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This paper studies online solutions for regret-optimal control in partially observable systems over an infinite-horizon. Regret-optimal control aims to minimize the difference in LQR cost between causal and non-causal controllers while…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Joudi Hajar , Oron Sabag , Babak Hassibi

We consider the joint problem of system identification and inverse optimal control for discrete-time stochastic Linear Quadratic Regulators. We analyze finite and infinite time horizons in a partially observed setting, where the state is…

Optimization and Control · Mathematics 2025-02-24 Victor Geadah , Juncal Arbelaiz , Harrison Ritz , Nathaniel D. Daw , Jonathan D. Cohen , Jonathan W. Pillow

End-to-end visuomotor control is emerging as a compelling solution for robot manipulation tasks. However, imitation learning-based visuomotor control approaches tend to suffer from a common limitation, lacking the ability to recover from an…

Robotics · Computer Science 2021-03-23 Chia-Man Hung , Li Sun , Yizhe Wu , Ioannis Havoutis , Ingmar Posner

Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obtained by considering the minimization of an energy-like…

Optimization and Control · Mathematics 2024-02-02 Philipp A. Guth , Karl Kunisch , Sergio S. Rodrigues

With the goal of moving towards implementation of increasingly dynamic behaviors on underactuated systems, this paper presents an optimization-based approach for solving full-body dynamics based controllers on underactuated bipedal robots.…

Robotics · Computer Science 2020-04-03 Jenna Reher , Claudia Kann , Aaron D. Ames

Recent years have witnessed the rapid advancement of understanding the control mechanism of networked dynamical systems (NDSs), which are governed by components such as nodal dynamics and topology. This paper reveals that the critical…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Yushan Li , Jianping He , Dimos V. Dimarogonas

Computational level explanations based on optimal feedback control with signal-dependent noise have been able to account for a vast array of phenomena in human sensorimotor behavior. However, commonly a cost function needs to be assumed for…

Machine Learning · Computer Science 2021-10-22 Matthias Schultheis , Dominik Straub , Constantin A. Rothkopf

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan

This paper proposes a combined optimization and learning method for impact-friendly, non-prehensile catching of objects at non-zero velocity. Through a constrained Quadratic Programming problem, the method generates optimal trajectories up…

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

Optimization and Control · Mathematics 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

The ability to deal with systems parametric uncertainties is an essential issue for heavy self-driving vehicles in unconfined environments. In this sense, robust controllers prove to be efficient for autonomous navigation. However,…

We consider the problem of matrix completion on an $n \times m$ matrix. We introduce the problem of Interpretable Matrix Completion that aims to provide meaningful insights for the low-rank matrix using side information. We show that the…

Optimization and Control · Mathematics 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

Mathematical optimization is widely used in various research fields. With a carefully-designed objective function, mathematical optimization can be quite helpful in solving many problems. However, objective functions are usually…

Machine Learning · Computer Science 2019-05-27 Younghan Jeon , Minsik Lee , Jin Young Choi

Learning-based control algorithms require data collection with abundant supervision for training. Safe exploration algorithms ensure the safety of this data collection process even when only partial knowledge is available. We present a new…

Robotics · Computer Science 2020-10-29 Yashwanth Kumar Nakka , Anqi Liu , Guanya Shi , Anima Anandkumar , Yisong Yue , Soon-Jo Chung

This paper presents a framework for inverse learning of objective functions for constrained optimal control problems, which is based on the Karush-Kuhn-Tucker (KKT) conditions. We discuss three variants corresponding to different model…

Systems and Control · Electrical Eng. & Systems 2020-05-07 Marcel Menner , Melanie N. Zeilinger

We study online reinforcement learning for finite-horizon deterministic control systems with {\it arbitrary} state and action spaces. Suppose that the transition dynamics and reward function is unknown, but the state and action space is…

Machine Learning · Computer Science 2019-05-07 Lin F. Yang , Chengzhuo Ni , Mengdi Wang

Model based predictions of future trajectories of a dynamical system often suffer from inaccuracies, forcing model based control algorithms to re-plan often, thus being computationally expensive, suboptimal and not reliable. In this work,…

Machine Learning · Computer Science 2018-12-11 Norman Di Palo , Harri Valpola

Estimation of a precision matrix (i.e., inverse covariance matrix) is widely used to exploit conditional independence among continuous variables. The influence of abnormal observations is exacerbated in a high dimensional setting as the…

Methodology · Statistics 2021-05-17 Peng Tang , Huijing Jiang , Heeyoung Kim , Xinwei Deng

In this paper, we revisit the computation of controlled invariant sets for linear discrete-time systems through a trajectory-based viewpoint. We begin by introducing the notion of convex feasible points, which provides a new…

Optimization and Control · Mathematics 2026-05-06 Emmanuel Junior Wafo Wembe , Adnane Saoud