Skip to main content

Online Model-Free RLSPI Algorithm for Nonlinear Discrete-Time Non-affine Systems

  • Conference paper
Neural Information Processing (ICONIP 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8227))

Included in the following conference series:

Abstract

Policy iteration, as one kind of reinforcement learning methods is applied here to solve the optimal problem of nonlinear discrete-time non-affine system with continuous-state and continuous-action space. By applying action-value function or Q function, the implementation of policy iteration avoids the dependence on system dynamics. Online model-free recursive least-squares policy iteration (RLSPI) algorithm is proposed with continuous policy approximation. It is the first attempt to develop online LSPI algorithm for nonlinear discrete-time non-affine systems with continuous policy. A nonlinear discrete-time system is simulated to verify the efficiency of our algorithm.

This work was supported in part by National Natural Science Foundation of China (Nos. 61273136, and 61034002,), and Beijing Natural Science Foundation No. 4122083.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Sutton, R.S., Barto, A.G.: Reinforcement Learning: An Introduction. MIT Press, Cambridge (1998)

    Google Scholar 

  2. Wang, F., Zhang, H., Liu, D.: Adaptive Dynamic Programming: An Introduction. IEEE Comput. Intell. Mag. 4(2), 39–47 (2009)

    Article  Google Scholar 

  3. Lewis, F.L., Vrabie, D.: Reinforcement Learning and Adaptive Dynamic Programming for Feedback Control. IEEE Circuits Syst. Mag. 9(3), 32–50 (2009)

    Article  MathSciNet  Google Scholar 

  4. Howard, R.: Dynamic Programming and Markov Processes. MIT Press, Cambridge (1960)

    MATH  Google Scholar 

  5. Bertsekas, D.P., Tsitsiklis, J.N.: Neuro-Dynamic Programming. Athena Scientific, Belmont (1996)

    MATH  Google Scholar 

  6. Tsitsiklis, J.N., Van Roy, B.: Feature-Based Methods for Large Scale Dynamic Programming. Machine Learning 22, 59–94 (1996)

    MATH  Google Scholar 

  7. Tsitsiklis, J.N., Van Roy, B.: An Analysis of Temporal Difference Learning with Function Approximation. IEEE Trans. Automat. Contr. 42(5), 674–690 (1997)

    Article  MATH  Google Scholar 

  8. Zhao, D.B., Bai, X.R., Wang, F.Y., Xu, J., Yu, W.S.: DHP Method for Ramp Metering of Freeway Traffic. IEEE Transactions on Intelligent Transportation Systems 12(4), 990–999 (2011)

    Article  Google Scholar 

  9. Zhao, D.B., Hu, Z.H., Xia, Z.P., Alippi, C., Wang, D.: A Human-Like Full Range Adaptive Cruise Control Based on Supervised Adaptive Dynamic Programming. Neurocomputing (in press), http://dx.doi.org/10.1016/j.neucom.2012.09.034

  10. Si, J., Wang, Y.T.: On-Line Learning Control by Association and Reinforcement. IEEE Trans. Neural Netw. 12(2), 264–276 (2001)

    Article  MathSciNet  Google Scholar 

  11. Busoniu, L., Ernst, D., De Schutter, B., Babuska, R.: Online Least-Squares Policy Iteration for Reinforcement Learning Control. In: Proc. 2010 American Control Conf. (ACC 2010), pp. 486–491 (2010)

    Google Scholar 

  12. Lagoudakis, M.G., Parr, R.: Least-Squares Policy Iteration. Journal of Machine Learning Research 4, 1107–1149 (2003)

    MathSciNet  Google Scholar 

  13. 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 

  14. Zhang, H., Luo, Y., Liu, D.: Neural-Network-Based Near-Optimal Control for a Class of Discrete-Time Affine Nonlinear Systems with Control Constraints. IEEE Trans. Neural Netw. 20(9), 1490–1503 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhu, Y., Zhao, D. (2013). Online Model-Free RLSPI Algorithm for Nonlinear Discrete-Time Non-affine Systems. In: Lee, M., Hirose, A., Hou, ZG., Kil, R.M. (eds) Neural Information Processing. ICONIP 2013. Lecture Notes in Computer Science, vol 8227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-42042-9_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-42042-9_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-42041-2

  • Online ISBN: 978-3-642-42042-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics