Skip to main content

Global Exponential Stabilization for a Class of Nonlinear Singular Systems with Sector Actuator

  • Conference paper
  • First Online:
Book cover Advanced Machine Learning Technologies and Applications (AMLTA 2021)

Abstract

This article presents a robust control scheme for a nonlinear singular system under actuator saturation to achieve global exponential stability. Moreover, we can guarantee the convergence rate of such singular systems. Finally, we provide a numerical example to prove the validity and applicability of our proposed method.

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 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
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

References

  1. Wang, J., Ma, S., Zhang, C., Fu, M.: Finite-time H filtering for nonlinear singular systems with nonhomogeneous markov jumps. IEEE Trans. on Cybern. 49(6), 2133–2143 (2019)

    Article  Google Scholar 

  2. Fang, C.H., Chang, F.R.: Analysis of stability robustness for generalizedstate-space systems with structured perturbations. Syst. Contr. Lett. 21, 109–114 (1993)

    Article  Google Scholar 

  3. Zhang, Y., Zhang, Q., Zhang, J. Wang, Y.: Sliding mode control for fuzzy singular systems with time delay based on vector integral sliding mode surface. IEEE Trans. Fuzzy Syst. 28 (4), 768–782 (2020)

    Google Scholar 

  4. Liu, D., Yang, Y., Li, L., Ding, S.X.: Control performance-based fault-tolerant control strategy for singular systems. IEEE Trans. Syst. Man Cybern. Syst. 50(7), 2398–2407 (2020)

    Google Scholar 

  5. Pang, B., Zhang, Q.: Interval observers design for polynomial fuzzy singular systems by utilizing sum-of-squares program. IEEE Trans. Syst. Man Cybern. Syst. 50(6), 1999–2006 (2020)

    Google Scholar 

  6. LEE, S.Y., KWON, N.K.: Proportional-derivative state-feedback control for singular systems with input quantization. IEEE Access 8, 160065–160069 (2020)

    Google Scholar 

  7. Franklin, G.F., Powell, J.D., Emani-Naeini, A.: Feedback Control of Dynamic System. Massachusetts: Addison-Wesley (1994)

    Google Scholar 

  8. ABIDI, K., POSTLETHWAITE, I.: Discrete-time adaptive control for systems with input time-delay and non-sector bounded nonlinear functions. IEEE Access 7, 4327–4337 (2019)

    Google Scholar 

  9. D.A. Recker, P.V. Kokotovic, D. Rhode, and J. Winkelman,: Adaptive nonlinear control of systems containing a deadzone, in Proceedings of the 30th Conference on Decision and Control, pp. 748–753. (1991)

    Google Scholar 

  10. Sun, Y.J.: A unifying control scheme for a class of nonlinear systems with uncertain deadzone or quantization actuator. In: 2003 National Symposium on Automatic Control, pp. 1113–1118 (2003)

    Google Scholar 

  11. Shyu, K.K., Chen, Y.C.: Robust tracking and model following for uncertain time-delay systems. Int. J. Contr. 62, 589–600 (1995)

    Google Scholar 

  12. Edwards, C., Spurgeon, S.: Sliding mode stabilization of uncertain systems using only output information. Int. J. Contr. 62, 1129–1144 (1995)

    Google Scholar 

  13. Xu, S., Lam, J.: Robust Control and Filtering of Singular Systems. Berlin, Germany: Springer-Verlag (2006)

    Google Scholar 

  14. Yedavalli, R.K., Liang, Z.: Reduced conservatism in stability robustness bounds by state transformation. IEEE Trans. Automat. Contr. 31, 863–866 (1986)

    Google Scholar 

  15. Sun, Y.J.: Exponential stability for continuous-time singular systems with multiple time delays. ASME J. Dyn. Syst. Meas. Control 125(2), 262–264 (2003)

    Google Scholar 

Download references

Acknowledgment

This research is supported by the program of Fuzhou Polytechnic of China. Project id RCQD201803 and project number 2019GXXM002.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chih-Pin Freg .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Huang, CC., Freg, CP., Huang, HS. (2021). Global Exponential Stabilization for a Class of Nonlinear Singular Systems with Sector Actuator. In: Hassanien, AE., Chang, KC., Mincong, T. (eds) Advanced Machine Learning Technologies and Applications. AMLTA 2021. Advances in Intelligent Systems and Computing, vol 1339. Springer, Cham. https://doi.org/10.1007/978-3-030-69717-4_98

Download citation

Publish with us

Policies and ethics