LMI-Based Control of Interval Type-2 T-S Fuzzy Systems with Model Uncertainty

The design of interval Type-2 Takagi-Sugeno fuzzy control systems (IT2 T-S FCSs) holding model uncertainty has been demonstrated. An IT2 T-S fuzzy model holding model uncertainty and IT2 fuzzy controllers constructed the closed-loop fuzzy control systems. The linear matrix inequality based (LMIbased) stability conditions for the IT2 T-S FCS holding model uncertainty have been derived. The main contribution shows the advantage using IT2 Fuzzy model instead of original fuzzy type model. The results have illustrated that the novel stability specifications are more universal and loosened than those of customary LMI-based ways. The interval Type-2 T-S fuzzy controller will result in larger feasible area.