Skip to main content

Q Parameterized Stabilizing Controller for Piecewise Linear Systems

  • Conference paper
Advances in Mechanical and Electronic Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 176))

  • 4327 Accesses

Abstract

This paper is considered to design a stabilizing switched controller for piecewise linear systems. The design of the proposed controllers involves a set of observer-based Q-parameterized stabilizing controllers for the switched systems and the stability of the resulting closed loop switched system with the Q-parameterized controllers is analyzed.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lin, H., Antsaklis, P.J.: Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results. IEEE Transactions on Automatic Control 54(2), 308–322 (2009)

    Article  MathSciNet  Google Scholar 

  2. Sun, Z.: A Note on Marginal Stability of Switched Systems. IEEE Transactions on Automatic Control 53(2), 625–631 (2009)

    Article  Google Scholar 

  3. Guan, Z., Hill, D., Shen, X.: On Hybrid Impulsive and Switching Systems and Application to Nonlinear Control. IEEE Transactions on Automatic Control 50(7), 1058–1062 (2005)

    Article  MathSciNet  Google Scholar 

  4. Shorten, R., Narendra, K.S., Mason, O.: A Result on Commom Quadratic Lyapunov Functions. IEEE Transactions on Automatic Control 48(1), 110–113 (2003)

    Article  MathSciNet  Google Scholar 

  5. Cheng, D., Guo, L., Lin, Y., Wang, Y.: Stabilization of Switched Linear Systems. IEEE Transactions on Automatic Control 50(5), 661–666 (2005)

    Article  MathSciNet  Google Scholar 

  6. Goncalves, J.M., Megretski, A., Dahleh, M.A.: Glogal Analysis of Piecewise Linear Systems Using Impact Maps and Surface Lyapunov Functions. IEEE Transactions on Automatic Control 48(12), 2089–2106 (2003)

    Article  MathSciNet  Google Scholar 

  7. Johansson, M., Rantzer, A.: Computation of Piecewise Quadratic Lyapunov Functions for Hybrid Systems. IEEE Transactions on Automatic Control 43(4), 555–559 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  8. Wu, Z., Ben Amara, F.: Flying Height Control for a 2-DOF Tripad Slider in Hard Disk Drives with Switched Regulators. In: ASME International Mechanical Engineering Congress and Exposition, Orlando, Florida, November 5 - 11 (2005)

    Google Scholar 

  9. Boettcher, U., Li, H., de Callafon, R.A., Talke, F.E.: Dynamic Flying Height Adjustment in Hard Disk Drives through Feedforward Control. IEEE Transactions on Magnetics 47(7), 1823–1829 (2011)

    Article  Google Scholar 

  10. Zhou, K., Doyle, J.C., Glover, K.: Robust and Optimal Control. Prentice-Hall (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhizheng Wu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wu, Z., Wang, L. (2012). Q Parameterized Stabilizing Controller for Piecewise Linear Systems. In: Jin, D., Lin, S. (eds) Advances in Mechanical and Electronic Engineering. Lecture Notes in Electrical Engineering, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31507-7_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31507-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31506-0

  • Online ISBN: 978-3-642-31507-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics