Adaptive nonlinear control of satellite formation flying

Kapila, Vikram; Yan, Qiguo

doi:10.2514/6.1999-4270

Cited by 14 publications

(6 citation statements)

References 9 publications

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“…With advance of the formation control research, the nonlinear control theory is used to keep the formation array. Queiroz et al [6,7] designed position feedback and output feedback nonlinear controllers, respectively, for the full, nonlinear relative orbital dynamics. Massey [8] developed the nolinear controller using the continuous sliding modes to keep formation station considering the nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear control of multiple spacecraft formation flying using the constraint forces in Lagrangian systems

Xing

Lei

Wen-ke

et al. 2009

Sci. China Ser. E-Technol. Sci.

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Getting inspiration from the constraint forces in the classical mechanics, we presented the nonlinear control method of multiple spacecraft formation flying to accurately keep the desired formation arrays. Considering nonlinearity and perturbation, we changed the question of the formation array control to the Lagrange equations with the holonomic constraints and the differential algebraic equations (DAE), and developed the nonlinear control for design of the follower spacecraft tracking control laws by solving the DAE. Because of using the idea of the constraint forces, this approach can adequately utilize the characteristic of the dynamic equations, i.e., the space natural forces, and accurately keep the arbitrary formation array. Simulation results of the circular formation keeping with the linear and nonlinear dynamical equations were included to illuminate the control performance.satellite formation flying, array keeping, nonlinear control, Lagrangian systems, constraint forces

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Section: Introductionmentioning

confidence: 99%

Nonlinear control of multiple spacecraft formation flying using the constraint forces in Lagrangian systems

Xing

Lei

Wen-ke

et al. 2009

Sci. China Ser. E-Technol. Sci.

View full text Add to dashboard Cite

show abstract

“…Vaddi [3] and Sengupta [4] used the linear T-H equations and designed the controller to maintain the formation array on the elliptic reference orbit, respectively. Queiroz [5,6] designed position feedback and output feedback nonlinear controllers, respectively, for the full, nonlinear relative orbital dynamics. Massey [7] developed the nolinear controller using the continuous sliding modes to keep formation array.…”

Section: Introductionmentioning

confidence: 99%

Robust nonlinear control of spacecraft formation flying using constraint forces

Xing

Tang

Wen-ke

et al. 2011

Sci. China Technol. Sci.

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A robust nonlinear control method is presented for spacecraft precise formation flying. With the constraint forces and considering nonlinearity and perturbations, the problem of the formation keeping is changed to the Lagrange systems with the holonomic constraints and the differential algebraic equations (DAE). The nonlinear control laws are developed by solving the DAE. Because the traditional numerical solving methods of DAE are very sensitive to the various errors and the resulting control laws are not robust in engineering application, the robust control law designed method is further developed by designing the correct coefficients to correct the errors of the formation array constraints. A numeral study simulated the robustness of this method for the various errors in the formation flying mission, including the initial errors of spacecraft formation, the reference satellite orbit determination errors, the relative perturbation forces model errors, and so on. spacecraft formation flying, array keeping, nonlinear control, Lagrangian systems, constraint forces, robust Citation:Xing J J, Tang G J, Cheng W K, et al.

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“…With the wide application of the continuous low-thrust propulsion system, a variety of control methods for the satellite formation flying have been proposed by using the modern control theory, such as the adaptive control, 12,13 the model predictive control, 14 the sliding model techniques-based nonlinear tracking control, 15,16 and the robust control. 17 In addition, some theoretical methods in other areas are also helpful to this control problem.…”

Section: Introductionmentioning

confidence: 99%

“…[18][19][20][21][22] The fuel consumption is a major concern for the formation-keeping mission, especially for a long-term one. All the methods [12][13][14][15][16][17] mentioned above didn't take the fuel consumption of the satellite into account. For saving the fuel consumption, a linear quadratic regulator (LQR) was used in the studies of Xu and Hu, 23 Palacios et al, 24 and Ke et al, 25 however, LQR merely applies to the linear system and its convergence rate is slow.…”

Section: Introductionmentioning

confidence: 99%

Loosely displaced formation-keeping control for satellite swarm with continuous low-thrust

Zhao

Hui

et al. 2020

International Journal of Advanced Robotic Systems

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Aiming at a long-term formation-keeping problem for the satellite swarm, the concept of a loosely displaced formation is proposed in this article. On this basis, a continuous low-thrust control strategy for maintaining the loosely displaced formation is designed. The control objective is to reduce more fuel consumption during the formation-keeping. For achieving that, we proposed a forward-feedback control strategy by using pseudo-spectral method and sliding mode theory. To be specific, the control strategy includes two parts: a forward control and a feedback control. For the forward control, a numerical optimization with the Legendre pseudo-spectral method is attempted to convert the optimal control problem into a nonlinear programming problem and fuel consumption is selected as the optimization index. For stability issue, the feedback control via adaptive finite-time sliding mode theory is introduced as an additional control component. Finally, the numerical results demonstrate that propellant mass is effectively saved as well as the formation can be tracked accurately with this control strategy proposed in this article.

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Adaptive nonlinear control of satellite formation flying

Cited by 14 publications

References 9 publications

Nonlinear control of multiple spacecraft formation flying using the constraint forces in Lagrangian systems

Nonlinear control of multiple spacecraft formation flying using the constraint forces in Lagrangian systems

Robust nonlinear control of spacecraft formation flying using constraint forces

Loosely displaced formation-keeping control for satellite swarm with continuous low-thrust

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