Exponential mean-square stabilisation for non-linear systems: sampled-data fuzzy control approach

This study presents a sampled-data fuzzy control problem for non-linear systems with packet losses. A Takagi-Sugeno (T-S) fuzzy model is adopted for the non-linear systems and the packet loss is separately considered for the independent, identically distributed and Markovian cases. The sampled-data fuzzy controllers are designed for a T-S fuzzy model. Based on the closed-loop system, sufficient conditions are derived for the exponential mean-square stabilisation and formulated in terms of linear matrix inequalities. Finally, a numerical example is provided to verify the effectiveness of the proposed technique.