Sampled-data control of asynchronously switched non-linear systems via T–S fuzzy model approach

This study deals with switched non-linear systems subject to sampled-data control. The states and switching signals of controllers in this study are both considered to be sampled. The corresponding closed-loop systems are modelled as asynchronously switched T–S fuzzy systems with time-varying delay. Based on asynchronous switching approach and time-varying delay approach, the state feedback controllers are designed in terms of a strict linear matrix inequality. Moreover, the switching strategy is studied to guarantee the exponential stability of the systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.