation vessel

Economic MPC of deep cone thickeners in coal beneficiation

Economic Model Predictive Control - A Review

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