Interval type-2 fuzzy-model-based control design for systems subject to actuator saturation under imperfect premise matching
Yuandi Li, Hak‐Keung Lam · 2016
In this paper, the problems of asymptotic stabilization for interval type-2 fuzzy systems with actuator saturation are investigated. The sufficient conditions for the existence of the interval type-2 fuzzy controller are in terms of sum-of squares (SOS). The problem is formulated and solved with more flexibility due to imperfect premise matching that the number of rules and premise membership functions of the fuzzy controller are not necessarily the same as the ones of the fuzzy model. The actuator saturation is depicted and dealt with contractively invariant ellipsoid. Piecewise linear membership functions enclosing the original lower and upper membership functions are employed to facilitate the stability analysis. A numerical example indicates the effectiveness of the derived results.