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Trajectory optimization and model predictive control are essential techniques underpinning advanced robotic applications, ranging from autonomous driving to full-body humanoid control. State-of-the-art algorithms have focused on data-driven…

Systems and Control · Electrical Eng. & Systems 2021-11-15 Hany Abdulsamad , Tim Dorau , Boris Belousov , Jia-Jie Zhu , Jan Peters

The optimal control problem of stochastic systems is commonly solved via robust or scenario-based optimization methods, which are both challenging to scale to long optimization horizons. We cast the optimal control problem of a stochastic…

Machine Learning · Computer Science 2025-09-17 Etienne Buehrle , Christoph Stiller

Scheduling problems in manufacturing, logistics and project management have frequently been modeled using the framework of Resource Constrained Project Scheduling Problems with minimum and maximum time lags (RCPSP/max). Due to the…

Artificial Intelligence · Computer Science 2014-01-21 Na Fu , Hoong Chuin Lau , Pradeep R. Varakantham , Fei Xiao

The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the sweeping type with involving variable time into optimization. We…

Optimization and Control · Mathematics 2025-03-05 Tan H. Cao , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Nguyen N. Thieu

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

In this paper, we investigate a worst-case-scenario control problem with a partially observed state. We consider a non-stochastic formulation, where noises and disturbances in our dynamics are uncertain variables which take values in finite…

Optimization and Control · Mathematics 2022-12-14 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

In this paper, we develop a unified framework for studying constrained robust optimal control problems with adjustable uncertainty sets. In contrast to standard constrained robust optimal control problems with known uncertainty sets, we…

Optimization and Control · Mathematics 2016-06-09 Xiaojing Zhang , Maryam Kamgarpour , Angelos Georghiou , Paul Goulart , John Lygeros

We investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that…

Optimization and Control · Mathematics 2021-07-19 Mohammad Saeed Sarafraz , Anton V. Proskurnikov , Mohammad Saleh Tavazoei , Peyman Mohajerin Esfahani

Designing controllers for systems affected by model uncertainty can prove to be a challenge, especially when seeking the optimal compromise between the conflicting goals of identification and control. This trade-off is explicitly taken into…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Elena Arcari , Lukas Hewing , Max Schlichting , Melanie N. Zeilinger

Existing neural network-based autonomous systems are shown to be vulnerable against adversarial attacks, therefore sophisticated evaluation on their robustness is of great importance. However, evaluating the robustness only under the…

Machine Learning · Computer Science 2020-12-29 Wenhao Ding , Baiming Chen , Bo Li , Kim Ji Eun , Ding Zhao

A number of prototypical optimization problems in multi-agent systems (e.g., task allocation and network load-sharing) exhibit a highly local structure: that is, each agent's decision variables are only directly coupled to few other agent's…

Multiagent Systems · Computer Science 2020-03-04 Robin Brown , Federico Rossi , Kiril Solovey , Michael T. Wolf , Marco Pavone

Studies on simulation input uncertainty often built on the availability of input data. In this paper, we investigate an inverse problem where, given only the availability of output data, we nonparametrically calibrate the input models and…

Optimization and Control · Mathematics 2018-01-09 Aleksandrina Goeva , Henry Lam , Huajie Qian , Bo Zhang

This paper deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting…

Optimization and Control · Mathematics 2023-03-08 Fabien Lauer

To tackle the difficulties faced by both stochastic dynamic programming and scenario tree methods, we present some variational approach for numerical solution of stochastic optimal control problems. We consider two different interpretations…

Optimization and Control · Mathematics 2009-07-28 Pierre Carpentier , Guy Cohen , Anes Dallagi

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

Machine Learning · Statistics 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

We consider robust control synthesis for linear systems with complex specifications that are affected by uncertain disturbances. This work is motivated by autonomous systems interacting with partially known, time-varying environments. Given…

Optimization and Control · Mathematics 2018-08-27 Damian Frick , Tony A. Wood , Gian Ulli , Maryam Kamgarpour

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

Optimization and Control · Mathematics 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

A method of optimal control computation is proposed for problems with control and state constraints. It uses a sequence of control structure adjustments in the form of generations and reductions of nodes and arcs, which do not change the…

Optimization and Control · Mathematics 2025-10-21 Maciej Szymkat , Adam Korytowski

Classical deterministic optimal control problems assume full information about the controlled process. The theory of control for general partially-observable processes is powerful, but the methods are computationally expensive and typically…

Optimization and Control · Mathematics 2024-08-02 Dongping Qi , Adam Dhillon , Alexander Vladimirsky

Instances generation is crucial for linear programming algorithms, which is necessary either to find the optimal pivot rules by training learning method or to evaluate and verify corresponding algorithms. This study proposes a general…

Optimization and Control · Mathematics 2022-11-22 Anqi Li , Congying Han , Tiande Guo