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math.OC2024

Optimal Infinite-Horizon Mixed Control

Vikrant Malik, Taylan Kargin, Joudi Hajar +1

We study the problem of mixed control in the infinite-horizon setting. We identify the optimal causal controller that minimizes the

math.OC2024

The Distributionally Robust Infinite-Horizon LQR

Joudi Hajar, Taylan Kargin, Vikrant Malik +1

We explore the infinite-horizon Distributionally Robust (DR) linear-quadratic control. While the probability distribution of disturbances is unknown and potentially correlated over…

math.OC2024

Distributionally Robust Kalman Filtering over Finite and Infinite Horizon

Taylan Kargin, Joudi Hajar, Vikrant Malik +1

This paper investigates the distributionally robust filtering of signals generated by state-space models driven by exogenous disturbances with noisy observations in finite and infi…

math.OC2024

Infinite-Horizon Distributionally Robust Regret-Optimal Control

Taylan Kargin, Joudi Hajar, Vikrant Malik +1

We study the infinite-horizon distributionally robust (DR) control of linear systems with quadratic costs, where disturbances have unknown, possibly time-correlated distribution wi…

math.OC2024

Learning the Uncertainty Sets for Control Dynamics via Set Membership: A Non-Asymptotic Analysis

Yingying Li, Jing Yu, Lauren Conger +2

This paper studies uncertainty set estimation for unknown linear systems. Uncertainty sets are crucial for the quality of robust control since they directly influence the conservat…