Skip to main content
Top

2023 | OriginalPaper | Chapter

7. Continuous Constrained Attitude Regulation on SO(3)

Authors : Ti Chen, Jinjun Shan, Hao Wen

Published in: Distributed Attitude Consensus of Multiple Flexible Spacecraft

Publisher: Springer Nature Singapore

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

search-config
loading …

Abstract

In this chapter, both the centralized and distributed attitude regulation of multiple flexible spacecraft are studied on SO(3) with attitude constraints in the absence of the measurements of the angular velocities and modal coordinates. For centralized regulation, each spacecraft knows the desired attitude. A repulsive potential function is constructed to handle attitude constraints. Then a continuous controller is designed without the measurements of angular velocities. With the assumption that only some spacecraft know the desired attitude, a finite-time observer is introduced to estimate the leader’s information under fixed or switching communication graphs. A continuous control law is proposed for the distributed attitude regulation with the estimate of the leader as the reference signal.

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!

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!

Literature
1.
go back to reference Zheng, Z., Shen, M.: Inertial vector measurements based attitude synchronization control for multiple spacecraft formation. Aerosp. Sci. Technol. 93, 105309 (2019) Zheng, Z., Shen, M.: Inertial vector measurements based attitude synchronization control for multiple spacecraft formation. Aerosp. Sci. Technol. 93, 105309 (2019)
2.
go back to reference Walsh, A., Forbes, J.R.: Constrained attitude control on \(SO(3)\) via semidefinite programming. J. Guid. Control Dyn. 41(11), 2483–2488 (2018) Walsh, A., Forbes, J.R.: Constrained attitude control on \(SO(3)\) via semidefinite programming. J. Guid. Control Dyn. 41(11), 2483–2488 (2018)
3.
go back to reference Berkane, S., Abdessameud, A., Tayebi, A.: Hybrid global exponential stabilization on \(SO (3)\). Automatica 81, 279–285 (2017)MathSciNetCrossRef Berkane, S., Abdessameud, A., Tayebi, A.: Hybrid global exponential stabilization on \(SO (3)\). Automatica 81, 279–285 (2017)MathSciNetCrossRef
4.
go back to reference Lee, T.: Exponential stability of an attitude tracking control system on \(SO(3)\) for large-angle rotational maneuvers. Syst. Control Lett. 61(1), 231–237 (2012) Lee, T.: Exponential stability of an attitude tracking control system on \(SO(3)\) for large-angle rotational maneuvers. Syst. Control Lett. 61(1), 231–237 (2012)
5.
go back to reference Fadakar, I., Fidan, B., Huissoon, J.: Robust adaptive attitude synchronisation of rigid body networks on \(SO(3)\). IET Control Theory Appl. 9(1), 52–61 (2014) Fadakar, I., Fidan, B., Huissoon, J.: Robust adaptive attitude synchronisation of rigid body networks on \(SO(3)\). IET Control Theory Appl. 9(1), 52–61 (2014)
6.
go back to reference Nazari, M., Butcher, E.A., Yucelen, T., Sanyal, A.K.: Decentralized consensus control of a rigid-body spacecraft formation with communication delay. J. Guid. Control. Dyn. 39(4), 838–851 (2016)CrossRef Nazari, M., Butcher, E.A., Yucelen, T., Sanyal, A.K.: Decentralized consensus control of a rigid-body spacecraft formation with communication delay. J. Guid. Control. Dyn. 39(4), 838–851 (2016)CrossRef
7.
go back to reference Zheng, Z., Xu, Y., Zhang, L., Song, S.: Decentralized attitude synchronization tracking control for multiple spacecraft under directed communication topology. Chin. J. Aeronaut. 29(4), 995–1006 (2016)CrossRef Zheng, Z., Xu, Y., Zhang, L., Song, S.: Decentralized attitude synchronization tracking control for multiple spacecraft under directed communication topology. Chin. J. Aeronaut. 29(4), 995–1006 (2016)CrossRef
8.
