Rigid Formation Control on a Sphere: A Heterogeneous System Approach
Contact us if these videos are not relevant.
Contact us if these videos are not relevant.
View abstract on PubMed
Summary
This summary is machine-generated.This study develops autonomous systems for multiagent systems to track targets on a sphere. It achieves complete or practical rendezvous using attraction forces and velocity alignment, confirmed by simulations.
Area Of Science
- Robotics
- Control Theory
- Multiagent Systems
Background
- Heterogeneous multiagent systems require robust tracking and rendezvous capabilities.
- Coordinated motion on spherical manifolds presents unique challenges.
Purpose Of The Study
- To design autonomous systems for multiagent target tracking on a unit sphere.
- To achieve asymptotic rendezvous between agents and targets in formation.
Main Methods
- Utilizing attraction forces and velocity alignment for autonomous control.
- Deriving systems for complete rendezvous (position, velocity, acceleration) and practical rendezvous (position, velocity).
- Employing frame-rotation-structure decomposition and spherical geometry for analysis.
Main Results
- Exponential convergence for complete rendezvous when full target state information is available.
- Mathematical analysis for practical rendezvous with limited target state information.
- Validation of results through numerical simulations.
Conclusions
- The proposed methods enable effective multiagent rendezvous and formation control on a sphere.
- The study contributes to understanding coordinated dynamics in spherical environments.
- Applications include boundary patrolling for multiagent systems.
Contact us if these videos are not relevant.
Contact us if these videos are not relevant.
Related Concept Videos
The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...
Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...
A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
In order to solve the problem, the steps for rigid...
A rigid body is said to be in static equilibrium when the net force and the net torque acting on the system is equal to zero. To solve for rigid body equilibrium problems, do the following steps.
Step 1: Identify the object to be analyzed and all forces acting on the object. In addition, identify the known and unknown variables in the given problem.
Step 2: Set up a free-body diagram for the object. Choose the xy-reference frame for the problem. Draw a free-body diagram of the object,...
Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
In the context of a detention basin, the conservation of mass states that the total mass of water entering the basin must equal the mass leaving the basin plus any accumulation of...
Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in space.
Planar motion is typically divided into three distinct categories. The first is rectilinear translation, demonstrated by a subway train that moves along...