Analytic Solution to Optimal Reconfigurations of Satellite Formation Flying in Circular Orbit under $J_2$ Perturbation

Cho, Hancheol; Park, Sang-Young; Park, Han-Earl; Choi, Kyu-Hong

doi:10.1109/taes.2012.6237587

Cited by 15 publications

(5 citation statements)

References 21 publications

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“…The communication of those systems to share information is also a challenging task. In circular formation, each orbiting satellite communicates with a limited set of neighbors (limited connectivity) [241]. It has application in the defense industry to provide surveillance and navigation of a particular field with defined radius [242].…”

Section: Applications Of Circular Formationmentioning

confidence: 99%

A Survey on Techniques in the Circular Formation of Multi-Agent Systems

2021

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Distributed control solutions to the multi-agent systems in terms of coordination, formation, and consensus problems are extensively studied in the literature. The circular formation control of multi-agent systems becomes one of the most challenging and active research topics in distributed cooperative control. The research potential of circular formation control has grown especially in satellite formation and control. The circular formation control aims to drive a group of agents to move on a circular trajectory around a center with spacing adjustment to avoid the collision. This paper covers the fundamental research in consensus and formation control and the latest developments in the applications of formation control especially in circular formation control and stability analysis. Literature related to various control streams to achieve circular formation is discussed. Algebraic graph theory is used as a building block in problem definition, problem formulation, and solutions. A review of bearing, range, and received signal strength measurements with respect to circular formation control is presented. Leader following, behavior-based, artificial potential function, virtual structure, and cyclic pursuit are the methods discussed most in this context. The stabilization of the collective circular motion with the unicycles approach is also discussed. Further results on circular formation, several applications, and future research directions are presented.

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Section: Applications Of Circular Formationmentioning

confidence: 99%

A Survey on Techniques in the Circular Formation of Multi-Agent Systems

2021

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“…( 11); the initial values of −Ωξ 3 and ξ 4 are equivalent to the parameters d and b defined in Eqs. ( 13) and (12). The differential equations of the modal variables are described as follows:…”

Section: Modal Equationsmentioning

confidence: 99%

“…Palmer [11] analytically shows an optimal controller based on the Fourier series for relocating a follower satellite to a desired relative orbit. This method is extended to study analytical solutions for optimal formation reconfigurations under J 2 perturbation [12] as well as to derive an optimal controller for formation flying in an elliptic orbit [13]. For both energy and fuel optimizations, Xi and Li [14] show an optimal reconfiguration method in an elliptic orbit using a homotopy method.…”

Section: Introductionmentioning

confidence: 99%

Optimal formation reconfiguration of satellites under attitude constraints using only thrusters

Yoshimura

2018

Aerospace Science and Technology

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An optimal formation reconfiguration method under the constraints of a satellite attitude with respect to an inertial frame is addressed. Both the satellite position and attitude are controlled by only two body-fixed thrusters for an in-plane maneuver. To tackle the underactuated control problem, an attitude controller for tracking reference accelerations is firstly derived on the basis of Lyapunov approach. This controller allows us to consider the attitude constraints as input directional constraints because the satellite attitude is controlled so that the thrust direction is coincide with the force direction required for the orbit transfer. Secondly, a formation reconfiguration method based on the Fourier series is used as the reference inputs, and boundary conditions that make the resulting input trajectory an ellipse are shown. Such elliptic input trajectory changes the input direction monotonically, which enables bounding it around an desired direction. The proposed underactuated-controller achieves a reconfiguration maneuver while keeping the satellite attitude within a range from a specified direction, and thus is useful when several thrusters of a satellite fail due to malfunctions. Finally, numerical simulation results validate the effectiveness of the proposed relocation method by comparing energy consumptions and bounded satellite attitude angles.

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“…Formation control is defined as the coordination of multiple agents that enter into and maintain a specific formation. Potential application areas of formation control include cooperative tasks such as exploration, surveillance, search and rescue, transportation of large objects and control of arrays of satellites [6], [7], [8], [9].…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Coordination for Formation Tracking Control in Constrained Space With Limited Communication

Liu

Goh

et al. 2019

IEEE Trans. Cybern.

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In this paper, the formation tracking control is studied for a multiagent system (MAS) with communication limitations. The objective is to control a group of agents to track a desired trajectory while maintaining a given formation in nonomniscient constrained space. The role switching triggered by the detection of unexpected spatial constraints facilitates efficiency of event-triggered control in communication bandwidth, energy consumption, and processor usage. A coordination mechanism is proposed based on a novel role ``coordinator'' to indirectly spread environmental information among the whole communication network and form a feedback link from followers to the leader to guarantee the formation keeping. A formation scaling factor is introduced to scale up or scale down the given formation size in the case that the region is impassable for MAS with the original formation size. Controllers for the leader and followers are designed and the adaptation law is developed for the formation scaling factor. The conditions for asymptotic stability of MAS are discussed based on the Lyapunov theory. Simulation results are presented to illustrate the performance of proposed approaches.

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Analytic Solution to Optimal Reconfigurations of Satellite Formation Flying in Circular Orbit under $J_2$ Perturbation

Cited by 15 publications

References 21 publications

A Survey on Techniques in the Circular Formation of Multi-Agent Systems

A Survey on Techniques in the Circular Formation of Multi-Agent Systems

Optimal formation reconfiguration of satellites under attitude constraints using only thrusters

Event-Triggered Coordination for Formation Tracking Control in Constrained Space With Limited Communication

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