Top

Machine Intelligence Research

Published in:

01-08-2014 | Regular paper

Robust Global Stabilization of Spacecraft Rendezvous System via Gain Scheduling

Authors: Qian Wang, Guang-Ren Duan

Published in: Machine Intelligence Research | Issue 4/2014

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The problem of robust global stabilization of a spacecraft circular orbit rendezvous system with input saturation and input-additive uncertainties is studied in this paper. The relative models with saturation nonlinearity are established based on Clohessey-Wiltshire equation. Considering the advantages of the recently developed parametric Lyapunov equation-based low gain feedback design method and an existing high gain scheduling technique, a new robust gain scheduling controller is proposed to solve the robust global stabilization problem. To apply the proposed gain scheduling approaches, only a scalar nonlinear equation is required to be solved. Different from the controller design, simulations have been carried out directly on the nonlinear model of the spacecraft rendezvous operation instead of a linearized one. The effectiveness of the proposed approach is shown.

previous article Observer-based Variable Universe Adaptive Fuzzy Controller Without Additional Dynamic Order

next article An Improved Gravitational Search Algorithm for Dynamic Neural Network Identification

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

[1]

M. E. Polites. Technology of automated rendezvous and capture in space. Journal of Spacecraft and Rockets, vol. 36, no. 2, pp. 280–291, 1999.CrossRef

[2]

W. H. Clohessy, R. S. Wiltshire. Terminal guidance system for satellite rendezvous. Journal of the Aerospace Sciences, vol. 27, no. 9, pp. 653–658, 1960.CrossRefMATH

[3]

L. S. Breger, J. P. How. Safe trajectories for autonomous rendezvous of spacecraft. Journal of Guidance, Control, and Dynamics, vol. 31, no. 5, pp. 1478–1489, 2008.CrossRef

[4]

A. Richards, J. How. Performance evaluation of rendezvous using model predictive control. In Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA, Austin, Texas, USA, pp. 1–9, 2003.

[5]

E. Hartley. Model Predictive Control for Spacecraft Rendezvous, Ph. D. dissertation, University of Cambridge, UK, 2010.

[6]

L. Singh, S. Bortolami, L. A. Page. Optimal guidance and thruster control in orbital approach and rendezvous for docking using model predictive control. In Proceedings of the AIAA Guidance, Navigation, and Control Conference, AIAA, Toronto, Ontario, Canada, pp. 2010–7754, 2010.

[7]

F. Gavilan, R. Vazquez, E. F. Camacho. Chance-constrained model predictive control for spacecraft rendezvous with disturbance estimation. Control Engineering Practice, vol. 20, no. 2, pp. 111–122, 2012.CrossRef

[8]

P. Singa, K. Subbarao, J. L. Junkins. Adaptive output feedback control for spacecraft rendezvous and docking under measurement uncertainty. Journal of Guidance, Control, and Dynamics, vol. 29, no. 4, pp. 892–902, 2006.CrossRef

[9]

A. Tiwari, J. Fung, J. M. Carson, R. Bhattacharya, R. M. Murray. A framework for Lyapunov certificates for multi-vehicle rendezvous problems. In Proceedings of 2004 American Control Conference, IEEE, Boston, Massachusetts, pp. 5582–5587, 2004.

[10]

E. A. Youmans, F. H. Lutze. Neural network control of space vehicle intercept and rendezvous maneuvers. Journal of Guidance, Control, and Dynamics, vol. 21, no. 1, pp. 116–121, 1998.CrossRefMATH

[11]

F. Zhang, G. R. Duan. Integrated relative position and attitude control of spacecraft in proximity operation missions. International Journal of Automation and Computing, vol. 9, no. 4, pp. 342–351, 2012.CrossRef

[12]

B. Zhou, Z. L. Lin, G. R. Duan. Lyapunov differential equation approach to elliptical orbital rendezvous with constrained controls. Journal of Guidance, Control, and Dynamics, vol. 34, no. 2, pp. 345–358, 2011.CrossRef

[13]

T. E. Carter, J. Brientt. Fuel-optimal rendezvous for linearized equations of motion. Journal of Guidance, Control, and Dynamics, vol. 15, no. 6, pp. 1411–1416, 1992.CrossRef

[14]

T. E. Carter, M. Humi. Fuel-optimal rendezvous near a point in general Keplerian orbit. Journal of Guidance, Control, and Dynamics, vol. 10, no. 6, pp. 567–573, 1987.CrossRefMATH

[15]

Z. L. Lin. Global control of linear systems with saturating actuators. Automatica, vol. 34, no. 7, pp. 897–905, 1998.CrossRefMATHMathSciNet

[16]

A. Saberi, Z. L. Lin, A. R. Teel. Control of linear systems with saturating actuators. IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 368–378, 1996.CrossRefMATHMathSciNet

[17]

D. J. Leith, W. E. Leithead. Survey of gain-scheduling analysis and design. International Journal of Control, vol. 73, no. 11, pp. 1001–1025, 2000.CrossRefMATHMathSciNet

[18]

W. J. Rugh, J. S. Shamma. Research on gain scheduling. Automatica, vol. 36, pp. 1401–1425, 2000.CrossRefMATHMathSciNet

[19]

Q. Wang, B. Zhou, G. Duan. Global stabilization of spacecraft rendezvous system subject to input saturation via gain scheduling. In Proceedings of the 32nd Chinese Control Conference, Xi’an, China, pp. 1436–1441, 2013.

