Skip to main content
SpringerLink
Log in

Optimal Sliding Mode Control of a Class of Affine Nonlinear Systems via Improved Successive Approximation Approach

  • Conference paper
  • First Online:
Proceedings of International Conference on Image, Vision and Intelligent Systems 2022 (ICIVIS 2022) (ICIVIS 2022)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1019))

Included in the following conference series:

Abstract

In this paper, sliding mode control problem for a class of affine nonlinear systems is studied. By introducing the improved successive approximation method, the approximate optimal control law with virtual homogeneous linear feedback is designed for the nonlinear system, and then the homogeneous optimal switching surface of the nonlinear system is designed according to the general method of sliding mode design for linear system, the variable structure control law based on the designed linear optimal homogeneous sliding mode is obtained. Simulation results show that the proposed method is effective.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 349.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 449.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 449.99
Price excludes VAT (USA)
  • Durable hardcover 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

Similar content being viewed by others

References

  1. Basin, M., Rodriguez-Ramirez, P., Ferrara, A., Calderon-Alvarez, D.: Sliding mode optimal control for linear systems. J. Franklin Inst. 349(4), 1350–1363 (2012)

    Google Scholar 

  2. Basin, M., Fridman, L., Shi, P.: Optimal sliding mode algorithms for dynamic systems. J. Franklin Inst. 349(4), 1317–1322 (2012)

    Google Scholar 

  3. Mahmoodabadi, M.J., Momennejad, S., Bagheri, A.: Online optimal decoupled sliding mode control based on moving least squares and particle swarm optimization. Inf. Sci. 268, 342–356 (2014)

    Google Scholar 

  4. Bayar, K., Khaneghah, F.-S.: Optimal sliding mode control method for active suspension control. IFAC-PapersOnLine 53(2), 14285–14291 (2020)

    Google Scholar 

  5. Chen, S.-A., Wang, J.-C., Yao, M., Kim, Y.-B.: Improved optimal sliding mode control for a non-linear vehicle active suspension system. J. Sound Vib. 395, 1–25 (2017)

    Google Scholar 

  6. Pukdeboon, C., Kumam, P.: Robust optimal sliding mode control for spacecraft position and attitude maneuvers. Aerosp. Sci. Technol. 43, 329–342 (2015)

    Google Scholar 

  7. Pukdeboon, C., Zinober, A.S.I.: Optimal sliding mode controllers for spacecraft attitude manoeuvres. IFAC Proc. Vol. 42(6), 173–178 (2009)

    Google Scholar 

  8. Salamci, M.U., Kemal Ozgoren, M., Banks, S.P.: Sliding mode control with optimal sliding surfaces for missile autopilot design. J. Guid. Control Dyn. 23(4), 719–727 (2000)

    Google Scholar 

  9. Tang, G.-Y., Lu, S.-S., Dong, R.: Optimal sliding mode control for linear time-delay systems with sinusoidal disturbances. J. Sound Vib. 304(1), 263–271 (2007)

    Google Scholar 

  10. Tang, G.-Y., Dong, R., Gao, H.-W.: Optimal sliding mode control for nonlinear systems with time-delay. Nonlinear Anal.: Hybrid Syst. 2(3), 891–899 (2008)

    Google Scholar 

  11. Sun, L., Dong, R., Liu, C.-L.: Improved successive approximation procedure for optimal control of nonlinear systems. In: Proceedings of the 30th Chinese Control Conference, CCC 2011, pp. 2014–2019 (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shandong Yihualu Information Technology Co., Ltd., Qingdao, 266000, Shandong, China

    Chaojun Sun

  2. Shandong University of Science and Technology, Jinan, 250031, Shandong, China

    Liang Sun

Authors
  1. Chaojun Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liang Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Liang Sun .

Editor information

Editors and Affiliations

  1. National University of Defense Technology, Changsha, Hunan, China

    Peng You

  2. Central South University, Changsha, Hunan, China

    Heng Li

  3. University of Jinan, Jinan, Shandong, China

    Zhenxiang Chen

Rights and permissions

Reprints and permissions

Copyright information

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

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sun, C., Sun, L. (2023). Optimal Sliding Mode Control of a Class of Affine Nonlinear Systems via Improved Successive Approximation Approach. In: You, P., Li, H., Chen, Z. (eds) Proceedings of International Conference on Image, Vision and Intelligent Systems 2022 (ICIVIS 2022). ICIVIS 2022. Lecture Notes in Electrical Engineering, vol 1019. Springer, Singapore. https://doi.org/10.1007/978-981-99-0923-0_99

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-0923-0_99

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-0922-3

  • Online ISBN: 978-981-99-0923-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation