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We derived a coordinate-free form of equations of motion for a complete model of a quadrotor UAV with a payload which is connected via a flexible cable according to Lagrangian mechanics on a manifold. The flexible cable is modeled as a…

Optimization and Control · Mathematics 2015-09-09 Farhad A. Goodarzi , Daewon Lee , Taeyoung Lee

In this paper, an exponentially stable trajectory tracking controller is proposed for multi-UAV payload transport. The multi-UAV payload system has a 2-DOF magnetic spherical joint between the UAVs and the vertical rigid links of the…

Robotics · Computer Science 2022-07-12 Nishanth Rao , Suresh Sundaram

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

We propose a control protocol based on the prescribed performance control (PPC) methodology for a quadrotor unmanned aerial vehicle (UAV). Quadrotor systems belong to the class of underactuated systems for which the original PPC methodology…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Dženan Lapandić , Christos K. Verginis , Dimos V. Dimarogonas , Bo Wahlberg

Understanding the optimization landscape of linear quadratic regulation (LQR) problems is fundamental to the design of efficient reinforcement learning solutions. Recent work has made significant progress in characterizing the landscape of…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Jingliang Duan , Jie Li , Yinsong Ma , Liye Tang , Guofa Li , Liping Zhang , Shengbo Eben Li , Lin Zhao

In this work, we revisit the Linear Quadratic Gaussian (LQG) optimal control problem from a behavioral perspective. Motivated by the suitability of behavioral models for data-driven control, we begin with a reformulation of the LQG problem…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Abed AlRahman Al Makdah , Vishaal Krishnan , Vaibhav Katewa , Fabio Pasqualetti

The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems subject to process and observation noises. In recent years,…

Optimization and Control · Mathematics 2026-03-17 Haoran Li , Xun Li , Yuan-Hua Ni , Xuebo Zhang

This paper studies the performance of a model-free LQR based PID (i-LQR-PID) controller designed for tracking control problem of a 2-DoF laboratory helicopter. The control problem addressed in 2-DoF helicopter system aims to track the…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Nouha Rouis , Ibrahima N'Doye , Taous-Meriem Laleg-Kirati

This paper proposes a model predictive trajectory tracking approach for quadrotors subject to input constraints. Our proposed approach relies on a hierarchical control strategy with an outer-loop feedback generating the required thrust and…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Qian Yang , Miaomiao Wang , Abdelhamid Tayebi

This paper presents a state-of-the-art optimal controller for quadruped locomotion. The robot dynamics is represented using a single rigid body (SRB) model. A linear time-varying model predictive controller (LTV MPC) is proposed by using…

Robotics · Computer Science 2023-10-17 Andrew Zheng , Sriram S. K. S Narayanan

With quadrotor use seeing extensive growth in recent years, the autonomous control of these Unmanned Aerial Vehicles (UAVs) is an increasing relevant and intersting field. In this paper a linear state-space approach at designing a stable…

Systems and Control · Computer Science 2014-10-03 Graeme N. Wilson , Alejandro Ramirez-Serrano , Qiao Sun

In this paper, we present an autonomous flight controller for a quadcopter with thrust vectoring capabilities. This UAV falls in the category of multirotors with tilt-motion enabled rotors. Since the vehicle considered is over-actuated in…

This paper presents a landing controller for a fixed-wing aircraft during the landing phase, ensuring the aircraft reaches the touchdown point smoothly. The landing problem is converted to a finite-time linear quadratic tracking (LQT)…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Solomon Gudeta , Ali Karimoddini

In this paper, a robust linear quadratic optimal control approach for accurate active power tracking of wind turbines is presented. For control synthesis, linear matrix inequalities are employed using an augmented wind turbine state model…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Aaron Grapentin , Christian A. Hans , Jörg Raisch

This paper introduces an $\mathcal{L}_1$ adaptive control augmentation for geometric tracking control of quadrotors. In the proposed design, the $\mathcal{L}_1$ augmentation handles nonlinear (time- and state-dependent) uncertainties in the…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Zhuohuan Wu , Sheng Cheng , Kasey A. Ackerman , Aditya Gahlawat , Arun Lakshmanan , Pan Zhao , Naira Hovakimyan

This work addresses the practical problem of distributed formation tracking control of a group of quadrotor vehicles in a relaxed sensing graph topology with a very limited sensor set, where only one leader vehicle can access the global…

Systems and Control · Electrical Eng. & Systems 2026-01-21 S. Doodeman , Z. Tang , M. Jacinto , R. Cunha , C. Silvestre

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Logan E. Beaver

In this study, a fault-tolerant super-twisting sliding mode controller with a control allocation system for a quadrotor aircraft is proposed. Super twisting sliding mode control is a robust control technique that handles a system with a…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Mehmet Karahan , Mertcan Inal , Cosku Kasnakoglu

This paper presents nonlinear tracking control systems for a quadrotor unmanned aerial vehicle under the influence of uncertainties. Assuming that there exist unstructured disturbances in the translational dynamics and the attitude…

Optimization and Control · Mathematics 2015-05-06 Farhad A. Goodarzi , Daewon Lee , Taeyoung Lee

Quadcopters, as unmanned aerial vehicles (UAVs), have great potential in civil applications such as surveying, building monitoring, and infrastructure condition assessment. Quadcopters, however, are relatively sensitive to noises and…

Systems and Control · Computer Science 2019-01-04 Van Truong Hoang , Ansu Man Singh , Manh Duong Phung , Quang Ha