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Related papers: Global Attitude Stabilization using Pseudo-Targets

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The attitude tracking problem for a full-actuated rigid body in 3D is studied using a impulsive system model based on Lie algebra so(3). A nonlinear homogeneous controller is designed to globally track a smooth attitude trajectory in a…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Yu Zhou , Andrey Polyakov , Gang Zheng

This paper proposes a novel unit-quaternion observer-based controller for attitude tracking (attitude and angular velocity) with guaranteed transient and steady-state performance. The proposed approach is computationally cheap and can…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Hashim A. Hashim

In this paper, we address the problem of attitude synchronization for a group of rigid body systems evolving on SO(3). The interaction among these systems is modeled through an undirected, connected, and acyclic graph topology. First, we…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

The problem of constrained stabilization on the n-sphere under star-shaped constraints is considered. We propose a control strategy that allows to almost globally steer the state to a desired location while avoiding star-shaped constraints…

Optimization and Control · Mathematics 2026-03-05 Mayur Sawant , Abdelhamid Tayebi

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

We develop a switched nonlinear predictor-feedback control law to achieve global asymptotic stabilization for nonlinear systems with arbitrarily long input delay, under state quantization. The proposed design generalizes the nonlinear…

Optimization and Control · Mathematics 2025-01-27 Florent Koudohode , Nikolaos Bekiaris-Liberis

We introduce a new hybrid control strategy, which is conceptually different from the commonly used synergistic hybrid approaches, to efficiently deal with the problem of the undesired equilibria that precludes smooth vectors fields on…

Optimization and Control · Mathematics 2021-08-03 Miaomiao Wang , Abdelhamid Tayebi

This paper considers the problem of nonlinear attitude estimation for a rigid body system using intermittent and multi-rate inertial vector measurements as well as continuous (high-rate) angular velocity measurements. Two types of hybrid…

Systems and Control · Electrical Eng. & Systems 2024-01-09 Miaomiao Wang , Abdelhamid Tayebi

This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both state and output feedback Lagrange stabilization…

Systems and Control · Computer Science 2013-06-27 Hua Ouyang , Ian R. Petersen , Valery Ugrinovskii

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 paper presents a novel passivity-based semi-autonomous attitude control framework, with a particular focus on attitude kinematics defined on the special orthogonal group $SO(3)$. While human-robot interaction facilitates the successful…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Reiji Terunuma , Yuta Nakamura , Takeshi Hatanaka

An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

Mathematical Finance · Quantitative Finance 2021-07-15 Yu-Jui Huang , Xiang Yu

This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The…

Dynamical Systems · Mathematics 2010-10-18 M. De La Sen

In this paper, we address the rigid body pose stabilization problem using dual quaternion formalism. We propose a hybrid control strategy to design a switching control law with hysteresis in such a way that the global asymptotic stability…

Optimization and Control · Mathematics 2017-03-01 Hugo T. M. Kussaba , Luis F. C. Figueredo , João Y. Ishihara , Bruno V. Adorno

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this control problem for the case-study of a second-order system…

Optimization and Control · Mathematics 2023-09-21 Mohamed Maghenem , William Pasillas-Lépine , Antonio Loría , Missie Aguado-Rojas

In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

Optimization and Control · Mathematics 2008-02-29 Iasson Karafyllis

This paper reviews the attitude control problems for rigid-body systems, starting from the attitude representation for rigid body kinematics. Highly redundant rotation matrix defines the attitude orientation globally and uniquely by 9…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Hongye Su , Dandan Zhang

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

Optimization and Control · Mathematics 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

In this paper, we propose a new approach to the attitude control of quadrotors, by which angular velocity measurements or a model-based observer reconstructing the angular velocity are not needed. The proposed approach is based on recent…

Optimization and Control · Mathematics 2021-01-14 Ahmed G. Ghallab , Ian R. Petersen

A global model is presented that can be used to study attitude maneuvers of a rigid spacecraft in a circular orbit about a large central body. The model includes gravity gradient effects that arise from the non-uniform gravity field and…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch