4 papers
Characterizing Robustness in Nonlinear Optimal Control: From Stability to Optimality
Yicheng Lin, Zhisheng Duan, Tianzhi Li +2
In nonlinear optimal control, uncertainties in system dynamics may affect not only closed-loop stability but also the achieved optimality properties of the resulting solutions. Thi…
Optimality Robustness in Koopman-Based Control
Yicheng Lin, Bingxian Wu, Nan Bai +3
The Koopman operator enables simplified representations for nonlinear systems in data-driven optimal control, but the accompanying uncertainties inevitably induce deviations in the…
Optimality Deviation using the Koopman Operator
Yicheng Lin, Bingxian Wu, Nan Bai +2
This paper investigates the impact of approximation error in data-driven optimal control problem of nonlinear systems while using the Koopman operator. While the Koopman operator e…
Integrating Uncertainties for Koopman-Based Stabilization
Yicheng Lin, Bingxian Wu, Nan Bai +4
Over the past decades, the Koopman operator has been widely applied in data-driven control, yet its theoretical foundations remain underexplored. This paper establishes a unified f…