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This article presents an error-state Linear Quadratic Regulator (LQR) formulation for robust trajectory tracking in quadrotor Unmanned Aerial Vehicles (UAVs). The proposed approach leverages error-state dynamics and employs exponential…

Robotics · Computer Science 2025-01-28 Micah Reich

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

This paper presents the design, implementation, and flight test results of linear quadratic integral regulator (LQRi) based attitude control for a quadcopter UAV. We present the derivation of the mathematical model for the kinematics and…

Robotics · Computer Science 2024-04-19 Astik Srivastava , S. Indu , Richa Sharma

In this paper, we consider the problem of tracking a reference trajectory for a simplified car model based on unicycle kinematics, whose position only is measured, and where the control input and the measurements are corrupted by…

Robotics · Computer Science 2014-06-19 Sébastien Diemer , Silvère Bonnabel

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

Quadrotors are indispensable in civilian, industrial, and military domains, undertaking complex, high-precision tasks once reserved for specialized systems. Across all contexts, energy efficiency remains a critical constraint: quadrotors…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Daniel Engelsman , Itzik Klein

Linear quadratic Gaussian (LQG) control is a well-established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Daniel Engelsman , Itzik Klein

The linear-quadratic regulator (LQR) is an efficient control method for linear and linearized systems. Typically, LQR is implemented in minimal coordinates (also called generalized or "joint" coordinates). However, other coordinates are…

Optimization and Control · Mathematics 2022-04-19 Jan Brüdigam , Zachary Manchester

Groups of unmanned aerial vehicles (UAVs) are increasingly utilized in transportation task as the combined strength allows to increase the maximum payload. However, the resulting mechanical coupling of the UAVs impose new challenges in…

Optimization and Control · Mathematics 2021-11-02 Jacob R. Goodman , Juan S. Cely , Thomas Beckers , Leonardo J. Colombo

Enforcing safety on precise trajectory tracking is critical for aerial robotics subject to wind disturbances. In this paper, we present a learning-based safety-preserving cascaded quadratic programming control (SPQC) for safe trajectory…

Robotics · Computer Science 2021-04-22 Lei Zheng , Rui Yang , Jiesen Pan , Hui Cheng

A complete model of the motion of a quadcopter along a smooth spatial trajectory is presented. Based on the model, a robust algorithm is proposed for controlling a quadcopter using measurements of linear coordinates and yaw angle. By…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Stanislav Kim , Anton Pyrkin , Oleg Borisov

Current research suggests the use of a liner quadratic performance index for optimal control of regulators in various applications. Some examples include correcting the trajectory of rocket and air vehicles, vibration suppression of…

General Mathematics · Mathematics 2007-05-23 Alexander Bolonkin , Robert Sierakowski

The primary purpose of this study is to investigate the system modeling of a nanoquadcopter as well as designing position and trajectory control algorithms, with the ultimate goal of testing the system both in simulation and on a real…

Systems and Control · Computer Science 2016-08-23 Carlos Luis , Jérôme Le Ny

We consider event-triggered linear-quadratic Gaussian (LQG) control when sensor updates are transmitted over an i.i.d. packet-erasure channel. Although the optimal controller in a standard LQG setup is available in closed form, choosing…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Zahra Hashemi , Dipankar Maity

We consider a quadcopter operating in a turbulent windy environment. The turbulent environment may be imposed on a quadcopter by structures, landscapes, terrains and most importantly by the unique physical phenomena in the lower atmosphere.…

Systems and Control · Electrical Eng. & Systems 2022-01-10 Asma Tabassum , Rohit K. S. S. Vuppala , He Bai , Kursat Kara

This paper presents the design of a geometric trajectory tracking controller for the cooperative task of two quadrotor UAVs (unmanned aerial vehicles) carrying and transporting a rigid bar, which is attached to the quadrotors via inflexible…

Optimization and Control · Mathematics 2022-07-13 Jacob R. Goodman , Leonardo J. Colombo

This paper addresses the problem of event-based distributed Linear Quadratic Gaussian (LQG) control for multirobot coordination under localization uncertainty. An event-triggered LQG rendezvous control strategy is proposed to ensure…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Tohid Kargar Tasooji , Sakineh Khodadadi

This paper presents a new framework for controller robustness verification with respect to F-16 aircraft's closed-loop performance in longitudinal flight. We compare the state regulation performance of a linear quadratic regulator (LQR) and…

Systems and Control · Computer Science 2014-02-04 Abhishek Halder , Kooktae Lee , Raktim Bhattacharya

Linear-Quadratic-Gaussian (LQG) control is concerned with the design of an optimal controller and estimator for linear Gaussian systems with imperfect state information. Standard LQG assumes the set of sensor measurements, to be fed to the…

Optimization and Control · Mathematics 2020-05-18 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

Quadrotor systems are common and beneficial for many fields, but their intricate behavior often makes it challenging to design effective and optimal control strategies. Some traditional approaches to nonlinear control often rely on local…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Zeyad M. Manaa , Ayman M. Abdallah , Mohammad A. Abido , Syed S. Azhar Ali
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