Takagi–Sugeno Fuzzy Systems
John H. Lilly · 2010
Takagi-Sugeno (T-S) fuzzy systems are more general than the Mamdani fuzzy systems. The T-S systems are important because they enable a kind of control called parallel distributed control, they facilitate fuzzy identification of dynamic systems and adaptive fuzzy control, and they enable stability proofs for certain closed-loop systems involving fuzzy controllers. In T-S systems, the consequents of the rules do not involve fuzzy sets as do Mamdani systems, but instead are mathematical expressions. The mathematical expressions can be any linear functions of any variables. In this book, only consequents that are either memoryless affine functions of the fuzzy system's inputs, or one of the linear dynamic system model forms, are considered. In the former case, the T-S fuzzy system performs an interpolation between memoryless functions. In the latter case, the T- system performs an interpolation between dynamic systems. The latter case is useful for fuzzy identification and control. Controlled Vocabulary Terms fuzzy systems; linear systems; memoryless systems