Nonlinear Optimization of Low-Thrust Trajectory for Satellite Formation: Legendre Pseudospectral Approach

Wu, Baolin; Wang, Danwei; Poh, Eng Kee; Xu, Guangyan

doi:10.2514/1.37675

Cited by 73 publications

(21 citation statements)

References 19 publications

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“…Consider a formation of n satellites with identical dynamics. The relative motion dynamics of each satellite with respect to circular reference orbit is modeled in (2). Now it can be rewritten as follows with index:…”

Section: Formulation Of Cyclic Formation Controlmentioning

confidence: 99%

“…It has attracted much attention recently due to its perceived operational benefits, such as reduced cost, mission flexibility, improved performance, increased reliability and enhanced survivability. However, there are several technical challenges that formation flying missions face: high-precision relative navigation, distributed communication, trajectory optimization [2] and formation control [1].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cyclic Formation Control for Satellite Formation Using Local Relative Measurements

Wu¹,

Wang²,

Poh³

2012

Control and Intelligent Systems

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This paper introduces a cyclic formation control design for satellite formation using circulant matrix. Each satellite controls itself by using only the local relative states from itself to its two neighbouring satellites. The local relative states can be obtained by local line-ofsight measurements. The formation control problem with n satellites is thus reduced into stabilization problem of a single satellite with the same relative dynamics, individualized by a specific scalar. The scalar takes the values of nonzero eigenvalues of a circulant matrix which represents the topology of relative measurements among satellites. The modified relative dynamics can be viewed as linear system with uncertain parameters and an optimal guaranteed cost control law can be applied. Simulation results are presented to show the efficiency of the proposed cyclic formation control for satellite formation flying.

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Section: Formulation Of Cyclic Formation Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cyclic Formation Control for Satellite Formation Using Local Relative Measurements

Wu¹,

Wang²,

Poh³

2012

Control and Intelligent Systems

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“…A variety of control schemes has been proposed for formation reconfiguration via different methods, whether open-loop or closed-loop ones. With respect to the open-loop category, [4][5][6][7][8][9][10][11] Wu et al 4 designed low-thrust optimal strategies for reconfiguration by using the pseudospectral method. Similar problem was addressed by Li and Xi 5 via homotopic approach.…”

Section: Introductionmentioning

confidence: 99%

Dynamics and control of underactuated spacecraft formation reconfiguration in elliptic orbits

Huang

Yan

Zhou

2017

Proceedings of the Institution of Mechanical Engineers, Part G:

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Feasibility of underactuated formation reconfiguration in elliptic orbits without radial or in-track thrust is investigated in this paper. For either underactuated case, by using a linear time-varying dynamical model of spacecraft formation, controllability and feasibility analyses are conducted, based on which the preconditions on reconfigurable formations are then derived. With the inherent coupling of system dynamics, the reduced-order sliding mode control technique is employed to design a closed-loop underactuated controller for either case. To ensure the stability of the closed-loop system, the conditions imposed on the controller parameters are derived, and the parameter adaptation laws are then solved analytically. Meanwhile, the explicit relationships between the steady accuracies of system states and the controller parameters are obtained via a Lyapunov-based approach. Numerical examples are simulated in a J 2-perturbed environment to validate the theoretical analyses. The results indicate that by using the proposed control schemes, underactuated reconfiguration in elliptic orbits is still feasible even in the absence of radial or in-track thrust and in the presence of unmatched disturbances.

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“…Huntington [8] used Gauss pseudospectral method for tetrahedral formation reconfiguration, but collision avoidance was not considered. Wu et al [9] used LPM to design fuel-optim al trajectories for spacecraft reconfiguration in near-earth orbit with an exact nonlinear relative spacecraft dynamic model. Autonomous formation flying is important for deep space missions, so the reconfiguration algorithm for deep space missions should be simple enough to run on-board and plan the trajectories fast even realtime.…”

Section: Introductionmentioning

confidence: 99%

Optimal Spacecraft Formation Reconfiguration with Collision Avoidance Using Particle Swarm Optimization

Huang

Zhuang

et al. 2012

ITC

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This paper pr esents an energ y-optimal trajectory planning method fo r spacecraft fo rmation reconfiguration in deep space environment using continuous lo w-thrust propulsion system. First, we emplo y the Legendre pseudospectral method (LPM) to transform the optimal reconfiguration problem to a parameter optimization nonlinear programming (NLP) problem. Then, to avoid the computational complexity for calculating the gradient information caused by traditional optimization methods, we use particle swarm optimization (PSO) algorithm to solve the NLP prob lem. Meanwhile, in order to avoid the collision between any pair of Legendre-Gauss-Lobatto (LGL) points, we insert some test point s in the r egion where collision may happen most likely. What's more, the collision avoidance constraints are also checked at these test points. Finally, numerical simulation shows that the energy-optimal trajectories for spacecraft reconfiguration could be generated by the method we proposed in a relative short time, so that it could be adopted on-board for practical spacecraft formation problems.

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Nonlinear Optimization of Low-Thrust Trajectory for Satellite Formation: Legendre Pseudospectral Approach

Cited by 73 publications

References 19 publications

Cyclic Formation Control for Satellite Formation Using Local Relative Measurements

Cyclic Formation Control for Satellite Formation Using Local Relative Measurements

Dynamics and control of underactuated spacecraft formation reconfiguration in elliptic orbits

Optimal Spacecraft Formation Reconfiguration with Collision Avoidance Using Particle Swarm Optimization

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