go back to reference Sarlette, A., Sepulchre, R., Leonard, N.E.: Autonomous rigid body attitude synchronization. Automatica 45(2), 572–577 (2009)MathSciNetCrossRef Sarlette, A., Sepulchre, R., Leonard, N.E.: Autonomous rigid body attitude synchronization. Automatica 45(2), 572–577 (2009)MathSciNetCrossRef
9.
go back to reference Bhat, S.P., Bernstein, D.S.: A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon. Syst. Control Lett. 39(1), 63–70 (2000) Bhat, S.P., Bernstein, D.S.: A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon. Syst. Control Lett. 39(1), 63–70 (2000)
10.
go back to reference Berkane, S., Tayebi, A., et al.: Construction of synergistic potential functions on \(SO(3)\) with application to velocity-free hybrid attitude stabilization. IEEE Trans. Autom. Control 62(1), 495–501 (2017)MathSciNetCrossRef Berkane, S., Tayebi, A., et al.: Construction of synergistic potential functions on \(SO(3)\) with application to velocity-free hybrid attitude stabilization. IEEE Trans. Autom. Control 62(1), 495–501 (2017)MathSciNetCrossRef
11.
go back to reference Thienel, J., Sanner, R.M.: A coupled nonlinear spacecraft attitude controller and observer with an unknown constant gyro bias and gyro noise. IEEE Trans. Autom. Control 48(11), 2011–2015 (2003)MathSciNetCrossRef Thienel, J., Sanner, R.M.: A coupled nonlinear spacecraft attitude controller and observer with an unknown constant gyro bias and gyro noise. IEEE Trans. Autom. Control 48(11), 2011–2015 (2003)MathSciNetCrossRef
12.
go back to reference Shen, Q., Yue, C., Goh, C.H.: Velocity-free attitude reorientation of a flexible spacecraft with attitude constraints. J. Guid. Control. Dyn. 40(5), 1293–1299 (2017)CrossRef Shen, Q., Yue, C., Goh, C.H.: Velocity-free attitude reorientation of a flexible spacecraft with attitude constraints. J. Guid. Control. Dyn. 40(5), 1293–1299 (2017)CrossRef
13.
go back to reference Lee, U., Mesbahi, M.: Feedback control for spacecraft reorientation under attitude constraints via convex potentials. IEEE Trans. Aerosp. Electron. Syst. 50(4), 2578–2592 (2014)CrossRef Lee, U., Mesbahi, M.: Feedback control for spacecraft reorientation under attitude constraints via convex potentials. IEEE Trans. Aerosp. Electron. Syst. 50(4), 2578–2592 (2014)CrossRef
14.
go back to reference Hu, Q., Chi, B., Akella, M.R.: Anti-unwinding attitude control of spacecraft with forbidden pointing constraints. J. Guid. Control. Dyn. 42(4), 822–835 (2019)CrossRef Hu, Q., Chi, B., Akella, M.R.: Anti-unwinding attitude control of spacecraft with forbidden pointing constraints. J. Guid. Control. Dyn. 42(4), 822–835 (2019)CrossRef
15.
go back to reference Cao, Y., Ren, W., Meng, Z.: Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking. Syst. Control Lett. 59(9), 522–529 (2010) Cao, Y., Ren, W., Meng, Z.: Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking. Syst. Control Lett. 59(9), 522–529 (2010)
16.
go back to reference Gui, H., Vukovich, G.: Distributed almost global finite-time attitude consensus of multiple spacecraft without velocity measurements. Aerosp. Sci. Technol. 75, 284–296 (2018)CrossRef Gui, H., Vukovich, G.: Distributed almost global finite-time attitude consensus of multiple spacecraft without velocity measurements. Aerosp. Sci. Technol. 75, 284–296 (2018)CrossRef
17.
go back to reference Li, C., Qu, Z.: Distributed finite-time consensus of nonlinear systems under switching topologies. Automatica 50(6), 1626–1631 (2014)MathSciNetCrossRef Li, C., Qu, Z.: Distributed finite-time consensus of nonlinear systems under switching topologies. Automatica 50(6), 1626–1631 (2014)MathSciNetCrossRef
Metadata
Title
Continuous Constrained Attitude Regulation on SO(3)
Authors
Ti Chen
Jinjun Shan
Hao Wen
Copyright Year
2023
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-19-4258-7_7

Premium Partner