Full Content is available to subscribers

Subscribe/Learn More  >

A Lyapunov Proof of Stability for Parallel Controllers of SISO Systems

[+] Author Affiliations
Andy Zelenak, Meredith Pitsch, Benito Fernández, Mitch Pryor

University of Texas at Austin, Austin, TX

Paper No. DETC2017-68036, pp. V006T10A017; 8 pages
  • ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Cleveland, Ohio, USA, August 6–9, 2017
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5820-2
  • Copyright © 2017 by ASME


For dynamic systems, it is known that stability (in general) cannot be guaranteed for individually-stabilizing controllers in combination, so the combined system must be analyzed to ensure stability. This paper presents a simple, graphical proof of Lyapunov stability for parallel controllers of SISO, input-affine, autonomous systems. This encompasses a broad range of all linear autonomous systems and many nonlinear, autonomous SISO systems. The proof allows Lyapunov stability theory to be used instead of the more complex and restrictive passivity approach. The paper also explains why it is often desirable to place controllers in parallel.

Copyright © 2017 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In