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This paper addresses reinforcement learning based, direct signal tracking control with an objective of developing mathematically suitable and practically useful design approaches. Specifically, we aim to provide reliable and easy to…

Systems and Control · Electrical Eng. & Systems 2021-04-01 Zhikai Yao , Jennie Si , Ruofan Wu , Jianyong Yao

In this paper, we develop a modular design method of decentralized controllers for linear dynamical network systems, where multiple subcontroller designers aim at individually regulating their local control performance with accessibility…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Takayuki Ishizaki , Hampei Sasahara , Masaki Inoue , Takahiro Kawaguchi , Jun-ichi Imura

This paper presents a controller design and optimization framework for nonlinear dynamic systems to track a given reference signal in the presence of disturbances when the task is repeated over a finite-time interval. This novel framework…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jiapeng Xu , Ying Tan , Xiang Chen

In many real-world settings, reinforcement learning systems suffer performance degradation when the environment encountered at deployment differs from that observed during training. Distributionally robust reinforcement learning (DR-RL)…

Machine Learning · Computer Science 2026-03-05 Debamita Ghosh , George K. Atia , Yue Wang

Learning and synthesizing stabilizing controllers for unknown nonlinear control systems is a challenging problem for real-world and industrial applications. Koopman operator theory allows one to analyze nonlinear systems through the lens of…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Vrushabh Zinage , Efstathios Bakolas

This paper demonstrates that continual relearning of control policies using incremental deep reinforcement learning (RL) can improve policy learning for non-stationary processes. We demonstrate this approach for a data-driven 'smart…

Machine Learning · Computer Science 2020-08-06 Avisek Naug , Marcos Quiñones-Grueiro , Gautam Biswas

We study online control of an unknown nonlinear dynamical system that is approximated by a time-invariant linear system with model misspecification. Our study focuses on robustness, a measure of how much deviation from the assumed linear…

Optimization and Control · Mathematics 2022-04-06 Xinyi Chen , Udaya Ghai , Elad Hazan , Alexandre Megretski

We propose a control framework that integrates model-based bipedal locomotion with residual reinforcement learning (RL) to achieve robust and adaptive walking in the presence of real-world uncertainties. Our approach leverages a model-based…

Robotics · Computer Science 2026-01-23 Yashuai Yan , Tobias Egle , Christian Ott , Dongheui Lee

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. This is in sharp contrast to classical model-based control,…

Optimization and Control · Mathematics 2020-06-16 Guannan Qu , Chenkai Yu , Steven Low , Adam Wierman

We propose a two-phase risk-averse architecture for controlling stochastic nonlinear robotic systems. We present Risk-Averse Nonlinear Steering RRT* (RANS-RRT*) as an RRT* variant that incorporates nonlinear dynamics by solving a nonlinear…

Robotics · Computer Science 2021-09-07 Sleiman Safaoui , Benjamin J. Gravell , Venkatraman Renganathan , Tyler H. Summers

Precise near-ground trajectory control is difficult for multi-rotor drones, due to the complex aerodynamic effects caused by interactions between multi-rotor airflow and the environment. Conventional control methods often fail to properly…

We present a simple model-free control algorithm that is able to robustly learn and stabilize an unknown discrete-time linear system with full control and state feedback subject to arbitrary bounded disturbance and noise sequences. The…

Optimization and Control · Mathematics 2020-10-02 Dimitar Ho , John Doyle

Neural-network-based controllers (NNCs) can represent complex, highly nonlinear control laws, but verifying the closed-loop stability of dynamical systems using them remains challenging. This work presents contributions to a…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Alvaro Detailleur , Dalim Wahby , Guillaume Ducard , Christopher Onder

We study supervisory switching control for partially-observed linear dynamical systems. The objective is to identify and deploy the best controller for the unknown system by periodically selecting among a collection of $N$ candidate…

Optimization and Control · Mathematics 2026-03-19 Haoyuan Sun , Ali Jadbabaie

We study online control of time-varying linear systems with unknown dynamics in the nonstochastic control model. At a high level, we demonstrate that this setting is \emph{qualitatively harder} than that of either unknown time-invariant or…

Machine Learning · Computer Science 2022-02-17 Edgar Minasyan , Paula Gradu , Max Simchowitz , Elad Hazan

Switching control strategies that unite a potentially high-performance but uncertified controller and a stabilizing albeit conservative controller are shown to be able to balance safety with efficiency, but have been less studied under…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Yiwen Lu , Yilin Mo

There has been a recent interest in imitation learning methods that are guaranteed to produce a stabilizing control law with respect to a known system. Work in this area has generally considered linear systems and controllers, for which…

Optimization and Control · Mathematics 2021-09-23 Sebastian East

This paper deals with the development and analysis of novel time-optimal point-to-point model predictive control concepts for nonlinear systems. Recent approaches in the literature apply a time transformation, however, which do not maintain…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram

Estimating the Region of Attraction (RoA) for nonlinear dynamical systems is a fundamental problem in control theory, with direct implications for stability analysis and safe controller design. Traditional approaches rely on analytically…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Adel Bechihi , Aristotelis Kapnopoulos

A method is presented to learn neural network (NN) controllers with stability and safety guarantees through imitation learning (IL). Convex stability and safety conditions are derived for linear time-invariant plant dynamics with NN…

Systems and Control · Electrical Eng. & Systems 2021-04-08 He Yin , Peter Seiler , Ming Jin , Murat Arcak