Novel LMI-based stability conditions for interval Type-2 T-S fuzzy logic control systems

This paper presents novel LMI-based stability conditions for interval Type-2 Takagi-Sugeno fuzzy logic control systems (IT2 T-S FLCSs). The IT2 T-S FLCSs are composed of an IT2 T-S fuzzy model and IT2 fuzzy controllers. The IT2 T-S fuzzy model could endure model uncertainty contrast to the traditional T-S fuzzy model. In this paper, a new theorem is offered to guarantee that the IT2 T-S FLCS represented a nonlinear plant with uncertainty is globally asymptotically stable. The IT2 T-S fuzzy controllers can be designed by using linear matrix inequality based (LMI-based) stability conditions for the IT2 T-S FLCS in the theorem. The Lyapunov function is applied to deduce these LMI-based robust stability conditions which could be numerically answered employing the Matlab LMI Toolbox. Computer simulation results demonstrate that the submitted LMI-based IT2 T-S fuzzy controllers have better performance than the traditional LMI-based T-S fuzzy controllers.