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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

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

This paper describes the design of a linear quadratic gaussian (LQG) for trajectory tracking control of UAV Bicopter. In this work, disturbance in the form of payload significantly affects the trajectory tracking control process on the UAV…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Fahmizal , Hanung Adi Nugroho , Adha Imam Cahyadi , Igi Ardiyanto

Robots exhibit a rich variety of symmetries arising from their mechanical structure and the properties of their tasks. Although many robotics problems exhibit several symmetries simultaneously, existing approaches typically treat them in…

Robotics · Computer Science 2026-05-22 Loizos Hadjiloizou , Rodrigo Pérez-Dattari , Noémie Jaquier

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 studies the kinematic tracking control problem for aerial manipulators. Existing kinematic tracking control methods, which typically employ proportional-derivative feedback or tracking-error-based feedback strategies, may fail to…

Robotics · Computer Science 2026-01-21 Huazi Cao , Jiahao Shen , Zhengzhen Li , Qinquan Ren , Shiyu Zhao

Bidirectional thrust grants quadrotors a second equilibrium condition and increased control authority, expanding the envelope of possible aggressive maneuvers and enabling inverted flight, perching, and sensing. Prior geometric control…

The quadrotor unmanned aerial vehicle is a great platform for control systems research as its nonlinear nature and under-actuated configuration make it ideal to synthesize and analyze control algorithms. After a brief explanation of the…

Systems and Control · Computer Science 2016-02-09 Andrew Zulu , Samuel John

This paper is focused on tracking control for a rigid body payload, that is connected to an arbitrary number of quadrotor unmanned aerial vehicles via rigid links. A geometric adaptive controller is constructed such that the payload…

Optimization and Control · Mathematics 2015-03-05 Taeyoung Lee

The trajectory tracking problem is a fundamental control task in the study of mechanical systems. A key construction in tracking control is the error or difference between an actual and desired trajectory. This construction also lies at the…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Matthew Hampsey , Pieter van Goor , Ravi Banavar , Robert Mahony

This paper presents contributions on nonlinear tracking control systems for a quadrotor unmanned micro aerial vehicle. New controllers are proposed based on nonlinear surfaces composed by tracking errors that evolve directly on the…

Optimization and Control · Mathematics 2018-11-13 Michalis Ramp , Evangelos Papadopoulos

Symmetries of nonlinear control systems in state representation are considered. To this end, a geometric approach to ordinary differential equations is advocated. Invariant feedback laws for systems with Lie symmetries, i.e. feedback laws…

Optimization and Control · Mathematics 2012-06-22 Carsten Collon , Joachim Rudolph

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 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

Stabilization and trajectory control of a quadrotor carrying a suspended load with a fixed known mass has been extensively studied in recent years. However, the load mass is not always known beforehand or may vary during the practical…

Robotics · Computer Science 2016-12-14 Xu Zhou , Xiaoli Zhang , Jiucai Zhang , Rui Liu

This paper provides new results for a robust adaptive tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid…

Optimization and Control · Mathematics 2011-09-05 Taeyoung Lee

This paper provides new results for control of complex flight maneuvers for a quadrotor unmanned aerial vehicle (UAV). The flight maneuvers are defined by a concatenation of flight modes or primitives, each of which is achieved by a…

Optimization and Control · Mathematics 2011-09-13 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper presents a review of the design and application of model predictive control strategies for Micro Aerial Vehicles and specifically multirotor configurations such as quadrotors. The diverse set of works in the domain is organized…

Robotics · Computer Science 2020-11-24 Huan Nguyen , Mina Kamel , Kostas Alexis , Roland Siegwart

An omnidirectional multirotor has the maneuverability of decoupled translational and rotational motions, superseding the traditional multirotors' motion capability. Such maneuverability is achieved due to the ability of the omnidirectional…

Robotics · Computer Science 2025-01-03 Hyungyu Lee , Sheng Cheng , Zhuohuan Wu , Jaeyoung Lim , Roland Siegwart , Naira Hovakimyan

This paper presents an adaptive modified Robust Inverse of Signum Error (AM-RISE) control method, which achieves reliable trajectory tracking control for a quadrotor unmanned aerial vehicle. The proposed method systematically accounts for…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Kevin Johnston , Musabbir Ahmed Arrafi , Krishna B Kidambi , Madhur Tiwari