L/sub 2/ robust stability analysis for the fuzzy feedback linearization regulator
Hyung-Jin Kang, Cheol Kwon, Yang-Hee Yee, Mignon Park · 2002
Using Takagi-Sugeno fuzzy model, feedback linearisation which is widely used in nonlinear control theory can be applied to fuzzy control. If perfect linearization can be obtained, the stability can be analysed by linear system theory. However, since modeling uncertainty and disturbance affect the stability, the robust stability analysis is needed to deal with uncertainty. In this paper, the sufficient L/sub 2/ robust stability condition is derived from the multivariable circle criterion. A simple example illustrates the proposed method.