scholarly journals Decentralized Discrete-Time Formation Control for Multirobot Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
E. G. Hernandez-Martinez ◽  
J. J. Flores-Godoy ◽  
G. Fernandez-Anaya
Keyword(s):  
Discrete Time ◽  
Formation Control ◽  
Group Behavior ◽  
Formal Proof ◽  
Attractive Potential ◽  
Multirobot Systems ◽  
Team Members ◽  
Group Motion ◽  
Formation Pattern ◽  
Biological Entities

Inspired from the collective behavior of biological entities for the group motion coordination, this paper analyzes the formation control of mobile robots in discrete time where each robot can sense only the position of certain team members and the group behavior is achieved through the local interactions of robots. The main contribution is an original formal proof about the global convergence to the formation pattern represented by an arbitrary Formation Graph using attractive potential functions. The analysis is addressed for the case of omnidirectional robots with numerical simulations.

scholarly journals An Adaptive -Based Formation Control for Multirobot Systems

ISRN Robotics ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Faridoon Shabani ◽  
Bijan Ranjbar ◽  
Ali Ghadamyari
Keyword(s):  
Formation Control ◽  
Degrees Of Freedom ◽  
Autonomous Systems ◽  
Approximation Error ◽  
Formal Proof ◽  
Multirobot Systems ◽  
External Disturbances ◽  
Input Nonlinearity ◽  
Formation Problem ◽  
Definition Of

We describe a decentralized formation problem for multiple robots, where an formation controller is proposed. The network of dynamic agents with external disturbances and uncertainties are discussed in formation problems. We first describe how to design social potential fields to obtain a formation with the shape of a polygon. Then, we provide a formal proof of the asymptotic stability of the system, based on the definition of a proper Lyapunov function and technique. The advantages of the proposed controller can be listed as robustness to input nonlinearity, external disturbances, and model uncertainties, while applicability on a group of any autonomous systems with -degrees of freedom. Finally, simulation results are demonstrated for a multiagent formation problem of a group of six robots, illustrating the effective attenuation of approximation error and external disturbances, even in the case of agent failure or leader tracking.

scholarly journals Quadrotor Formation Strategies Based on Distributed Consensus and Model Predictive Controls

2018 ◽  
Vol 8 (11) ◽  
pp. 2246 ◽  
Author(s):  
Chia-Wei Chang ◽  
Jaw-Kuen Shiau
Keyword(s):  
Formation Control ◽  
Vertical Motion ◽  
Formation Flight ◽  
Horizontal Motion ◽  
Motion Simulation ◽  
Linear Quadratic ◽  
Distributed Consensus ◽  
Consensus Control ◽  
Formation Pattern ◽  
The Given

In this study, the distributed consensus control and model predictive control (MPC)-based formation strategies for quadrotors are proposed. First, the formation-control problem is decoupled into horizontal and vertical motions. The distributed consensus control and MPC-based formation strategy are implemented in the follower’s horizontal formation control. In the horizontal motion, the leader tracks the given waypoints by simply using the MPC, and generates the desired formation trajectory for each follower based on its flight information, predicted trajectory, and the given formation pattern. On the other hand, the followers carry out the formation flight based on the proposed horizontal formation strategy and the desired formation trajectories generated by the leader. In the vertical motion, formation control is carried out using only the MPC for both the leader and the follower. Likewise, the leader tracks the desired altitude/climb rate and generates the desired formation trajectories for the followers, and the followers track the desired formation trajectories generated by the leader using the MPC. The optimization problem considered in the MPC differs for the horizontal and vertical motions. The problem is formulated as a quadratic programming (QP) problem for the horizontal motion, and as a linear quadratic tracker (LQT) for the vertical motion. Simulation of a comprehensive maneuver was carried out under a Matlab/Simulink environment to examine the performance of the proposed formation strategies.

scholarly journals Velocity Free Platoon Formation Control for Unmanned Surface Vehicles with Output Constraints and Model Uncertainties

2020 ◽  
Vol 10 (3) ◽  
pp. 1118 ◽  
Author(s):  
Duansong Wang ◽  
Mingyu Fu ◽  
Shuzhi Sam Ge ◽  
Dongyu Li
Keyword(s):  
Lyapunov Functions ◽  
Formation Control ◽  
Model Uncertainties ◽  
Model Based Control ◽  
Unmanned Surface Vehicles ◽  
Output Constraints ◽  
Formation Pattern ◽  
The Neural Networks ◽  
Communication Distance ◽  
Barrier Lyapunov Functions

This paper studies the velocity free platoon formation control for unmanned surface vehicles (USVs) with the model uncertainties and output constraints. Firstly, a reconstruction module is designed to estimate the velocity of the leader, which will be completed in finite time and will reduce the communication burden. Along with this, the model-based control combined with the symmetric barrier Lyapunov functions (BLF) method is designed to guarantee the output constraints. Then, the model uncertainties of the USV are approximated by the neural networks (NNs) and the NN BLF control is developed. To achieve the desired formation pattern, the constraints, including collision avoidance and communication distance, are under consideration. Finally, we proved that our system is semiglobally uniformly ultimately bounded (SGUUB) and verified the effectiveness of this approach by simulations.

scholarly journals Distance-Based Formation Control for Quadrotors with Collision Avoidance via Lyapunov Barrier Functions

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Jawhar Ghommam ◽  
Luis F. Luque-Vega ◽  
Maarouf Saad
Keyword(s):  
Collision Avoidance ◽  
Tracking Control ◽  
Formation Control ◽  
Closed Loop ◽  
Group Formation ◽  
Closed Loop System ◽  
Relative Localization ◽  
Formation Pattern ◽  
Set Up ◽  
The Stability

In this paper, group formation control with collision avoidance is investigated for heterogeneous multiquadrotor vehicles. Specifically, the distance-based formation and tracking control problem are addressed in the framework of leader-follower architecture. In this scheme, the leader is assigned the task of intercepting a target whose velocity is unknown, while the follower quadrotors are arranged to set up a predefined rigid formation pattern, ensuring simultaneously interagent collision avoidance and relative localization. The adopted strategy for the control design consists in decoupling the quadrotor dynamics in a cascaded structure to handle its underactuated property. Furthermore, by imposing constraints on the orientation angles, the follower will never be overturned. Rigorous stability analysis is presented to prove the stability of the entire closed-loop system. Numerical simulation results are presented to validate the proposed control strategy.

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