State-Dependent Switching \mathcal Gain for Analyzing the Fluctuations in Transient Responses After a System Switch

We propose a state-dependent switching \mathcal{L}_{2} gain for analyzing the fluctuations in transient response after an unpredictable switch between two linear time-invariant systems. Its value depends on the state of a pre-switch system at a switching time. Thus, it enables us to theoretically di...

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Bibliographic Details
Published in2018 IEEE Conference on Decision and Control (CDC) pp. 6263 - 6268
Main Authors Suyama, Koichi, Sebe, Noboru
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2018
Subjects
Aerospace electronics
Hafnium
Riccati equations
Switches
Transient analysis
Transient response
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Summary:We propose a state-dependent switching \mathcal{L}_{2} gain for analyzing the fluctuations in transient response after an unpredictable switch between two linear time-invariant systems. Its value depends on the state of a pre-switch system at a switching time. Thus, it enables us to theoretically discuss the effects of the situation at a switching time on the fluctuations in transient responses after the switch. For example, its value distribution in the state space of a pre-switch system can be used for evaluating the dangerous extent of the situation at an occurrence time of a control device failure.
ISSN:2576-2370
DOI:10.1109/CDC.2018.8618974