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This work proposes a framework for multistage adjustable robust optimization that unifies the treatment of three different types of endogenous uncertainty, where decisions, respectively, (i) alter the uncertainty set, (ii) affect the…

Optimization and Control · Mathematics 2020-08-31 Qi Zhang , Wei Feng

We propose a data-driven technique to automatically learn contextual uncertainty sets in robust optimization, resulting in excellent worst-case and average-case performance while also guaranteeing constraint satisfaction. Our method…

Optimization and Control · Mathematics 2025-06-25 Irina Wang , Bart Van Parys , Bartolomeo Stellato

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

Machine Learning · Computer Science 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

The sudden onset of deleterious and oscillatory dynamics (often called instabilities) is a known challenge in many fluid, plasma, and aerospace systems. These dynamics are difficult to address because they are nonlinear, chaotic, and are…

Machine Learning · Computer Science 2024-05-31 John W. Brooks , Christine M. Greve

Robust control problems have significant practical implications since external disturbances can significantly impact the performance of control methods. Existing robust control methods excel at control-affine systems but fail at neural…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Huixuan Cheng , Hanjiang Hu , Changliu Liu

In this paper we propose a new methodology for solving an uncertain stochastic Markovian control problem in discrete time. We call the proposed methodology the adaptive robust control. We demonstrate that the uncertain control problem under…

Optimization and Control · Mathematics 2017-06-08 Tomasz R. Bielecki , Tao Chen , Igor Cialenco , Areski Cousin , Monique Jeanblanc

Learning-based control aims to construct models of a system to use for planning or trajectory optimization, e.g. in model-based reinforcement learning. In order to obtain guarantees of safety in this context, uncertainty must be accurately…

Robotics · Computer Science 2020-06-08 David D. Fan , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

In many learning based control methodologies, learning the unknown dynamic model precedes the control phase, while the aim is to control the system such that it remains in some safe region of the state space. In this work, our aim is to…

Machine Learning · Computer Science 2021-05-14 Farhad Farokhi , Alex Leong , Iman Shames , Mohammad Zamani

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Active learning is a decision-making process. In both abstract and physical settings, active learning demands both analysis and action. This is a review of active learning in robotics, focusing on methods amenable to the demands of embodied…

Robotics · Computer Science 2021-06-28 Annalisa T. Taylor , Thomas A. Berrueta , Todd D. Murphey

In this paper we propose a data-driven distributionally robust Model Predictive Control framework for constrained stochastic systems with unbounded additive disturbances. Recursive feasibility is ensured by optimizing over an linearly…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

In controlling systems with large operating envelopes, it is often necessary to adjust the desired dynamics according to operating conditions. This paper presents a robust adaptive control architecture for linear parameter-varying (LPV)…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Pan Zhao , Steven Snyder , Naira Hovakimyana , Chengyu Cao

Lagrangian systems represent a wide range of robotic systems, including manipulators, wheeled and legged robots, and quadrotors. Inverse dynamics control and feedforward linearization techniques are typically used to convert the complex…

Robotics · Computer Science 2018-09-13 Mohamed K. Helwa , Adam Heins , Angela P. Schoellig

A framework is introduced for actively and adaptively solving a sequence of machine learning problems, which are changing in bounded manner from one time step to the next. An algorithm is developed that actively queries the labels of the…

Machine Learning · Computer Science 2018-05-31 Yuheng Bu , Jiaxun Lu , Venugopal V. Veeravalli

We propose a simple and computationally efficient approach for designing a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertainty is modeled as an additive disturbance and an additive error on the…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R. Stürz , Francesco Borrelli

In this paper, we study a tracking control problem for linear time-invariant systems, with model parametric uncertainties, under input and states constraints. We apply the idea of modular design introduced in Benosman et al. 2014, to solve…

Systems and Control · Computer Science 2015-12-09 Anantharaman Subbaraman , Mouhacine Benosman

In this paper, we investigate the optimal output tracking problem for linear discrete-time systems with unknown dynamics using reinforcement learning and robust output regulation theory. This output tracking problem only allows to utilize…

Dynamical Systems · Mathematics 2021-01-22 Ci Chen , Lihua Xie , Yi Jiang , Kan Xie , Shengli Xie

Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

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
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