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A Generalized Approach to Stabilization of Interconnected Fuzzy Systems

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Abstract

The objective of this paper is to propose a generalized approach to state-feedback stabilization of interconnected fuzzy systems. The proposed algorithms, which are formulated within the convex optimization framework, provide decentralized solutions to the problem of asymptotic stability with strict dissipativity. It is established that the new methodology can reproduce earlier results on passivity, positive realness, and disturbance attenuation. Numerical examples are presented to illustrate the applicability of the design method.

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Acknowledgments

We would like to thank the reviewers for their constructive suggestions which helped toward improving the paper. This research work was supported by KFUPM research group Project No. RG1316-1.

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  1. Distributed Control Research Lab, Systems Engineering Department, KFUPM, P. O. Box 5067, Dhahran, 31261, Saudi Arabia

    Magdi S. Mahmoud

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  1. Magdi S. Mahmoud
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Correspondence to Magdi S. Mahmoud.

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Mahmoud, M.S. A Generalized Approach to Stabilization of Interconnected Fuzzy Systems. Int. J. Fuzzy Syst. 18, 773–783 (2016). https://doi.org/10.1007/s40815-015-0137-x

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