Finite-Time L2 Stabilization of Uncertain Delayed T-S Fuzzy Systems via Intermittent Control

This article focuses on finite-timeL2stabilization ofT-S fuzzy systems with time delays and parameter uncertainties viaintermittent control. To cope with the effects of parameters uncer-tainties, time delays, and intermittent divergence simultaneously,a new finite-time stability lemma for intermittently controlled sys-tems is presented. Then, a weighted 2-norm Lyapunov-Krasovskiifunctional (LKF) is established, which has the advantage that itis convenient to derive less conservative linear matrix inequalitysufficient conditions and to overcome the difficulty in analyzingL2performance under intermittent control frameworks. Anotheradvantage of our result over existing results is that the growth incre-ment of the LKF on the noncontrolled interval can be larger thanthe decreasing magnitude on the controlled interval. The merits ofthe theoretical results are examined by a numerical example and acoupled Chua's circuit.