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Output feedback stabilization of two-dimensional fuzzy systems

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Abstract

This paper is concerned with the output feedback stabilization of two-dimensional discrete fuzzy systems described by the Fornasini–Marchesini second model. Based on the fuzzy-basis-dependent Lyapunov function, a new criterion is proposed for the fuzzy static output feedback (SOF) controller, which is expressed as strict linear matrix inequalities and hence numerically tractable. The main advantage of the developed SOF control scheme is that no constraints are imposed on system matrices, which is expected to have a wider range of applications. The applicability and the advantage of the proposed results are shown through two numerical examples.

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Authors and Affiliations

  1. School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, 200090, China

    Lizhen Li, Yuan Chai & Jingjing Cai

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798, Singapore

    Zhiping Lin

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  1. Lizhen Li
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  2. Zhiping Lin
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  3. Yuan Chai
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  4. Jingjing Cai
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Correspondence to Zhiping Lin.

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The work described in this paper was substantially supported by the National Nature Science Foundation of China under Grant 11502139 and 11701359.

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Li, L., Lin, Z., Chai, Y. et al. Output feedback stabilization of two-dimensional fuzzy systems. Multidim Syst Sign Process 30, 1731–1748 (2019). https://doi.org/10.1007/s11045-018-0625-x

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  • DOI: https://doi.org/10.1007/s11045-018-0625-x

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