Accession Number:

ADA454728

Title:

On Stabilization with a Prescribed Region of Asymptotic Stability

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK SYSTEMS RESEARCH CENTER

Report Date:

1988-01-01

Pagination or Media Count:

10.0

Abstract:

An important unsolved problem in nonlinear control is that of stabilization with a prescribed region of stability. In this paper, sufficient conditions are obtained for the existence of a linear feedback stabilizing an equilibrium point of a given nonlinear system with the resulting region of asymptotic stability RAS containing a ball of given radius. Conditions for global stabilization are also given. Feedback stabilization is achieved while satisfying a certain robustness property. The technique is applied to planar systems, resulting in a complete design methodology for this case. Examples and simulations illustrating the method are presented.

Subject Categories:

  • Theoretical Mathematics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE