Skip to main content
SpringerLink
Log in

Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: discrete time

  • Chapter
  • First Online:
Book cover Internal and External Stabilization of Linear Systems with Constraints

Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

  • 1035 Accesses

Abstract

For discrete-time general critically unstable linear systems subject to actuator saturation, this chapter is a counterpart of Chap. 15 which pertains to continuous-time systems. That is, our goal here for discrete-time systems is to identify a set of non-input-additive sustained disturbances for which a feedback control law can be determined such that: 1.In the absence of disturbances, the origin of the closed-loop system is globally asymptotically stable. 2.If the disturbances belong to the given set, the states of the closed-loop system are bounded for any arbitrarily specified initial conditions.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
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

References

  1. P. Hou, A. Saberi, Z. Lin, and P. Sannuti, “Simultaneously external and internal stabilization for continuous and discrete-time critically unstable systems with saturating actuators”, Automatica, 34(12), 1998, pp. 1547–1557.

    Article  MATH  Google Scholar 

  2. ________, “Control of linear systems with input saturation and disturbances – discrete-time systems”, Submitted for publication, 2011.

    Google Scholar 

  3. B. Zhou, Z. Lin, and G.R. Duan, “A parametric Lyapunov equation approach to low gain feedback design for discrete time systems”, Automatica, 45(1), 2009, pp. 238–244.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA, USA

    Ali Saberi

  2. Department of Electrical Engineering, Mathematics, and Computer Science, University of Twente, Enschede, The Netherlands

    Anton A. Stoorvogel

  3. Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ, USA

    Peddapullaiah Sannuti

Authors
  1. Ali Saberi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anton A. Stoorvogel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Peddapullaiah Sannuti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media New York

About this chapter

Cite this chapter

Saberi, A., Stoorvogel, A.A., Sannuti, P. (2012). Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: discrete time. In: Internal and External Stabilization of Linear Systems with Constraints. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4787-2_16

Download citation

Publish with us

Policies and ethics

Search

Navigation