Integral-Input-Output to State Stability
Brian Ingalls
TL;DR
This paper introduces a variant of input-output to state stability (IOSS) for nonlinear systems, using an integral norm to measure signals, expanding the existing ISS and OSS frameworks.
Contribution
It proposes a new integral-input-output to state stability (IOSS) concept, enhancing the detectability analysis in nonlinear systems with integral norms.
Findings
Defines a new integral IOSS property
Extends detectability notions for nonlinear systems
Provides theoretical framework for integral norms
Abstract
A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and a more complete detectability notion, ``input-output to state stability'' (IOSS) have appeared in the literature. This note addresses a variant of the IOSS property, using an integral norm to measure signals, as opposed to the standard supremum norm that appears in ISS theory.
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Taxonomy
TopicsFault Detection and Control Systems · Adaptive Control of Nonlinear Systems · Control Systems and Identification