Attitude Coordination Control of Spacecraft Formation

2012 ◽  
Vol 263-266 ◽  
pp. 795-802
Author(s):  
Man Guo Liu ◽  
Ke Zhang
Keyword(s):  
Lyapunov Stability Theory ◽  
System Stability ◽  
Switching Topology ◽  
Attitude Dynamics ◽  
External Disturbances ◽  
Spacecraft Formation ◽  
Lagrange Form ◽  
Decentralized Controllers ◽  
Directed Information ◽  
Attitude Synchronization

In this paper, we study adaptive attitude synchronization of spacecraft formation with switching topology. By introducing a novel adaptive control architecture and by transforming the attitude dynamics into Euler-Lagrange form, decentralized controllers are developed, which allow for parametric uncertainties and unknown external disturbances. Based upon graph theory and Lyapunov stability theory, rigid mathematical analysis on system stability is provided. A distinctive feature of this work is to address the adaptive attitude synchronization with general directed information flow. It is shown that arbitrary desired constant relative orientations within the group or with respect to any external references can be attained. Simulation results are provided to demonstrate the effectiveness of the obtained results.

scholarly journals Modeling And Control Of Spacecraft Systems With Coupled Orbital And Attitude Dynamics

2021 ◽  
Author(s):  
Alexander Frias
Keyword(s):  
Angular Velocity ◽  
Formation Flying ◽  
Attitude Dynamics ◽  
Contributing Factors ◽  
External Disturbances ◽  
Modeling And Control ◽  
Orbital Radius ◽  
Spacecraft Formation ◽  
Spacecraft Formation Flying ◽  
And Control

Spacecraft formation flying with coupled orbital-attitude dynamics is one of the most intriguing topics in the field of astronautics. Orbital-attitude coupling is induced when a non-symmetrical spacecraft in orbit is disturbed by means of active maneuvering or by external disturbances. Direct contributing factors to the coupled dynamics include the orbital radius, the gravitational parameter and the orbital angular velocity. Disturbance due to coupling is inherently weak in nature (in the order of magnitudes of 10

scholarly journals Discontinuous High-Gain Observer in a Robust Control UAV Quadrotor: Real-Time Application for Watershed Monitoring

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
A. E. Rodríguez-Mata ◽  
G. Flores ◽  
A. H. Martínez-Vásquez ◽  
Z. D. Mora-Felix ◽  
R. Castro-Linares ◽  
...  
Keyword(s):  
Control Algorithm ◽  
Lyapunov Stability Theory ◽  
High Gain ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Attitude Dynamics ◽  
Parameter Uncertainties ◽  
External Disturbances ◽  
High Gain Observer ◽  
Digital Elevation

A control algorithm that is robust with respect to wind disturbances for a quadrotor UAV attitude dynamics is presented. The proposed approach consists of a high-gain observer based on a discontinuous technique. Such an algorithm is embedded on board the quadrotor. The high-gain observer estimates external disturbances such as wind and parameter uncertainties, and a control algorithm is designed to compensate these undesired effects. The observer design is based on Lyapunov stability theory; simulation results and experiments validate the nonlinear observer performance and robustness of the approach under windy conditions. Also, a photogrammetry survey was carried out to develop Digital Elevation Models in order to experimentally demonstrate the effectiveness of our approach. The accuracy of such models was compared and the performance improvement is demonstrated.

scholarly journals Modeling And Control Of Spacecraft Systems With Coupled Orbital And Attitude Dynamics

2021 ◽  
Author(s):  
Alexander Frias
Keyword(s):  
Angular Velocity ◽  
Formation Flying ◽  
Attitude Dynamics ◽  
Contributing Factors ◽  
External Disturbances ◽  
Modeling And Control ◽  
Orbital Radius ◽  
Spacecraft Formation ◽  
Spacecraft Formation Flying ◽  
And Control

