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Singular L2‐gain control for switched nonlinear control systems under arbitrary switching

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This article concerns with the synthesis of L2‐gain state feedback controllers, without the standard regular assumption, for multi‐input switched nonlinear control‐affine systems under arbitrary switching. A common control storage function… Click to show full abstract

This article concerns with the synthesis of L2‐gain state feedback controllers, without the standard regular assumption, for multi‐input switched nonlinear control‐affine systems under arbitrary switching. A common control storage function approach is developed for deriving sufficient conditions for the existence of uniform L2‐gain controllers. Moreover, an explicit formula for constructing L2‐gain controllers is presented. A numerical example is given for illustration.

Keywords: arbitrary switching; systems arbitrary; gain; switched nonlinear; nonlinear control; control

Journal Title: International Journal of Robust and Nonlinear Control
Year Published: 2020

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