Optimal Control for Sustainable Intervention in a Coupled Socio-Climatic Model of Air Pollution

作     者：Mariam Arif Talha Manzoor 

作者机构：Department of Physics LUMS School of Science and Engineering Lahore Pakistan Center for Water Informatics and Technology LUMS School of Science and Engineering Lahore Pakistan 

出 版 物：《IFAC-PapersOnLine》 

年 卷 期：2023年第56卷第2期

页      面：4663-4668页

主　　题：Modeling and identification of Environmental Systems Air Quality Planning and Control Optimal Control Theory Sustainability Systems Theory 

摘      要：In this paper, technological interventions in a simple airshed model of emission propagation coupled with a social model of technology adoption are studied. An optimal control problem is introduced where a central planner aims to balance pollution concentration against intervention costs over an infinite time horizon. Interventions are classified into two types. Preventive interventions promote the adoption of low emission (green) technologies in the underlying population whereas dissipative interventions reduce the concentration of pre-existing pollutants in the air. Next, an infinite-horizon optimal control problem is set up and the notion of optimality is established. Applying Pontryagin s Minimum Principle, a sustainable equilibrium is derived and the existence of its stable manifold is explored. Imposition of green technology reduces both the steady-state pollutant concentration and dissipative Effort simultaneously but the planning variables induce a tradeoff between concentration and dissipative Effort. Lastly, the stable manifolds are simulated concluding with a discussion on policy implications for the system under consideration.