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In this paper, we address the problem of stabilizing a system around a desired manifold determined by virtual nonlinear nonholonomic constraints. Virtual constraints are relationships imposed on a control system that are rendered invariant…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

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

Tilt-rotor aerial robots enable omnidirectional maneuvering through thrust vectoring, but introduce significant control challenges due to the strong coupling between joint and rotor dynamics. While model-based controllers can achieve high…

Robotics · Computer Science 2026-02-26 Wentao Zhang , Zhaoqi Ma , Jinjie Li , Huayi Wang , Haokun Liu , Junichiro Sugihara , Chen Chen , Yicheng Chen , Moju Zhao

The dead-zone is one of the most common hard nonlinearities in industrial actuators and its presence may drastically compromise control systems stability and performance. In this work, an adaptive variable structure controller is proposed…

Systems and Control · Electrical Eng. & Systems 2022-05-30 Wallace Moreira Bessa

This paper introduces a framework for learning a minimum-norm stabilizing controller for a system with unknown dynamics using model-free policy optimization methods. The approach begins by first designing a Control Lyapunov Function (CLF)…

Optimization and Control · Mathematics 2020-10-02 Tyler Westenbroek , Fernando Castaneda , Ayush Agrawal , S. Shankar Sastry , Koushil Sreenath

This paper considers a class of rotary-wing aerial robots with unaligned propellers. By studying the dynamics of these vehicles, we show that the position and heading angle remain flat outputs of the system (similar to conventional…

Robotics · Computer Science 2019-05-17 Bingguo Mu , Pakpong Chirarattananon

This paper provides nonlinear tracking control systems for a quadrotor unmanned aerial vehicle (UAV) that are robust to bounded uncertainties. A mathematical model of a quadrotor UAV is defined on the special Euclidean group, and nonlinear…

Optimization and Control · Mathematics 2011-09-22 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Over the past few decades, continuous quaternion-based attitude control has been proven highly effective for driving rotational systems that can be modeled as rigid bodies, such as satellites and drones. However, methods rooted in this…

Robotics · Computer Science 2025-10-31 Francisco M. F. R. Gonçalves , Ryan M. Bena , Néstor O. Pérez-Arancibia

This paper presents a comprehensive modeling and control framework for a low-cost multirotor hybrid aerial-aquatic vehicle (MHAUV) capable of seamless air-water transitions. A hybrid dynamics model is proposed to account for the distinct…

Systems and Control · Electrical Eng. & Systems 2025-07-08 RenKai Wang , ZhiGang Shang

This paper applies the recently developed framework for integral control on nonlinear spaces to two non-standard cases. First, we show that the property of perfect target stabilization in presence of actuation bias holds also if this bias…

Optimization and Control · Mathematics 2016-03-18 Zhifei Zhang , Zhihao Ling , Alain Sarlette

We introduce a new class of attitude control laws for rotational systems; the proposed framework generalizes the use of the Euler \mbox{axis--angle} representation beyond quaternion-based formulations. Using basic Lyapunov stability theory…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Francisco M. F. R. Gonçalves , Ryan M. Bena , Néstor O. Pérez-Arancibia

In this paper, we consider the tracking control problem for robot manipulators which are affected by constant bounded disturbances. Three control schemes are applied for the problem, which composed of integral action and tracking…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Amir. A. Ghavifekr , Saeed Pezeshki , Arash Arjmandi

This letter considers model predictive control of a tandem-rotor helicopter. The error is formulated using the matrix Lie group $SE_2(3)$. A reference trajectory to a target is calculated using a quartic guidance law, leveraging the…

Optimization and Control · Mathematics 2022-06-15 Faraaz Ahmed , Ludwik Sobiesiak , James Richard Forbes

This paper addresses the trajectory tracking control problem for underactuated VTOL UAVs. According to the different actuation mechanisms, the most common UAV platforms can achieve only a partial decoupling of attitude and position tasks.…

Optimization and Control · Mathematics 2019-04-11 Davide Invernizzi , Marco Lovera , Luca Zaccarian

Control Lyapunov function is a central tool in stabilization. It generalizes an abstract energy function -- a Lyapunov function -- to the case of controlled systems. It is a known fact that most control Lyapunov functions are non-smooth --…

Optimization and Control · Mathematics 2022-11-08 Pavel Osinenko , Grigory Yaremenko , Georgiy Malaniya

In this work, we investigate the state stabilization and trajectory tracking problems of underactuated surface ships with full state model of having non-diagonal inertia and damping matrices. By combining the novel state transformations,…

Optimization and Control · Mathematics 2011-11-07 Ma Bao-Li

This work proposes a data-driven modeling and the corresponding hybrid motion control framework for unmanned and automated operation of industrial heavy-load hydraulic manipulator. Rather than the direct use of a neural network black box,…

Robotics · Computer Science 2026-01-15 Dexian Ma , Yirong Liu , Wenbo Liu , Bo Zhou

Fully actuated omnidirectional UAVs enable independent control of forces and torques along all six degrees of freedom, broadening the operational envelope for agile flight and aerial interaction tasks. However, conventional control…

An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

Optimization and Control · Mathematics 2009-01-20 Viktor Ten

This MS thesis outlines my contributions to the closed loop control and system integration of two robotic platforms: 1) Aerobat, a flapping wing robot stabilized by air jets, and 2) Harpy, a bipedal robot equipped with dual thrusters. Both…

Robotics · Computer Science 2025-01-06 Aniket Shashikant Dhole
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