Spacecraft Performance Guaranteed Optimal Control with Adaptive Dynamic Programming

  • Chapter
  • First Online:
Spacecraft Maneuver with Performance Guaranteed

Abstract

Optimal control is crucial for spacecraft missions, with limited spacecraft fuel or energy storage and few opportunities for refueling after launch. The performance guaranteed control can provide transient or steady-state performance constraints for spacecraft closed-loop systems and even the settling time upper bounds. However, it cannot guarantee the optimization of the control inputs. To optimize the control input under the condition of satisfying the performance constraints, considering the optimal control method based on adaptive dynamic programming (ADP), this chapter proposes the spacecraft performance guaranteed optimal control and its improved algorithm based on experience replay. Detailed theoretical derivation, analysis, and rigorous theoretical proofs of the algorithms are given. By applying these algorithms, the transient and steady-state behavior of the spacecraft closed-loop system can meet the desired constraints, and the control input can be optimized when the constraints are considered. Finally, comprehensive numerical simulation analysis and comparative simulation verify the effectiveness, feasibility, and advantages of the proposed algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 128.39
Price includes VAT (Germany)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
EUR 171.19
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Abu-Khalaf, M., Lewis, F.L.: Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network hjb approach. Automatica 41(5), 779–791 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Finlayson, B.A.: The method of weighted residuals and variational principles. SIAM (2013)

    Google Scholar 

  3. Hornik, K., Stinchcombe, M., White, H.: Universal approximation of an unknown map** and its derivatives using multilayer feedforward networks. Neural networks 3(5), 551–560 (1990)

    Article  Google Scholar 

  4. Vamvoudakis, K.G., Lewis, F.L.: Online actor–critic algorithm to solve the continuous-time infinite horizon optimal control problem. Automatica 46(5), 878–888 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Liu, D., Li, H., Wang, D.: Online synchronous approximate optimal learning algorithm for multi-player non-zero-sum games with unknown dynamics. IEEE Transactions on Systems, Man, and Cybernetics: Systems 44(8), 1015–1027 (2014)

    Article  Google Scholar 

  6. Liu, D., Li, H., Wang, D.: Online synchronous approximate optimal learning algorithm for multi-player non-zero-sum games with unknown dynamics. IEEE Transactions on Systems, Man, and Cybernetics: Systems 44(8), 1015–1027 (2014). 10.1109/TSMC.2013.2295351

    Article  Google Scholar 

  7. Vamvoudakis, K.G., Lewis, F.L.: Multi-player non-zero-sum games: Online adaptive learning solution of coupled hamilton–jacobi equations. Automatica 47(8), 1556–1569 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  8. Modares, H., Lewis, F.L., Naghibi-Sistani, M.B.: Integral reinforcement learning and experience replay for adaptive optimal control of partially-unknown constrained-input continuous-time systems. Automatica 50(1), 193–202 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  9. Yasini, S., Naghibi Sitani, M.B., Kirampor, A.: Reinforcement learning and neural networks for multi-agent nonzero-sum games of nonlinear constrained-input systems. International Journal of Machine Learning and Cybernetics 7(6), 967–980 (2016)

    Article  Google Scholar 

  10. Ioannou, P., Fidan, B.: Adaptive control tutorial. SIAM (2006)

    Google Scholar 

  11. Tao, G.: Adaptive control design and analysis, vol. 37. John Wiley & Sons (2003)

    Google Scholar 

  12. Zhang, H., Cui, L., Luo, Y.: Near-optimal control for nonzero-sum differential games of continuous-time nonlinear systems using single-network adp. IEEE transactions on cybernetics 43(1), 206–216 (2012)

    Article  Google Scholar 

  13. Zhao, D., Zhang, Q., Wang, D., Zhu, Y.: Experience replay for optimal control of nonzero-sum game systems with unknown dynamics. IEEE transactions on cybernetics 46(3), 854–865 (2015)

    Article  Google Scholar 

  14. Jiang, B., Li, C., Ma, G.: Finite-time output feedback attitude control for spacecraft using “adding a power integrator” technique. Aerospace Science and Technology 66, 342–354 (2017)

    Google Scholar 

  15. Bechlioulis, C.P., Rovithakis, G.A.: Robust adaptive control of feedback linearizable mimo nonlinear systems with prescribed performance. IEEE Transactions on Automatic Control 53(9), 2090–2099 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  16. Du, H., Li, S., Qian, C.: Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Transactions on Automatic Control 56(11), 2711–2717 (2011)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yufeng Gao .

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Gao, Y., Li, D. (2023). Spacecraft Performance Guaranteed Optimal Control with Adaptive Dynamic Programming. In: Spacecraft Maneuver with Performance Guaranteed. Springer, Singapore. https://doi.org/10.1007/978-981-99-4653-2_8

Download citation

Publish with us

Policies and ethics

Navigation