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For various typical cases and situations where the formulation results in an optimal control problem, the Linear Quadratic Regulator (LQR) approach and its variants continue to be highly attractive. In certain scenarios, it can happen that…

Optimization and Control · Mathematics 2023-02-14 Jun Ma , Zilong Cheng , Xiaocong Li , Wenxin Wang , Masayoshi Tomizuka , Tong Heng Lee

Planning trajectories for automated vehicles in urban environments requires methods with high generality, long planning horizons, and fast update rates. Using a path-velocity decomposition, we contribute a novel planning framework, which…

Robotics · Computer Science 2023-08-10 Jona Ruof , Max Bastian Mertens , Michael Buchholz , Klaus Dietmayer

Recent approaches in machine learning often solve a task using a composition of multiple models or agentic architectures. When targeting a composed system with adversarial attacks, it might not be computationally or informationally feasible…

Machine Learning · Computer Science 2024-11-01 Julian Collado , Kevin Stangl

Reinforcement learning is a model-free optimal control method that optimizes a control policy through direct interaction with the environment. For reaching tasks that end in regulation, popular discrete-action methods are not well suited…

Robotics · Computer Science 2021-06-23 Wouter Caarls

Optimal control is often used in robotics for planning a trajectory to achieve some desired behavior, as expressed by the cost function. Most works in optimal control focus on finding a single optimal trajectory, which is then typically…

Robotics · Computer Science 2021-08-24 Teguh Santoso Lembono , Sylvain Calinon

We propose a method to attack controllers that rely on external timeseries forecasts as task parameters. An adversary can manipulate the costs, states, and actions of the controllers by forging the timeseries, in this case perturbing the…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Po-han Li , Ufuk Topcu , Sandeep P. Chinchali

In this paper we explore the Linear-Quadratic Regulator (LQR) to model movement of the mouse pointer. We propose a model in which users are assumed to behave optimally with respect to a certain cost function. Users try to minimize the…

Human-Computer Interaction · Computer Science 2020-02-27 Florian Fischer , Arthur Fleig , Markus Klar , Lars Gruene , Joerg Mueller

This letter explores intelligent scheduling of sensor-to-controller communication in networked control systems, particularly when data transmission incurs a cost. While the optimal controller in a standard linear quadratic Gaussian (LQG)…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Zahra Hashemi , Dipankar Maity

The convergence of policy gradient algorithms hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of linear quadratic control.…

Optimization and Control · Mathematics 2023-11-02 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao

Trajectory planning is a key piece in the algorithmic architecture of a robot. Trajectory planners typically use iterative optimization schemes for generating smooth trajectories that avoid collisions and are optimal for tracking given the…

Robotics · Computer Science 2021-06-08 Sai Vemprala , Ashish Kapoor

To ensure the usefulness of Reinforcement Learning (RL) in real systems, it is crucial to ensure they are robust to noise and adversarial attacks. In adversarial RL, an external attacker has the power to manipulate the victim agent's…

Machine Learning · Computer Science 2024-06-18 Jeremy McMahan , Young Wu , Xiaojin Zhu , Qiaomin Xie

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

The last decade has seen the rise of Adversarial Machine Learning (AML). This discipline studies how to manipulate data to fool inference engines, and how to protect those systems against such manipulation attacks. Extensive work on attacks…

Machine Learning · Statistics 2021-10-22 Roi Naveiro

Recent studies show that Deep Reinforcement Learning (DRL) models are vulnerable to adversarial attacks, which attack DRL models by adding small perturbations to the observations. However, some attacks assume full availability of the victim…

Machine Learning · Computer Science 2022-02-18 Xinlei Pan , Chaowei Xiao , Warren He , Shuang Yang , Jian Peng , Mingjie Sun , Jinfeng Yi , Zijiang Yang , Mingyan Liu , Bo Li , Dawn Song

This paper introduces a reinforcement learning-based tracking control approach for a class of nonlinear systems using neural networks. In this approach, adversarial attacks were considered both in the actuator and on the outputs. This…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Farshad Rahimi , Sepideh Ziaei

We study adversarially robust multitask adaptive linear quadratic control; a setting where multiple systems collaboratively learn control policies under model uncertainty and adversarial corruption. We propose a clustered multitask approach…

Machine Learning · Computer Science 2025-11-10 Kasra Fallah , Leonardo F. Toso , James Anderson

The main objective of this research paper is to investigate the local convergence characteristics of Model-agnostic Meta-learning (MAML) when applied to linear system quadratic optimal control (LQR). MAML and its variations have become…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Negin Musavi , Geir E. Dullerud

Real-world deep learning models developed for Time Series Forecasting are used in several critical applications ranging from medical devices to the security domain. Many previous works have shown how deep learning models are prone to…

Machine Learning · Computer Science 2023-01-30 Yuvaraj Govindarajulu , Avinash Amballa , Pavan Kulkarni , Manojkumar Parmar

This paper addresses the inverse optimal control for the linear quadratic tracking problem with a fixed but unknown target state, which aims to estimate the possible triplets comprising the target state, the state weight matrix, and the…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Yao Li , Chengpu Yu , Hao Fang , Jie Chen

The optimal predictor for a linear dynamical system (with hidden state and Gaussian noise) takes the form of an autoregressive linear filter, namely the Kalman filter. However, a fundamental problem in reinforcement learning and control…

Machine Learning · Computer Science 2019-05-27 Holden Lee , Cyril Zhang