Stability and weighted l 2 -gain analysis of discrete-time switched T–S fuzzy systems based on admissible-edge-dependent weighted average dwell time strategy

The paper introduces the admissible-edge-dependent weighted average dwell time switching strategy that not only considers the differences and compensation between subsystems, but also takes into account the switching order of subsystems. The global uniform asymptotic stability and weighted l2-gain of a class of discrete-time switched nonlinear systems and its related switched T–S (Takagi–Sugeno) model are studied under the new strategy and the multiple discontinuous Lyapunov function approach. The obtained results present a larger feasible range of switching signals than the existing results. Finally, a numerical example is given to illustrate the validity and superiority of the results.