L2-gain of systems with input delay and controller failure: zero-order hold model

This paper studies the stability and L 2 -gain problem for a class of systems with input delay subject to controller failure. When the controller fails, zero-order hold is adopted. The paper addresses how long and how frequent the failure can be and still maintain the system exponentially stable and...

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Bibliographic Details
Published inProceedings of the 2010 American Control Conference pp. 4058 - 4063
Main Authors Xi-Ming Sun, Guo-Ping Liu, Wei Wang, Rees, David
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2010
Subjects
average dwell time
Control system synthesis
Control systems
controller failure
Delay systems
Frequency
Hydrogen
Open loop systems
piecewise Lyapunov functional
Stability analysis
Sufficient conditions
Sun
switched systems
System performance
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ISBN9781424474264
1424474264
ISSN0743-1619
DOI10.1109/ACC.2010.5530511

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Summary:This paper studies the stability and L 2 -gain problem for a class of systems with input delay subject to controller failure. When the controller fails, zero-order hold is adopted. The paper addresses how long and how frequent the failure can be and still maintain the system exponentially stable and weighted L 2 -gain. We first utilize switched delay systems including unstable subsystems to describe the controller failure problem. Then, the concepts of controller average failure frequency and failure length rate are introduced. Next, based on a novel piecewise Lyapunov functional including the largedelay-integral terms (LDIT), sufficient conditions guaranteeing exponential stability and weighted L 2 -gain of the considered system are developed.
ISBN:9781424474264
1424474264
ISSN:0743-1619
DOI:10.1109/ACC.2010.5530511