Bifurcation analysis and multiobjective nonlinear model predictive control of forests global warming and carbon dioxide emission

Lakshmi N.  Sridhar

doi:10.59400/sr1640

Lakshmi N. Sridhar Chemical Engineering Department, University of Puerto Rico, Mayaguez 00681, PR, USA

Ariticle ID: 1640

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DOI: https://doi.org/10.59400/sr1640

Keywords: bifurcation; optimal control; multiobjective; global warming; carbon dioxide

Abstract

Bifurcation analysis and multiobjective nonlinear model predictive control calculations are performed on problems involving forestation, human population growth, global warming and carbon dioxide emission. The bifurcation analysis confirms the existence of the oscillation causing Hopf bifurcations. An activation factor involving the tanh function is shown to eliminate the Hopf bifurcations. The multiobjective nonlinear model predictive control (MNLMPC) calculations were performed taking into account the inevitable human population growth and reduction in forest area to obtain control parameters that can be most beneficial. Bifurcation analysis was performed using the MATLAB software MATCONT while the multiobjective nonlinear model predictive control was performed by using the optimization language PYOMO.

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