Spacecraft formation flying with coupled orbital-attitude dynamics is one of the most intriguing topics in the field of astronautics. Orbital-attitude coupling is induced when a non-symmetrical spacecraft in orbit is disturbed by means of active maneuvering or by external disturbances. Direct contributing factors to the coupled dynamics include the orbital radius, the gravitational parameter and the orbital angular velocity. Disturbance due to coupling is inherently weak in nature (in the order of magnitudes of 10

scholarly journals Complex dynamical behaviors of a novel exponential hyper–chaotic system and its application in fast synchronization and color image encryption

2021 ◽  
Vol 104 (1) ◽  
pp. 003685042110033
Author(s):  
Javad Mostafaee ◽  
Saleh Mobayen ◽  
Behrouz Vaseghi ◽  
Mohammad Vahedi ◽  
Afef Fekih
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Sliding Mode ◽  
Color Image ◽  
Equilibrium Points ◽  
Lyapunov Stability Theory ◽  
System Stability ◽  
Color Image Encryption ◽  
Terminal Sliding Mode ◽  
Finite Time Stability

This paper proposes a novel exponential hyper–chaotic system with complex dynamic behaviors. It also analyzes the chaotic attractor, bifurcation diagram, equilibrium points, Poincare map, Kaplan–Yorke dimension, and Lyapunov exponent behaviors. A fast terminal sliding mode control scheme is then designed to ensure the fast synchronization and stability of the new exponential hyper–chaotic system. Stability analysis was performed using the Lyapunov stability theory. One of the main features of the proposed controller is the finite time stability of the terminal sliding surface designed with high–order power function of error and derivative of error. The approach was implemented for image cryptosystem. Color image encryption was carried out to confirm the performance of the new hyper–chaotic system. For image encryption, the DNA encryption-based RGB algorithm was used. Performance assessment of the proposed approach confirmed the ability of the proposed hyper–chaotic system to increase the security of image encryption.

scholarly journals Distributed Attitude Synchronization for Spacecraft Formation Flying via Event-Triggered Control

2021 ◽  
Vol 11 (14) ◽  
pp. 6299
Author(s):  
Xiong Xie ◽  
Tao Sheng ◽  
Liang He
Keyword(s):  
Control System ◽  
Formation Flying ◽  
Spacecraft Formation ◽  
Spacecraft Formation Flying ◽  
Control Scheme ◽  
Event Triggering ◽  
Computational Resources ◽  
Update Frequency ◽  
Attitude Synchronization ◽  
Event Triggered

The distributed attitude synchronization control problem for spacecraft formation flying subject to limited energy and computational resources is addressed based on event-triggered mechanism. Firstly, a distributed event-driven controller is designed to achieve attitude coordination with the limitation of energy and computing resources. Under the proposed control strategy, the controller is only updated at the event triggering instants, which effectively reduces the update frequency. Subsequently, an event-triggered strategy is developed to further decrease energy consumption and the amount of computation. The proposed event-triggered function only requires the latest state information about its neighbors, implying that the trigger threshold does not need to be calculated continuously. It is shown that the triggering interval between two successive events is strictly positive, showing that the control system has no Zeno phenomenon. Moreover, the update frequency of the proposed controller can be reduced by more than 90% compared to the update frequency of the corresponding time-driven controller with an update frequency of 10 Hz by choosing appropriate control parameters and the control system can still achieve high-precision convergence. Finally, the effectiveness of the constructed control scheme is verified by numerical simulations.

