Passivity and Passification for Switched T-S Fuzzy Systems With Sampled-Data Implementation

This article investigates the issues of passivity analysis and feedback passification for a class of switched Takagi-Sugeno (T-S) fuzzy systems with the sampled-data-dependent switching strategy and controllers. Different from the previous switching laws, the proposed switching law only requires the values of system state at the discrete sampling instants. More incisively, a dwell time constraint for all subsystems is produced, which reduces the switching frequency and avoids the occurrence of chattering phenomenon or Zeno behavior. Then, sufficient conditions for the existence of the sampled-data-dependent switching strategy and controllers are formulated, under which the switched T-S fuzzy systems is strictly passive without requiring the strict passivity of any subsystem. In addition, the storage function is only decreasing with respect to its value at the sampling times, which in turn implies that the storage function can be nonmonotonous. Finally, a numeral example and a room air regulating system are employed to demonstrate the effectiveness and applicability of the presented theoretical results.