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We present a novel strategy for robust dual control of linear time-invariant systems based on gain scheduling with performance guarantees. This work relies on prior results of determining uncertainty bounds of system parameters estimated…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Janani Venkatasubramanian , Johannes Köhler , Julian Berberich , Frank Allgöwer

We propose a novel targeted exploration strategy designed specifically for uncertain linear time-invariant systems with energy-bounded disturbances, i.e., without any assumptions on the distribution of the disturbances. We use classical…

Optimization and Control · Mathematics 2026-03-12 Janani Venkatasubramanian , Johannes Köhler , Mark Cannon , Frank Allgöwer

We study the problem of safe learning and exploration in sequential control problems. The goal is to safely collect data samples from operating in an environment, in order to learn to achieve a challenging control goal (e.g., an agile…

Machine Learning · Computer Science 2020-06-30 Anqi Liu , Guanya Shi , Soon-Jo Chung , Anima Anandkumar , Yisong Yue

Control of non-episodic, finite-horizon dynamical systems with uncertain dynamics poses a tough and elementary case of the exploration-exploitation trade-off. Bayesian reinforcement learning, reasoning about the effect of actions and future…

Machine Learning · Statistics 2016-08-12 Edgar D. Klenske , Philipp Hennig

We introduce a sequential learning algorithm to address a robust controller tuning problem, which in effect, finds (with high probability) a candidate solution satisfying the internal performance constraint to a chance-constrained program…

Optimization and Control · Mathematics 2021-10-19 Robert Chin , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

Optimization and Control · Mathematics 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

In this paper, we introduce a targeted exploration strategy for the non-asymptotic, finite-time case. The proposed strategy is applicable to uncertain linear time-invariant systems subject to sub-Gaussian disturbances. As the main result,…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Janani Venkatasubramanian , Johannes Köhler , Frank Allgöwer

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test controllers. These experiments are used to improve the achieved…

Optimization and Control · Mathematics 2022-05-12 Tobias Holicki , Carsten W. Scherer , Sebastian Trimpe

In continuous control, exploration is often performed through undirected strategies in which parameters of the networks or selected actions are perturbed by random noise. Although the deep setting of undirected exploration has been shown to…

Machine Learning · Computer Science 2022-10-04 Baturay Saglam , Suleyman S. Kozat

In this paper we propose a framework towards achieving two intertwined objectives: (i) equipping reinforcement learning with active exploration and deliberate information gathering, such that it regulates state and parameter uncertainties…

Machine Learning · Computer Science 2024-09-10 Mohammad S. Ramadan , Mahmoud A. Hayajnh , Michael T. Tolley , Kyriakos G. Vamvoudakis

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

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

End-to-end engineering design pipelines, in which designs are evaluated using concurrently defined optimal controllers, are becoming increasingly common in practice. To discover designs that perform well even under the misspecification of…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Yash Patel , Sahana Rayan , Ambuj Tewari

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

This paper is concerned with the robust tracking control of linear uncertain systems, whose unknown system parameters and disturbances are bounded within ellipsoidal sets. We propose an adaptive robust control that can actively learn the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Xuehui Ma , Shiliang Zhang , Yushuai Li , Fucai Qian , Tingwen Huang

Efficient exploration is necessary to achieve good sample efficiency for reinforcement learning in general. From small, tabular settings such as gridworlds to large, continuous and sparse reward settings such as robotic object manipulation…

Machine Learning · Computer Science 2019-06-20 Zhaohan Daniel Guo , Emma Brunskill

We study in this paper the problem of iterative feedback gains tuning for a class of nonlinear systems. We consider Input-Output linearizable nonlinear systems with additive uncertainties. We first design a nominal Input-Output…

Systems and Control · Computer Science 2016-11-15 Mouhacine Benosman

The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new…

Methodology · Statistics 2016-04-29 Xun Huan , Youssef M. Marzouk

This survey is focused on certain sequential decision-making problems that involve optimizing over probability functions. We discuss the relevance of these problems for learning and control. The survey is organized around a framework that…

Optimization and Control · Mathematics 2023-01-13 Emiland Garrabe , Giovanni Russo
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