Dongnam Ko is a Postdoctoral researcher at the ERC Advanced Grant project DyCon under the supervision of Prof. Enrique Zuazua (Universidad Autónoma de Madrid and DeustoTech). Before that, he was a Post-Doctoral researcher at the Research Institute of Mathematics, Seoul National University, Korea. His main research interests are the emergent dynamics of coupled particle networks, the Stochastic particle-path analysis on mean-field models and the numerical methods on kinetic dynamics.
In this post, we use IpOpt and AMPL to simulate optimal controls on a nonlinear ODE system with unbounded interactions. The restriction and initial guess on the state variables are critical for this problem to operate minimization algorithm. From the data calculated from AMPL, we interpret and visualize it using Matlab.
We design the LQR controller and solve it with linearized model.