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Stability of 2D Discrete Takagi–Sugeno Systems

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Abstract

This paper deals with the problem of stability of 2D discrete Takagi–Sugeno systems described by Roesser model. Using a result established in Bliman (Multidimens. Syst. Signal Process. 13(2):201–222, 2002) related to asymptotic stability and based on quadratic Lyapunov functions, a new stability criterion is derived in terms of Linear Matrix Inequalities. Simulation examples are provided to demonstrate the efficiency of the proposed result.

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Acknowledgments

This work was supported by the project MSDOS ANR-13-BS03-0005.

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Correspondence to Mariem Ghamgui.

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Ghamgui, M., Mehdi, D., Bachelier, O. et al. Stability of 2D Discrete Takagi–Sugeno Systems. Circuits Syst Signal Process 36, 2256–2274 (2017). https://doi.org/10.1007/s00034-016-0425-1

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