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Peng, Dan; Zhang, Yuting

Stability analysis for 2-D switched Takagi-Sugeno fuzzy systems with stable and unstable subsystems. (English) Zbl 07889143

Asian J. Control 25, No. 3, 2204-2213 (2023).
Summary: This paper is concerned with the problem of stability of two-dimensional (2-D) switched Takagi-Sugeno (T-S) fuzzy systems with stable and unstable subsystems described by the Roesser model with constant delays. The T-S fuzzy model is applied to close the discrete-time nonlinear subsystems. By utilizing the definitions of mode-dependent average dwell time (MDADT) method and a quasi-alternative switching signal, the stability condition for 2-D discrete-time switched systems composed of stable and unstable subsystems is derived, and a study on one-dimentional (1-D) system can be seen as a special case. Finally, the effectiveness and advantage of the obtained results are illustrated through practical example by LMI toolbox.
© 2022 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd

MSC:

93-XX Systems theory; control

Keywords:

2-D switched systems; mode-dependent average dwell time (MDADT); Roesser model; stable and unstable subsystems; Takagi-Sugeno (T-S) fuzzy systems
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References:

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