0
RESEARCH PAPERS

Guaranteed Avoidance Control and Holding Control

[+] Author and Article Information
W. E. Schmitendorf

Department of Mechanical Engineering, Northwestern University, Evanston, Ill. 60201

B. R. Barmish

Department of Electrical Engineering, University of Rochester, Rochester, N.Y. 14627

B. S. Elenbogen

Department of Engineering Science and Applied Mathematics, Northwestern University, Evanston, Ill. 60201

J. Dyn. Sys., Meas., Control 104(2), 166-172 (Jun 01, 1982) (7 pages) doi:10.1115/1.3139692 History: Received September 03, 1981; Online July 21, 2009

Abstract

This paper considers the problem of steering the state of a system, in the presence of disturbances, so that it avoids a specified subset of the state space. This subset is called the avoidance set and the problem is called the avoidance control problem. An avoidance control is a control which guarantees that the system does not enter the avoidance set regardless of the disturbance. A necessary condition and a sufficient condition for the existence of an avoidance control are given when the disturbance is subject to magnitude constraints. Closely related to the avoidance problem is the holding problem which is concerned with guaranteeing that the state of the system remains within a specified set. We also reinterpret our conditions for the existence of an avoidance control within the context of the holding problem.

Copyright © 1982 by ASME
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.

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