Robust fuzzy stabilization of hybrid discrete delay T-S systems

Novel results on robust fuzzy stabilization are developed hereafter for discrete hybrid systems in the (T-S) fuzzy framework. The systems are subject to fractional parametric uncertainties and bounded time-delays. Linear matrix inequalities-based conditions are derived for stability analysis. By optimizing an appropriate performance measure, both stabilizing gains and the switching signal are generated. The analytical findings are validated on a typical water-quality system application to demonstrate the efficacy of the developed techniques.