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Stochastic control deals with finding an optimal control signal for a dynamical system in a setting with uncertainty, playing a key role in numerous applications. The linear quadratic Gaussian (LQG) is a widely-used setting, where the…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Solomon Goldgraber Casspi , Oliver Husser , Guy Revach , Nir Shlezinger

This paper presents a simulation-based comparison between the two controllers, Proportional Integral Derivative (PID), a classical controller and Linear Quadratic Regulator (LQR), an optimal controller, for a linearized quadrotor model. To…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Prathamesh Saraf , Manan Gupta , Alivelu Manga Parimi

``Sim2real gap", in which the system learned in simulations is not the exact representation of the real system, can lead to loss of stability and performance when controllers learned using data from the simulated system are used on the real…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Shivam Bajaj , Prateek Jaiswal , Vijay Gupta

This paper proposes continuum deformation as a strategy for controlling the collective motion of a multiple quadcopter system (MQS) carrying a common payload. Continuum deformation allows expansion and contraction of inter-agent distances…

Systems and Control · Computer Science 2017-11-15 Hossein Rastgoftar , Ella M. Atkins

We study the problem of designing a state feedback linear quadratic Gaussian (LQG) controller for a system in which the system matrices as well as the process noise covariance are unknown. We do a rigorous comparison between two approaches.…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Mingxiang Liu , Damián Marelli , Minyue Fu , Qianqian Cai

Linear-Quadratic-Gaussian (LQG) control is a fundamental control paradigm that is studied in various fields such as engineering, computer science, economics, and neuroscience. It involves controlling a system with linear dynamics and…

Optimization and Control · Mathematics 2023-11-02 Bahar Taşkesen , Dan A. Iancu , Çağıl Koçyiğit , Daniel Kuhn

In this paper a geometric approach to the trajectory tracking control of Unmanned Aerial Vehicles with thrust vectoring capabilities is proposed. The control design is suitable for aerial systems that allow to effectively decouple position…

Optimization and Control · Mathematics 2017-03-21 Davide Invernizzi , Marco Lovera

We propose a learning-based trajectory tracking controller for autonomous robotic platforms whose motion can be described kinematically on $\mathrm{SE}(3)$. The controller is formulated in the dual quaternion framework and operates at the…

Robotics · Computer Science 2026-01-07 Omayra Yago Nieto , Alexandre Anahory Simoes , Juan I. Giribet , Leonardo Colombo

Accurate tracking of planned trajectories in the presence of perturbations is an important problem in control and robotics. Symmetry is a fundamental mathematical feature of many dynamical systems and exploiting this property offers the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Matthew Hampsey , Pieter van Goor , Robert Mahony

In this paper, we present a cascade control structure to address the trajectory tracking problem for quadcopters, ensuring uniform global asymptotic stability of the state tracking error dynamics. An MPC strategy based on a 12-dimensional…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Maedeh Izadi , A. T. J. R. Cobbenhagen , R. L. Sommer , A. R. P. Andrien , E. Lefeber , W. P. M. H. Heemels

The Linear Quadratic Gaussian (LQG) regulator is a cornerstone of optimal control theory, yet its performance can degrade significantly when the noise distributions deviate from the assumed Gaussian model. To address this limitation, this…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

Hybrid Flying-Crawling Quadrotors (HyFCQs) are transformable robots with the ability of terrestrial and aerial hybrid motion. This article presents a trajectory planning and tracking framework designed for HyFCQs. In this framework, a…

Robotics · Computer Science 2024-05-15 Dongnan Hu , Ruihao Xia , Xin Jin , Yang Tang

This paper presents a control law for stabilization and trajectory tracking of a multicopter subject to safety constraints. The proposed approach guarantees forward invariance of a prescribed safety set while ensuring smooth tracking…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Jhon Manuel Portella Delgado , Ankit Goel

Nonlinear PID control systems for a quadrotor UAV are proposed to follow an attitude tracking command and a position tracking command. The control systems are developed directly on the special Euclidean group to avoid singularities of…

Optimization and Control · Mathematics 2013-04-26 Farhad Goodarzi , Daewon Lee , Taeyoung Lee

We present a switching scheme, which uses both the attitude-error quaternion (AEQ) and the angular-velocity error, for controlling the rotational degrees of freedom of an uncrewed aerial vehicle (UAV) during flight. In this approach, the…

Quadcopter trajectory tracking control has been extensively investigated and implemented in the past. Available controls mostly use the Euler angle standards to describe the quadcopters rotational kinematics and dynamics. As a result, the…

Robotics · Computer Science 2022-12-06 Aeris El Asslouj , Hossein Rastgoftar

Reach-avoid specifications are one of the most common tasks in autonomous aerial vehicle (UAV) applications. Despite the intensive research and development associated with control of aerial vehicles, generating feasible trajectories though…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Mohamed Serry , Haocheng Chang , Jun Liu

To achieve high resolution imaging the standard control algorithm used for classical adaptive optics (AO) is the simple but efficient proportional-integral (PI) controller. The goal is to minimize the root mean square (RMS) error of the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Qiang Fu , Jörg-Uwe Pott , Peter Dethard , Feng Shen , Changhui Rao , Xinyang Li

In this paper, we investigate the operation of an aerial manipulator system, namely an Unmanned Aerial Vehicle (UAV) equipped with a controllable arm with two degrees of freedom to carry out actuation tasks on the fly. Our solution is based…

Robotics · Computer Science 2023-08-28 Hazim Alzorgan , Abolfazl Razi , Ata Jahangir Moshayedi

In this paper, we define and solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic Gaussian (LQG) and the linear-quadratic sensorimotor (LQS) control model. These Stochastic Optimal Control (SOC) models are…

Optimization and Control · Mathematics 2022-11-01 Philipp Karg , Simon Stoll , Simon Rothfuß , Sören Hohmann
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