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Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

Optimization and Control · Mathematics 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

We consider a stochastic control problem which is composed of a controlled stochastic differential equation, and whose associated cost functional is defined through a controlled backward stochastic differential equation. Under appropriate…

Probability · Mathematics 2009-02-17 Rainer Buckdahn , Boubakeur Labed , Catherine Rainer , Lazhar Tamer

Current research on robust trajectory planning for autonomous agents aims to mitigate uncertainties arising from disturbances and modeling errors while ensuring guaranteed safety. Existing methods primarily utilize stochastic optimal…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Christian Vitale , Savvas Papaioannou , Panayiotis Kolios , Georgios Ellinas

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

Chance constraints provide a principled framework to mitigate the risk of high-impact extreme events by modifying the controllable properties of a system. The low probability and rare occurrence of such events, however, impose severe…

Optimization and Control · Mathematics 2022-01-11 Shanyin Tong , Anirudh Subramanyam , Vishwas Rao

Learning to make decisions from observed data in dynamic environments remains a problem of fundamental importance in a number of fields, from artificial intelligence and robotics, to medicine and finance. This paper concerns the problem of…

Machine Learning · Statistics 2018-06-04 Jack Umenberger , Thomas B. Schön

Recent advances in quadrupedal locomotion have focused on improving stability and performance across diverse environments. However, existing methods often lack adequate safety analysis and struggle to adapt to varying payloads and complex…

Robotics · Computer Science 2024-11-07 Ananya Trivedi , Sarvesh Prajapati , Mark Zolotas , Michael Everett , Taskin Padir

Solving chance-constrained stochastic optimal control problems is a significant challenge in control. This is because no analytical solutions exist for up to a handful of special cases. A common and computationally efficient approach for…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Alexandre Capone , Tim Brüdigam , Sandra Hirche

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

We present a general framework for optimizing the Conditional Value-at-Risk for dynamical systems using stochastic search. The framework is capable of handling the uncertainty from the initial condition, stochastic dynamics, and uncertain…

Optimization and Control · Mathematics 2021-02-16 Ziyi Wang , Oswin So , Keuntaek Lee , Camilo A. Duarte , Evangelos A. Theodorou

A probabilistic framework is proposed for the optimization of efficient switched control strategies for physical systems dominated by stochastic excitation. In this framework, the equation for the state trajectory is replaced with an…

Systems and Control · Computer Science 2017-01-10 Gianluca Meneghello , Paolo Luchini , Thomas Bewley

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

Optimization and Control · Mathematics 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

Handling uncertainty in model predictive control comes with various challenges, especially when considering state constraints under uncertainty. Most methods focus on either the conservative approach of robustly accounting for uncertainty…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Michael Fink , Tim Brüdigam , Dirk Wollherr , Marion Leibold

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

Systems and Control · Computer Science 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

Optimization and Control · Mathematics 2020-01-03 Chao Shang , Fengqi You

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

Optimization and Control · Mathematics 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

This paper presents a chance-constrained formulation for robust trajectory optimization during manipulation. In particular, we present a chance-constrained optimization for Stochastic Discrete-time Linear Complementarity Systems (SDLCS). To…

Robotics · Computer Science 2022-03-08 Yuki Shirai , Devesh K. Jha , Arvind Raghunathan , Diego Romeres