Popov-Type Criterion for Stability of Nonlinear Sampled-Data Systems

This paper studies input/output stability of nonlinear sampled-data systems with a sector nonlinearity. A stability condition of circle-criterion type was derived recently, for the case where the sector nonlinearity is possibly time varying and dynamical. In contrast, this paper deals with the case...

Full description

Saved in:
Bibliographic Details
Published in:Automatica (Oxford) 1998-06, Vol.34 (6), p.671-682
Main Authors: HAGIWARA, TOMOMICHI, KURODA, GO, ARAKI, MITUHIKO
Format: Article
Language:English
Subjects:
Absolute stability
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
convex optimization
Exact sciences and technology
FR-operator
frequency domains
multipliers
nonlinearity
sampled-data systems
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper studies input/output stability of nonlinear sampled-data systems with a sector nonlinearity. A stability condition of circle-criterion type was derived recently, for the case where the sector nonlinearity is possibly time varying and dynamical. In contrast, this paper deals with the case where it is time invariant and memoryless, and gives a less conservative stability criterion for such a case. It is derived by applying the multiplier technique, and corresponds to the Popov criterion in the continuous-time setting. The arguments make use of the frequency-domain theory of sampled-data systems, and a sort of convexity in the frequency domain plays an important role. A method with the cutting-plane algorithm is provided for finding a multiplier that proves stability. An illustrative example is also given.
ISSN:0005-1098
1873-2836
DOI:10.1016/S0005-1098(98)00017-X