학술논문

Local stability properties of systems with saturation and deadzone nonlinearities
Document Type
Conference
Source
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) Decision and control Decision and Control, 1998. Proceedings of the 37th IEEE Conference on. 1:897-902 vol.1 1998
Subject
Robotics and Control Systems
Computing and Processing
Stability
Signal design
Error correction
Degradation
Nonlinear equations
Language
ISSN
0191-2216
Abstract
This paper considers the local stability of systems comprising linear time-invariant operators in combination with a deadzone nonlinearity. The behaviour of systems which are not globally bounded-input bounded-output stable is investigated, and it is shown that under certain conditions, such systems are bounded-output stable for a restricted class of inputs. A sufficient condition for this property is stated as a simple norm inequality, and the restricted input class is shown to be characterised by the energy of the signal. The applicability of this work to systems with saturation nonlinearity, and in particular the well-known "anti-windup" problem is shown, and an example given.