Stability analysis for 2-D switched Takagi-Sugeno fuzzy systems with stable and unstable subsystems

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.