Stabilization of a class of uncertain feedforward nonlinear systems subject to input delay

This note presents nested-saturation controllers for stabilising a class of feed-forward nonlinear systems that are subject to uncertain gains and an input delay. To verify the reduction of nested saturations, we adopt the strategy of partitioning the delay-interval, and can thus use the state value...

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Bibliographic Details
Published inInternational journal of systems science Vol. 52; no. 7; pp. 1466 - 1478
Main Authors Liu, Jun, Ye, Huawen, Qi, Xianting
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 19.05.2021
Taylor & Francis Ltd
Subjects
Asymptotic properties
Coordinate transformations
Feedback control
input delay
Mathematical analysis
Nonlinear systems
saturated control
Stabilisation
Stability analysis
Stability criteria
Time delay systems
uncertain nonlinear systems
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Summary:This note presents nested-saturation controllers for stabilising a class of feed-forward nonlinear systems that are subject to uncertain gains and an input delay. To verify the reduction of nested saturations, we adopt the strategy of partitioning the delay-interval, and can thus use the state values in a small domain to calculate a crucial composite term; when proving the asymptotic stability of the reduced time-delay system, we utilise the nested structure of saturations to make a coordinate transformation and consequently, can use a M-matrix based stability criterion. In this way, the analysis in two stages is straightforward, and a single group of parameter conditions are summarised to guarantee the global asymptotic stability of the closed-loop system.
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2020.1859159