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We present a framework for bi-level trajectory optimization in which a system's dynamics are encoded as the solution to a constrained optimization problem and smooth gradients of this lower-level problem are passed to an upper-level…

In this paper, we propose a method for estimating the algebraic Riccati equation (ARE) with respect to an unknown discrete-time system from the system state and input observation. The inverse optimal control (IOC) problem asks, ``What…

Optimization and Control · Mathematics 2024-02-12 Shuhei Sugiura , Ryo Ariizumi , Masaya Tanemura , Toru Asai , Shun-ichi Azuma

This correspondence considers the resource allocation problem in wireless interference channel (IC) under link outage constraints. Since the optimization problem is non-convex in nature, existing approaches to find the optimal power…

Networking and Internet Architecture · Computer Science 2022-03-08 Saniul Alam , Sadia Islam , Muhammad R. A. Khandaker , Risala T. Khan , Faisal Tariq , Apriana Toding

In this paper, we study a transfer learning framework for Linear Quadratic Regulator (LQR) control, where (i) the dynamics of the system of interest (target system) are unknown and only a short trajectory of impulse responses from the…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Taosha Guo , Fabio Pasqualetti

Deep Reinforcement Learning (DRL) is gaining attention as a potential approach to design trajectories for autonomous unmanned aerial vehicles (UAV) used as flying access points in the context of cellular or Internet of Things (IoT)…

Information Theory · Computer Science 2022-02-07 Omid Esrafilian , Harald Bayerlein , David Gesbert

Model-based controllers on real robots require accurate knowledge of the system dynamics to perform optimally. For complex dynamics, first-principles modeling is not sufficiently precise, and data-driven approaches can be leveraged to learn…

Robotics · Computer Science 2021-05-17 Weixuan Zhang , Marco Tognon , Lionel Ott , Roland Siegwart , Juan Nieto

This paper considers optimal control of a quadrotor unmanned aerial vehicles (UAV) using the discrete-time, finite-horizon, linear quadratic regulator (LQR). The state of a quadrotor UAV is represented as an element of the matrix Lie group…

Robotics · Computer Science 2021-05-31 Mitchell R. Cohen , Khairi Abdulrahim , James Richard Forbes

This paper presents a constrained iterative Linear Quadratic Regulator (iLQR) framework for nonlinear optimal control problems with box constraints on both states and control inputs. We incorporate logarithmic barrier functions into the…

Optimization and Control · Mathematics 2026-02-06 Abhijeet , Suman Chakravorty

The recent works on quadrotor have focused on more and more challenging tasks on increasingly complex systems. Systems are often augmented with slung loads, inverted pendulums or arms, and accomplish complex tasks such as going through a…

Robotics · Computer Science 2016-02-09 Mathieu Geisert , Nicolas Mansard

We describe an optimal adversarial attack formulation against autoregressive time series forecast using Linear Quadratic Regulator (LQR). In this threat model, the environment evolves according to a dynamical system; an autoregressive model…

Machine Learning · Computer Science 2019-12-03 Yiding Chen , Xiaojin Zhu

Dynamic optimization of nonlinear chemical systems -- such as batch reactors -- should be applied online, and the suitable control taken should be according to the current state of the system rather than the current time instant. The recent…

Systems and Control · Computer Science 2019-04-16 Abdelrahman ElMezain , Mohamed Saleh , Jie Zhang , Ahmed Soliman , Seif Fateen

This paper presents a trajectory generation method that optimizes a quadratic cost functional with respect to linear system dynamics and to linear input and state constraints. The method is based on continuous-time flatness-based trajectory…

Systems and Control · Computer Science 2012-11-27 Jean-Francois Stumper , Ralph Kennel

In this paper we propose a new computational method for designing optimal regulators for high-dimensional nonlinear systems. The proposed approach leverages physics-informed machine learning to solve high-dimensional Hamilton-Jacobi-Bellman…

Optimization and Control · Mathematics 2021-04-09 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

We propose a new reinforcement learning based approach to designing hierarchical linear quadratic regulator (LQR) controllers for heterogeneous linear multi-agent systems with unknown state-space models and separated control objectives. The…

Systems and Control · Electrical Eng. & Systems 2020-07-29 He Bai , Jemin George , Aranya Chakrabortty

Learning-based approaches, notably Reinforcement Learning (RL), have shown promise for solving optimal control tasks without explicit system models. However, these approaches are often sample-inefficient, sensitive to reward design and…

Systems and Control · Electrical Eng. & Systems 2025-08-04 Lihan Lian , Uduak Inyang-Udoh

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

Optimization and Control · Mathematics 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Inverse reinforcement learning (IRL) aims to learn a reward function and a corresponding policy that best fit the demonstrated trajectories of an expert. However, current IRL works cannot learn incrementally from an ongoing trajectory…

Machine Learning · Computer Science 2025-07-24 Shicheng Liu , Minghui Zhu

Exploration in unknown environments is a fundamental problem in reinforcement learning and control. In this work, we study task-guided exploration and determine what precisely an agent must learn about their environment in order to complete…

Machine Learning · Computer Science 2021-07-13 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

Robust controllers ensure stability in feedback loops designed under uncertainty but at the cost of performance. Model uncertainty in time-invariant systems can be reduced by recently proposed learning-based methods, which improve the…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Alexander von Rohr , Friedrich Solowjow , Sebastian Trimpe

This paper develops a data-based approach to the closed-loop output feedback control of nonlinear dynamical systems with a partial nonlinear observation model. We propose an information state based approach to rigorously transform the…

Robotics · Computer Science 2023-10-06 Raman Goyal , Ran Wang , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty