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We present a comprehensive study on discrete morphological symmetries of dynamical systems, which are commonly observed in biological and artificial locomoting systems, such as legged, swimming, and flying animals/robots/virtual characters.…

Robotics · Computer Science 2023-07-27 Daniel Ordonez-Apraez , Mario Martin , Antonio Agudo , Francesc Moreno-Noguer

Self-navigation in non-coordinating crowded environments is formidably challenging within multi-agent systems consisting of non-holonomic robots operating through local sensing. Our primary objective is the development of a novel, rapid,…

Robotics · Computer Science 2024-01-18 Veejay Karthik J , Leena Vachhani

The problem of self-tuning control of cooperative manipulators forming a closed kinematic chain in the presence of an inaccurate kinematics model is addressed using adaptive machine learning. The kinematic parameters pertaining to the…

Robotics · Computer Science 2022-09-07 Farhad Aghili

This paper presents nonlinear tracking control systems for a quadrotor unmanned aerial vehicle under the influence of uncertainties. Assuming that there exist unstructured disturbances in the translational dynamics and the attitude…

Optimization and Control · Mathematics 2015-05-06 Farhad A. Goodarzi , Daewon Lee , Taeyoung Lee

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…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yiliang Li , Jun-e Feng , Abdelhamid Tayebi

This paper gives a summary of a body of work at the intersection of control theory and smooth nonlinear dynamics. The main idea is to transfer the concept of uniform hyperbolicity, central to the theory of smooth dynamical systems, to…

Optimization and Control · Mathematics 2017-01-16 Christoph Kawan

Inverse kinematics is a fundamental technique for motion and positioning control in robotics, typically applied to end-effectors. In this paper, we extend the concept of inverse kinematics to guiding vector fields for path following in…

Robotics · Computer Science 2025-02-25 Yu Zhou , Jesús Bautista , Weijia Yao , Héctor García de Marina

A (discrete) dynamical system may have various symmetries and reversing symmetries, which together form its so-called reversing symmetry group. We study the set of 3D trace maps (obtained from two-letter substitution rules) which preserve…

Dynamical Systems · Mathematics 2007-05-23 Michael Baake , John A. G. Roberts

In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Chaoqun Guo , Jiangping Hu , Jiasheng Hao , Sergej Celikovsky , Xiaoming Hu

In the formation control problem for autonomous robots a distributed control law steers the robots to the desired target formation. A local stability result of the target formation can be derived by methods of linearization and center…

Optimization and Control · Mathematics 2010-01-26 Florian Dorfler , Bruce Francis

Many nonlinear dynamical systems exhibit symmetry, affording substantial benefits for control design, observer architecture, and data-driven control. While the classical notion of group invariance enables a cascade decomposition of the…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Jake Welde , Pieter van Goor

This paper proposes a sliding mode controller with smooth control effort for a class of nonlinear plants. The proposed controller is created by allowing some constant parameters of the earlier smooth sliding control (SSC) to vary as a…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Alessandro Jacoud Peixoto , Wenderson G. Serrantola , Fernando Lizarralde

This paper considers the leader-follower tracking control problem for linear interconnected systems with undirected topology and linear dynamic coupling. Interactions between the systems are treated as linear dynamic uncertainty and are…

Systems and Control · Computer Science 2015-02-17 Yi Cheng , V. Ugrinovskii

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

We propose a learning-based trajectory tracking controller for autonomous robotic platforms whose motion can be described kinematically on $\mathrm{SE}(3)$. The controller is formulated in the dual quaternion framework and operates at the…

Robotics · Computer Science 2026-01-07 Omayra Yago Nieto , Alexandre Anahory Simoes , Juan I. Giribet , Leonardo Colombo

We propose a tracking control law for the fully actuated rigid body system in the presence of any unknown constant disturbance by employing quaternions with the stable embedding technique and Lyapunov stability theory. The stable embedding…

Optimization and Control · Mathematics 2020-10-06 Wonshick Ko , Karmvir Singh Phogat , Nicolas Petit , Dong Eui Chang

In this article, we address the control problem of unicycle path following, using a rigidly attached target point. The initial path following problem has been transformed into a reference trajectory following problem, using saturated…

Optimization and Control · Mathematics 2013-03-22 S. Laghrouche , Y. Chitour , M. Harmouche , F. S. Ahmed

In this paper, we introduce a consistency-driven dual LSTM framework for accurately learning both the forward and inverse kinematics of a pneumatically actuated soft robotic arm integrated into a wearable device. This approach effectively…

Robotics · Computer Science 2026-03-19 Xingyu Chen , Yi Xiong , Li Wen

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 considers a collaborative tracking control problem using a group of fixed-wing unmanned aerial vehicles (UAVs) with constant and non-identical speeds. The dynamics of fixed-wing UAVs are modelled by unicycle-type equations with…

Systems and Control · Computer Science 2020-09-04 Zhiyong Sun , Hector Garcia de Marina , Brian D. O. Anderson , Changbin Yu