Decentralized uniform input-to-state stabilization of hierarchically interconnected triangular switched systems with arbitrary switchings

Decentralized uniform input-to-state stabilization of hierarchically interconnected triangular... We consider a class of large-scale systems composed of hierarchically interconnected switched nonlinear triangular form subsystems affected by external disturbances with arbitrarily varying switching signals. For any system of this class, we design a decentralized feedback controller which renders the entire large-scale closed-loop system globally ISS with respect to the external disturbances uniformly and regardless of the unknown switching signals. To solve the problem, we use a certain modification of the classical small gain theorems formulated in terms of the ISS Lyapunov functions and combine it with our version of the backstepping approach with a suitable gain assignment. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatica Elsevier

Decentralized uniform input-to-state stabilization of hierarchically interconnected triangular switched systems with arbitrary switchings

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier Ltd
ISSN
0005-1098
D.O.I.
10.1016/j.automatica.2018.04.029
Publisher site
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Abstract

We consider a class of large-scale systems composed of hierarchically interconnected switched nonlinear triangular form subsystems affected by external disturbances with arbitrarily varying switching signals. For any system of this class, we design a decentralized feedback controller which renders the entire large-scale closed-loop system globally ISS with respect to the external disturbances uniformly and regardless of the unknown switching signals. To solve the problem, we use a certain modification of the classical small gain theorems formulated in terms of the ISS Lyapunov functions and combine it with our version of the backstepping approach with a suitable gain assignment.

Journal

AutomaticaElsevier

Published: Aug 1, 2018

References

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