[20]

R. Suárez, J. Álvarez-Ramírez, J. Solís-Daun. Linear systems with bounded inputs: Global stabilization with eigenvalue placement. International Journal of Robust and Nonlinear Control, vol. 7, no. 9, pp. 835–845, 1997.CrossRefMATHMathSciNet

[21]

A. Megretski. Output feedback stabilization with saturated control. In Proceedings of the 13th IFAC World Congress, IFAC, San Francisco, CA, USA, pp. 435–440, 1996.

[22]

T. S. Hu, Z. L. Lin. On improving the performance with bounded continuous feedback laws. IEEE Transactions on Automatic Control, vol. 47, no. 9, pp. 1570–1575, 2002.CrossRefMathSciNet

[23]

F. Grognard, R. Sepulchre, G. Bastin. Improving the performance of low-gain designs for bounded control of linear systems. Automatica, vol. 38, no. 10, pp. 1777–1782, 2002.CrossRefMATHMathSciNet

[24]

A. R. Teel. Linear systems with input nonlinearities: Global stabilization by scheduling a family of H _∞-type controllers. International Journal of Robust and Nonlinear Control, vol. 5, no. 5, pp. 399–411, 1995.CrossRefMATHMathSciNet

[25]

B. Zhou, Z. L. Lin, G. R. Duan. Robust global stabilization of linear systems with input saturation via gain scheduling. International Journal of Robust and Nonlinear Control, vol. 20, no. 4, pp. 424–447, 2010.MATHMathSciNet

[26]

J. A. De Dona, S. O. Reza Moheimani, G. C. Goodwin, A. Feuer. Robust hybrid control incorporating over-saturation. Systems & Control Letters, vol. 38, no. 3, pp. 179–185, 1999.CrossRefMATHMathSciNet

[27]

T. S. Hu, Z. L. Lin, Y. Shamash. Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation. Systems & Control Letters, vol. 43, no. 3, pp. 203–210, 2001.CrossRefMATHMathSciNet

[28]

G. F. Wredenhagen, P. R. Belanger. Piecewise-linear LQ control for systems with input constraints. Automatica, vol. 30, no. 3, pp. 403–416, 1994.CrossRefMATHMathSciNet

[29]

T. E. Carter. State transition matrices for terminal rendezvous studies: Brief survey and new example. Journal of Guidance, Control, and Dynamics, vol. 21, no. 1, pp. 148–155, 1998.CrossRefMATH

[30]

Z. L. Lin, A. Saberi. A semi-global low-and-high gain design technique for linear systems with input saturation-stabilization and disturbance rejection. International Journal of Robust and Nonlinear Control, vol. 5, no. 5, pp. 381–398, 1995.CrossRefMATHMathSciNet

[31]

Z. L. Lin, A. Saberi. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems & Control Letters, vol. 21, no. 3, pp. 225–239, 1993.CrossRefMATHMathSciNet

[32]

Z. L. Lin, A. A. Stoorvoge, A. Saberi. Output regulation for linear systems subject to input saturation. Automatica, vol. 32, no. 1, pp. 29–47, 1996.CrossRefMATHMathSciNet

[33]

A. R. Teel. Semi-global stabilizability of linear null controllable systems with input nonlinearities. IEEE Transactions on Automatic Control, vol. 40, no. 1, pp. 96–100, 1995.CrossRefMATHMathSciNet

[34]

B. Zhou, G. R. Duan, Z. L. Lin. A parametric Lyapunov equation approach to the design of low gain feedback. IEEE Transactions on Automatic Control, vol. 53, no. 6, pp. 1548–1554, 2008.CrossRefMathSciNet

Title: Robust Global Stabilization of Spacecraft Rendezvous System via Gain Scheduling
Authors: Qian Wang
Guang-Ren Duan
Publication date: 01-08-2014
Publisher: Springer-Verlag
Published in: Machine Intelligence Research / Issue 4/2014
Print ISSN: 2731-538X
Electronic ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-014-0809-2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 4/2014

Robust Iterative Learning Control of Single-phase Grid-connected Inverter

Application of a Robust Model Reference Adaptive Control Algorithm to a Nonlinear Automotive Actuator

Automatic Georeferencing of Images Acquired by UAV’s

Improving Asynchronous Motor Speed and Flux Loop Control by Using Hybrid Fuzzy-SMC Controllers

Adaptive H ∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Modeling and Analysis for Streaming Service Systems

Premium Partner