Adaptive neural fault-tolerant control for course tracking of unmanned surface vehicle with event-triggered input

2021 ◽  
pp. 095965182110131
Author(s):  
Guoqing Zhang ◽  
Shen Gao ◽  
Jiqiang Li ◽  
Weidong Zhang
Keyword(s):  
Neural Control ◽  
Fault Tolerant ◽  
Lyapunov Stability Theory ◽  
Actuator Faults ◽  
Closed Loop System ◽  
External Disturbances ◽  
Unmanned Surface Vehicle ◽  
Adaptive Parameters ◽  
Control Gain ◽  
Event Triggered

This study investigates the course-tracking problem for the unmanned surface vehicle in the presence of constraints of the actuator faults, control gain uncertainties, and environmental disturbance. A novel event-triggered robust neural control algorithm is proposed by fusing the robust neural damping technique and the event-triggered input mechanism. In the algorithm, no prior information of the system model about the unknown yawing dynamic parameters and unknown external disturbances is required. The transmission burden between the controller and the actuator could be relieved. Moreover, the control gain-related uncertainties and the unknown actuator faults are compensated through two updated online adaptive parameters. Sufficient effort has been made to verify the semi-global uniform ultimate bounded stability for the closed-loop system based on Lyapunov stability theory. Finally, simulation results are presented to illustrate the effectiveness and superiority of the proposed algorithm.

ADAPTIVE OBSERVER BASED SYNCHRONIZATION OF A CLASS OF UNCERTAIN CHAOTIC SYSTEMS

2008 ◽  
Vol 18 (08) ◽  
pp. 2425-2435 ◽  
Author(s):  
SAMUEL BOWONG ◽  
RENÉ YAMAPI
Keyword(s):  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Observer ◽  
Adaptive Synchronization ◽  
External Disturbances ◽  
Parameter Mismatch ◽  
Lipschitz Constants ◽  
Response Systems ◽  
Uncertain Chaotic Systems ◽  
Robust Adaptive

This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices and bounds on uncertainties are unknown. Numerical simulation of two illustrative examples are given to verify the effectiveness of the proposed method.

Robust fault-tolerant control design for hypersonic vehicle with input saturation and actuator faults

2021 ◽  
pp. 095441002110412
Author(s):  
Zhong-Zhe Yue ◽  
Jing-Guang Sun
Keyword(s):  
Feedback Linearization ◽  
Fault Tolerant ◽  
Input Saturation ◽  
Lyapunov Stability Theory ◽  
Hypersonic Vehicle ◽  
Actuator Faults ◽  
Closed Loop System ◽  
External Disturbances ◽  
Longitudinal Tracking ◽  
Tangent Function

This study investigates the flight longitudinal tracking control problem of hypersonic vehicle in presence of the input saturation, external disturbances, model parametric uncertainties, and actuator faults. First, the velocity and altitude subsystem are established with disturbances based on the feedback linearization model. Second, two robust anti-saturation fault-tolerant controllers are designed for the velocity subsystem and altitude subsystem by the utilization of the tangent function, Nussbaum function, and adaptive nonlinear filter. Finally, Lyapunov stability theory is used to prove that the states of the closed-loop system are bounded. And, the effectiveness and robustness of the control strategy are proved by numerical simulations.

scholarly journals Consensus of Multiagent Systems Described by Various Noninteger Derivatives

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
G. Nava-Antonio ◽  
G. Fernández-Anaya ◽  
E. G. Hernández-Martínez ◽  
J. J. Flores-Godoy ◽  
E. D. Ferreira-Vázquez
Keyword(s):  
Multiagent Systems ◽  
Directed Graphs ◽  
Lyapunov Stability Theory ◽  
Order Derivative ◽  
Variable Order ◽  
Conformable Derivative ◽  
External Disturbances ◽  
Recent Developments ◽  
Variable Order Derivative ◽  
Distributed Order

In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems. These differ by being modeled with one of the following fractional derivatives: the Caputo derivative, the Caputo distributed order derivative, the variable order derivative, the conformable derivative, the local fractional derivative, or the distributed order conformable derivative (the latter defined in this work). Additionally, we apply these results to study the consensus of a fractional multiagent system, considering all of the aforementioned fractional operators. Our analysis covers multiagent systems with linear and nonlinear dynamics, affected by bounded external disturbances and described by fixed directed graphs. Lastly, examples, which are solved analytically and numerically, are presented to validate our contributions.

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