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Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

Optimization and Control · Mathematics 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

We study policy optimization problems for deterministic Markov decision processes (MDPs) with metric state and action spaces, which we refer to as Metric Policy Optimization Problems (MPOPs). Our goal is to establish theoretical results on…

Optimization and Control · Mathematics 2022-07-14 Victor D. Dorobantu , Kamyar Azizzadenesheli , Yisong Yue

This paper studies the finite-horizon robust optimal control of constrained linear systems subject to model mismatch and additive stochastic disturbances. Utilizing the system level synthesis (SLS) parameterization, we propose a novel SLS…

Optimization and Control · Mathematics 2025-10-09 Yun Li , Jicheng Shi , Colin N. Jones , Neil Yorke-Smith , Tamas Keviczky

This paper studies the robust optimal control design for uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (robust-ADP). The objective is to fill up a gap in the past literature of ADP where dynamic…

Dynamical Systems · Mathematics 2013-03-12 Yu Jiang , Zhong-Ping Jiang

Many real-world multi-agent systems exhibit nonlinear dynamics and complex inter-agent interactions. As these systems increase in scale, the main challenges arise from achieving scalability and handling nonconvexity. To address these…

Optimization and Control · Mathematics 2025-10-22 Taehyun Yoon , Augustinos D. Saravanos , Evangelos A. Theodorou

Ensuring safe navigation in human-populated environments is crucial for autonomous mobile robots. Although recent advances in machine learning offer promising methods to predict human trajectories in crowded areas, it remains unclear how…

Robotics · Computer Science 2024-03-11 Kanghyun Ryu , Negar Mehr

This paper presents a stochastic model predictive controller (SMPC) for linear time-invariant systems in the presence of additive disturbances. The distribution of the disturbance is unknown and is assumed to have a bounded support. A…

Systems and Control · Electrical Eng. & Systems 2022-10-03 Hotae Lee , Monimoy Bujarbaruah , Francesco Borrelli

In this work, we present an algorithmically tractable safe approximation of distributionally robust optimization (DRO) problems that contain univariate indicator functions. The latter appear in different applications, but render the model…

Optimization and Control · Mathematics 2026-01-22 Jana Dienstbier , Frauke Liers , Florian Rösel , Jan Rolfes

Data-Driven Predictive Control (DDPC) has been recently proposed as an effective alternative to traditional Model Predictive Control (MPC), in that the same constrained optimization problem can be addressed without the need to explicitly…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Valentina Breschi , Marco Fabris , Simone Formentin , Alessandro Chiuso

This paper proposes a novel safety specification tool, called the distributionally robust risk map (DR-risk map), for a mobile robot operating in a learning-enabled environment. Given the robot's position, the map aims to reliably assess…

Robotics · Computer Science 2021-05-04 Astghik Hakobyan , Insoon Yang

To ensure a successful bid while maximizing of profits, generation companies (GENCOs) need a self-scheduling strategy that can cope with a variety of scenarios. So distributionally robust opti-mization (DRO) is a good choice because that it…

Optimization and Control · Mathematics 2021-05-05 Linfeng Yang , Ying Yang , Guo Chen , Zhaoyang Dong

We develop a novel data-driven robust model predictive control (DDRMPC) approach for automatic control of irrigation systems. The fundamental idea is to integrate both mechanistic models, which describe dynamics in soil moisture variations,…

Systems and Control · Computer Science 2020-06-16 Chao Shang , Wei-Han Chen , Abraham Duncan Stroock , Fengqi You

We consider Markov decision processes (MDPs) with unknown disturbance distribution and address this problem using the robust Markov decision process (RMDP) approach. We construct the empirical distribution of the unknown disturbance…

Optimization and Control · Mathematics 2026-03-11 Sivaramakrishnan Ramani

We propose a data-driven Model Predictive Control (MPC) framework that employs a transformer encoder to generate multi-step predictions. To handle the nonconvex attention mechanism, we derive difference of convex (DC) representations of the…

Optimization and Control · Mathematics 2026-05-15 Xingxiao Chen , Mark Cannon

We consider the problem of offline reinforcement learning with model-based control, whose goal is to learn a dynamics model from the experience replay and obtain a pessimism-oriented agent under the learned model. Current model-based…

Machine Learning · Computer Science 2021-09-16 Ruizhen Liu , Dazhi Zhong , Zhicong Chen

Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

We present a novel distributionally robust framework for dynamic programming that uses kernel methods to design feedback control policies. Specifically, we leverage kernel mean embedding to map the transition probabilities governing the…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Licio Romao , Ashish R. Hota , Alessandro Abate

This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

Stochastic model-predictive control (SMPC) has evolved to a powerful framework for the control of stochastic dynamical systems. SMPC utilizes a probabilistic uncertainty description to provide a systematic trade-off between the control…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Bendegúz Györök , Roland Tóth , Maarten Schoukens , Tamás Péni

Controllers for dynamical systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modeled as process noise in a dynamical system, and common assumptions are that the underlying…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Thom Badings , Licio Romao , Alessandro Abate , David Parker , Hasan A. Poonawala , Marielle Stoelinga , Nils Jansen