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This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

最优化与控制 · 数学 2017-11-28 Shankar Kulumani , Taeyoung Lee

This paper presents global tracking strategies for the attitude dynamics of a rigid body. It is well known that global attractivity is prohibited for continuous attitude control systems on the special orthogonal group. Such topological…

最优化与控制 · 数学 2017-08-28 Taeyoung Lee , Dong-Eui Chang , Yongsoon Eun

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…

系统与控制 · 电气工程与系统科学 2025-10-14 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

最优化与控制 · 数学 2016-02-16 Shankar Kulumani , Christopher Poole , Taeyoung Lee

This paper provides new results for a 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 complexities and…

最优化与控制 · 数学 2010-10-11 Taeyoung Lee

We consider the problem of distributed attitude estimation of multi-agent systems, evolving on $SO(3)$, relying on individual angular velocity and relative attitude measurements. The interaction graph topology is assumed to be an undirected…

系统与控制 · 电气工程与系统科学 2024-05-17 Mouaad Boughellaba , Abdelhamid Tayebi

This paper addresses the distributed attitude synchronization problem for a network of rigid-body systems on the special orthogonal group SO(3). Each agent measures, in its body frame, its own angular velocity and a set of vectors whose…

系统与控制 · 电气工程与系统科学 2026-04-07 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

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…

最优化与控制 · 数学 2021-08-03 Miaomiao Wang , Abdelhamid Tayebi

The topological obstructions on the attitude space of a rigid body make global asymptotic stabilization impossible using continuous state-feedback. This paper presents novel algorithms to overcome such topological limitations and achieve…

系统与控制 · 计算机科学 2018-11-06 Mahathi Bhargavapuri , Soumya Ranjan Sahoo , Mangal Kothari

This paper presents tracking control laws for two different objectives of a nonholonomic system - a spherical robot - using a geometric approach. The first control law addresses orientation tracking using a modified trace potential…

系统与控制 · 计算机科学 2016-12-15 Sneha Gajbhiye , Ravi N. Banavar

We propose a new central synergistic hybrid approach for global exponential stabilization on the Special Orthogonal group SO(3). We introduce a new switching concept relying on a central family of (possibly) non-differentiable potential…

最优化与控制 · 数学 2016-12-26 Soulaimane Berkane , Abdelkader Abdessameud , Abdelhamid Tayebi

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…

系统与控制 · 电气工程与系统科学 2026-05-26 Reiji Terunuma , Yuta Nakamura , Takeshi Hatanaka

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…

系统与控制 · 电气工程与系统科学 2023-07-04 Yu Zhou , Andrey Polyakov , Gang Zheng

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…

最优化与控制 · 数学 2026-03-05 Mayur Sawant , Abdelhamid Tayebi

This paper presents four types of tracking control systems for the attitude dynamics of a rigid body. First, a smooth control system is constructed to track a given desired attitude trajectory, while guaranteeing almost semi-global…

最优化与控制 · 数学 2014-12-10 Taeyoung Lee

This letter presents a novel control solution to the robust global position and heading tracking problem for underactuated vehicles, equipped with single-axis thrust and full torque actuation, operating under strict, user-defined actuation…

系统与控制 · 电气工程与系统科学 2026-03-20 Luís Martins , Carlos Cardeira , Paulo Oliveira

This paper investigates the robust global attitude stabilization problem for a rigid-body system using quaternion-based feedback. We propose a novel synergistic hybrid feedback with the following notable features: (1) It demonstrates…

系统与控制 · 电气工程与系统科学 2024-08-05 Xin Tong , Qingpeng Ding , Haiyang Fang , Shing Shin Cheng

An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper deals with the leader-follower attitude synchronization problem for a group of heterogeneous rigid body systems on $SO(3)$ under an undirected, connected, and acyclic graph communication topology. The proposed distributed control…

系统与控制 · 电气工程与系统科学 2026-01-28 Yiliang Li , Jun-e Feng , Abdelhamid Tayebi

This paper addresses the attitude tracking of a rigid body using a quaternion description. Global finite-time attitude controllers are designed with three types of measurements, namely, full states, attitude plus constant-biased angular…

最优化与控制 · 数学 2017-12-12 Haichao Gui , George Vukovich
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