Accession Number:
ADA454728
Title:
On Stabilization with a Prescribed Region of Asymptotic Stability
Descriptive Note:
Corporate Author:
MARYLAND UNIV COLLEGE PARK SYSTEMS RESEARCH CENTER
Personal Author(s):
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.
Descriptors:
Subject Categories:
- Theoretical Mathematics
- Operations Research