Paper Info
Title
Absolute stability analysis through a connection to saturation nonlinearities
Abstract
A generalized sector was introduced recently for improved stability analysis of systems with nonlinearity and/or uncertainty. While providing more flexibility and admitting more accuracy in the description of the nonlinear/uncertain component, the generalized sector is almost as numerically tractable as the traditional conic sector - necessary and sufficient conditions for absolute quadratic stability were identified in the form of linear matrix inequalities (LMIs) for continuous-time systems with one nonlinear component. The objective of this paper is to develop a general framework for absolute stability analysis of systems with multiple nonlinear components under a generalized sector condition. Through a connection between saturation functions and piecewise linear convex/concave functions, the generalized sector is described in terms of a set of saturation functions. This transforms the problem of absolute stability analysis into one of stability analysis for systems with saturation nonlinearities, for which effective tools have recently been developed. Under the general framework, we develop explicit conditions for absolute quadratic stability of discrete-time systems with one nonlinear component.
Year
DOI
Venue
2004
10.1109/CDC.2004.1429681
Decision and Control, 2004. CDC. 43rd IEEE Conference
Keywords
DocType
Volume
absolute stability,continuous time systems,control nonlinearities,discrete time systems,linear matrix inequalities,piecewise linear techniques,uncertain systems,absolute quadratic stability,absolute stability analysis,continuous-time systems,discrete-time systems,generalized sector,multiple nonlinear components,piecewise linear concave functions,piecewise linear convex functions,saturation functions,saturation nonlinearities,linear matrix inequality,piecewise linear,convex analysis,stability analysis
Conference
5
ISSN
ISBN
Citations 
0191-2216
0-7803-8682-5
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Tingshu Hu100.34
Zongli Lin23047270.03