Skip to main content

Decentralized Output Feedback Control for Mismatched Uncertain Large Scale Systems: An LMI Approach

  • Conference paper

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 282))

Abstract

In this paper, a large scale systems with matched and mismatched uncertainties is considered. Based on sliding mode techniques, a decentralized control scheme, using only output information, is presented to stabilize the system globally. In addition, appropriate linear matrix inequality (LMI) stability conditions by the Lyapunov method are derived such that each subsystem in the new sliding mode is completely invariant to both matched and mismatched uncertainties. Moreover, the stability analysis of the overall system is also provided. Finally, a numerical example is used to prove the efficacy on the method.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   329.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ye, X.: Decentralized Adaptive Stabilization of Large-Scale Nonlinear Time-Delay Systems With Unknown High-Frequency-Gain Signs. IEEE Transactions on Automatic Control 56(6) (June 2011)

    Google Scholar 

  2. Tsai, Y.-W., Shyu, K.-K., Chang, K.-C.: Decentralized variable structure control for mismatched uncertain large-scale systems: a new approach. Systems & Control Letters 43, 117–125 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  3. Zheng, D.-Z.: Decentralized output feedback stabilization of a class of nonlinear interconnected systems. IEEE Trans. Automat. Contr. 34, 1297–1300 (1989)

    Article  MATH  Google Scholar 

  4. Shi, L., Singh, S.K.: Decentralized control for interconnected uncertain systems: Extensions to higher-order uncertainties. Int. J.Contr. 57, 1453–1468 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  5. Gavel, D.T., Siljak, D.D.: Decentralized adaptive control: Structural conditions for stability. IEEE Trans. Automat. Contr. 34, 413–426 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kalsi, K., Lian, J., Zak, S.H.: Decentralized Dynamic Output Feedback Control of Nonlinear Interconnected Systems. IEEE Transactions on Automatic Control 55(8) (August 2010)

    Google Scholar 

  7. Shyu, K.-K., Tsai, Y.-W., Lai, C.-K.: A dynamic output feedback controllers for mismatched uncertain variable structure systems. Automatica 37, 775–779 (2001)

    MathSciNet  MATH  Google Scholar 

  8. Li, W., Wei, X., Zhang, S.: Decentralized output-feedback control for high-order stochastic non-linear systems. ET Control Theory Appl. 6(6), 838–846 (2012)

    Article  MathSciNet  Google Scholar 

  9. Khargonekar, P.P., Petersen, I.R., Zhou, K.: Robust Stabilization of Uncertain Linear Systems: Quadratic Stabilizability and H ∞  control Theory. IEEE Transactions on Automatic Control 35(3) (March 1990)

    Google Scholar 

  10. Li, W.Q., Jing, Y.W., Zhang, S.Y.: Adaptive state-feedback stabilization for a large class of high-order stochastic nonlinear systems. Automatica 47, 819–828 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  11. Li, W.Q., Liu, X.H., Zhang, S.Y.: Further results on adaptive state feedback stabilization for stochastic high-order nonlinear systems. Automatica (accepted 2012)

    Google Scholar 

  12. Koo, G.B., Park, J.B., Joo, Y.H.: Decentralized fuzzy observer-based output-feedback control for nonlinear large-scale systems: an LMI approach. IEEE Transactions on Fuzzy Systems PP(99) (2013)

    Google Scholar 

  13. Liu, S.J., Jiang, Z.P., Zhang, J.F.: Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems. Automatica 44, 1944–1957 (2008)

    Article  MathSciNet  Google Scholar 

  14. Yan, X.-G., Spurgeon, S.K., Edwards, C.: Global decentralised static output feedback sliding mode control for interconnected time-delay systems. IET Control Theory Appl. 6(2), 192–202 (2012)

    Article  MathSciNet  Google Scholar 

  15. Zhang, J., Shi, P., Xia, Y.: Robust Adaptive Sliding-Mode Control for Fuzzy Systems With Mismatched Uncertainties. IEEE Transactions on Fuzzy Systems 18(4) (August 2010)

    Google Scholar 

  16. Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control theory. SIAM, Philadelphia (1994)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yao-Wen Tsai .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tsai, YW., Van Van, H., Ting, L.C., Shyu, KK. (2014). Decentralized Output Feedback Control for Mismatched Uncertain Large Scale Systems: An LMI Approach. In: Zelinka, I., Duy, V., Cha, J. (eds) AETA 2013: Recent Advances in Electrical Engineering and Related Sciences. Lecture Notes in Electrical Engineering, vol 282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41968-3_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-41968-3_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41967-6

  • Online ISBN: 978-3-642-41968-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics