0
TECHNICAL BRIEFS

Frequency Domain Criteria for Synthesizing Robustly Stabilizing Compensators for a Class of Interval Plants

[+] Author and Article Information
Yongdong Zhao, Suhada Jayasuriya

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843

J. Dyn. Sys., Meas., Control 117(2), 241-247 (Jun 01, 1995) (7 pages) doi:10.1115/1.2835185 History: Received September 01, 1991; Online January 22, 2008

Abstract

Considered in this paper is the robust stabilization of a special family of single-input single-output, interval plants in which only the denominator polynomial or the plant poles are uncertain. Two frequency domain necessary and sufficient conditions are derived for the robust stability of the closed-loop system. The first stability criterion reduces to a question of whether or not a specially constructed polar plot intersects the box [−1, 1] × [−1, 1] in the complex plane and the second reduces to a question of whether or not the polar plot of the nominal loop transfer function intersects a specially constructed frequency dependent domain in the complex plane. Both criteria can be used for synthesizing controllers for the special class of interval plants considered. A loop shaping technique is proposed for the synthesis of a robustly stabilizing compensator. For the special class of interval plants considered, the polar plot of the nominal loop transfer function must not intersect a frequency dependent parallelogram. The four corners of the parallelogram can be explicitly computed at each frequency.

Copyright © 1995 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

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 Journal Articles
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