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The rigid-body attitude tracking using vector and biased gyro measurements with unknown inertia matrix is studied in this note. First, a gyro-bias observer with global exponential stability is designed. Then, an attitude tracking controller…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Eduardo Espíndola , Yu Tang

The multi-agent system has been a hot topic in the past few decades owing to its lower cost, higher robustness, and higher flexibility. As a particular multi-agent system, the multiple rigid body system received a growing interest for its…

Systems and Control · Electrical Eng. & Systems 2023-08-29 X. Jin , Daniel W. C. Ho , Y. Tang

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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 2010-10-11 Taeyoung Lee

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

This paper studies a rigid body attitude tracking control problem with attitude measurements only, when angular velocity measurements are not available. An angular velocity observer is constructed such that the estimated angular velocity is…

Optimization and Control · Mathematics 2015-03-26 Tse-Huai Wu , Taeyoung Lee

In this work, we consider a group of robots working together to manipulate a rigid object to track a desired trajectory in $SE(3)$. The robots do not know the mass or friction properties of the object, or where they are attached to the…

Robotics · Computer Science 2021-08-23 Preston Culbertson , Jean-Jacques E. Slotine , Mac Schwager

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 letter, by regarding finite-time stability as an inverse problem, we reveal the essence of finite-time stability and fixed-time stability. Some necessary and sufficient conditions are given. As application, we give a new approach…

Adaptation and Self-Organizing Systems · Physics 2016-02-19 Wenlian Lu , Xiwei Liu , Tianping Chen

This paper presents a new approach to distributed controller design that exploits a partial-structure representation of linear time invariant systems to characterize the structure of a system. This partial-structure representation, called…

Optimization and Control · Mathematics 2012-09-18 Anurag Rai , Sean Warnick

In this paper, a method to synthesize controllers using finite time convergence control barrier functions guided by linear temporal logic specifications for continuous time multi-agent dynamical systems is proposed. Finite time convergence…

Systems and Control · Computer Science 2018-08-08 Mohit Srinivasan , Samuel Coogan , Magnus Egerstedt

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…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Xin Tong , Qingpeng Ding , Haiyang Fang , Shing Shin Cheng

This paper addresses the finite-time non-overshooting leader-following consensus problem for multi-agent systems, whose agents are modeled by a dynamical system topologically equivalent to the integrator chain. Based on the weighted…

Optimization and Control · Mathematics 2024-12-12 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

This paper focuses on the spacecraft attitude control problem with intermittent actuator activation, taking into account the attitude rotation rate limitation and input saturation issue simultaneously. To address this problem, we first…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Jiakun Lei , Tao Meng , Kun Wang , Weijia Wang , Shujian Sun

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

The attitude stabilization of a micro-satellite employing a variable-amplitude cold gas thruster which reflects as a time varying gain on the control input is considered. Existing literature uses a persistence filter based approach that…

Systems and Control · Electrical Eng. & Systems 2022-07-15 S. P. Arjun Ram , Maruthi R Akella

In this paper, we study the problem of extremum seeking control for mechanical systems in dissipation-free environments. This includes attitude control of satellites in space and displacement control of rigid bodies in ideal fluids. The…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner , Miroslav Krstic