1 citations · 1 across the 6 of their papers we have counts for
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Online Tracking with Predictions for Nonlinear Systems with Koopman Linear Embedding
Chih-Fan Pai, Xu Shang, Jiachen Qian +1
We study the problem of online tracking in unknown nonlinear dynamical systems, where only short-horizon predictions of future target states are available. This setting arises in p…
Policy Optimization of Mixed H2/H-infinity Control: Benign Nonconvexity and Global Optimality
Chih-Fan Pai, Yuto Watanabe, Yujie Tang +1
Mixed H2/H-infinity control balances performance and robustness by minimizing an H2 cost bound subject to an H-infinity constraint. However, classical Riccati/LMI solutions offer l…
Semidefinite Programming Duality in Infinite-Horizon Linear Quadratic Differential Games
Yuto Watanabe, Chih-Fan Pai, Yang Zheng
Semidefinite programs (SDPs) play a crucial role in control theory, traditionally as a computational tool. Beyond computation, the duality theory in convex optimization also provid…
Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting
Yang Zheng, Chih-Fan Pai, Yujie Tang
Many optimal and robust control problems are nonconvex and potentially nonsmooth in their policy optimization forms. In Part II of this paper, we introduce a new and unified Extend…
Benign Nonconvex Landscapes in Optimal and Robust Control, Part I: Global Optimality
Yang Zheng, Chih-fan Pai, Yujie Tang
Direct policy search has achieved great empirical success in reinforcement learning. Many recent studies have revisited its theoretical foundation for continuous control, which rev…