Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems

DOI

10.1080/18756891.2013.862379How to use a DOI?

Keywords

Finite-time stability, Guaranteed cost, Fuzzy control, Linear matrix inequality

Abstract

This paper considers the problem of non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems. Firstly, the definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and we give a novel and explicit interpretation for non-fragile finite-time guaranteed cost control. Secondly, sufficient conditions for the existence of state feedback controller are derived in terms of linear matrix inequities (LMIs), which guarantee the requirements of the provided performance criterion. The related optimization problem is also offered to minimize the guaranteed cost performance bound. Finally, an illustrative example is presented to show the validity of the proposed scheme.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Lei Zhang
AU  - Xiang-Yun Wang
AU  - Kun Zhang
PY  - 2014
DA  - 2014/02/03
TI  - Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems
JO  - International Journal of Computational Intelligence Systems
SP  - 129
EP  - 135
VL  - 7
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.862379
DO  - 10.1080/18756891.2013.862379
ID  - Zhang2014
ER  -