A robust infinite-horizon optimal control approach to climate economics

An infinite-horizon optimal control paradigm is proposed to model the global energy transition to zero-net emissions when carbon dioxide removal (CDR) and electric fuel (E-Fuel) technologies become available. Infinite-horizon optimal trajectories for convex systems are often characterized by global...

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Published in:Central European journal of operations research Vol. 33; no. 2; pp. 499 - 528
Main Authors: Babonneau, Frédéric, Haurie, Alain, Vielle, Marc
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01.06.2025
Subjects:
Alternative energy
Asymptotic properties
Availability
Biomass energy
Carbon dioxide
Carbon dioxide removal
Climate policy
Fuels
Mathematical programming
Optimal control
Robust control
Sustainability
Trajectory optimization
ISSN:1435-246X, 1613-9178
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Abstract An infinite-horizon optimal control paradigm is proposed to model the global energy transition to zero-net emissions when carbon dioxide removal (CDR) and electric fuel (E-Fuel) technologies become available. Infinite-horizon optimal trajectories for convex systems are often characterized by global asymptotic stability, where an attractor exists, which is defined as an extremal steady state. In our approach, this asymptotic attractor, known as the ‘turnpike’, represents a sustainable future with zero net emissions. The turnpike can be obtained by solving an “implicit” mathematical programming problem where we introduce robustness for taking into account some important uncertainties on the availability of $$\hbox {CO}_2$$ CO 2  storage. The complete mathematical description of an infinite-horizon optimal control formulation is complemented by the numerical illustration which shows results that are consistent with the goals of Paris-agreement.
AbstractList An infinite-horizon optimal control paradigm is proposed to model the global energy transition to zero-net emissions when carbon dioxide removal (CDR) and electric fuel (E-Fuel) technologies become available. Infinite-horizon optimal trajectories for convex systems are often characterized by global asymptotic stability, where an attractor exists, which is defined as an extremal steady state. In our approach, this asymptotic attractor, known as the ‘turnpike’, represents a sustainable future with zero net emissions. The turnpike can be obtained by solving an “implicit” mathematical programming problem where we introduce robustness for taking into account some important uncertainties on the availability of CO2 storage. The complete mathematical description of an infinite-horizon optimal control formulation is complemented by the numerical illustration which shows results that are consistent with the goals of Paris-agreement.
An infinite-horizon optimal control paradigm is proposed to model the global energy transition to zero-net emissions when carbon dioxide removal (CDR) and electric fuel (E-Fuel) technologies become available. Infinite-horizon optimal trajectories for convex systems are often characterized by global asymptotic stability, where an attractor exists, which is defined as an extremal steady state. In our approach, this asymptotic attractor, known as the ‘turnpike’, represents a sustainable future with zero net emissions. The turnpike can be obtained by solving an “implicit” mathematical programming problem where we introduce robustness for taking into account some important uncertainties on the availability of $$\hbox {CO}_2$$ CO 2  storage. The complete mathematical description of an infinite-horizon optimal control formulation is complemented by the numerical illustration which shows results that are consistent with the goals of Paris-agreement.
Author Vielle, Marc
Babonneau, Frédéric
Haurie, Alain
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Snippet An infinite-horizon optimal control paradigm is proposed to model the global energy transition to zero-net emissions when carbon dioxide removal (CDR) and...
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SubjectTerms Alternative energy
Asymptotic properties
Availability
Biomass energy
Carbon dioxide
Carbon dioxide removal
Climate policy
Fuels
Mathematical programming
Optimal control
Robust control
Sustainability
Trajectory optimization
Title A robust infinite-horizon optimal control approach to climate economics
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