Taewan Kim

I'm a Ph.D student in Aeronautics and Astronautics at University of Washington, advised by Prof. Behcet Acikmese. I enjoy learning both the theory behind control systems and the practical skills needed for performance-aware programming.

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Research

I'm interested in control and optimization. Most of my research is to formulate optization problems to compute trajectory, controlled invariant funnels, and feedback control using robust control theory.

Funnel Synthesis via LMI Copositivity Conditions
Taewan Kim, Behcet Acikmese
arXiv, 2025
arXiv / Github

Guaranteeing continuous-time invariance between discrete node points is challenging. This paper addresses the issue, and surprisingly, a matrix copositivity structure emerges.

Joint Synthesis of Trajectory, Funnels, and Feedback Control
Taewan Kim, Purnanand Elango, Behcet Acikmese
International Journal of Robust and Nonlinear Control, 2024
Paper / Github

Why not compute the trajectory itself as well? This paper does exactly that.

Constrained Funnel Synthesis via Numerical Optimal Control
Taewan Kim, Purnanand Elango, Taylor P. Reynolds, Behcet Acikmese, Mehran Mesbahi
IEEE Control Systems Letters, 2023
Paper / Github

This reveals that funnel synthesis is essentially a trajectory optimization problem involving matrix variables. By applying numerical optimal control techniques, we can compute funnels that are less conservative compared to existing synthesis approaches.


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