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.