Robust control design of fuzzy dynamical systems

This paper presents stability analysis and robust control design for Takagi and Sugeno (T-S) fuzzy dynamical systems. A systematic approach is proposed to check the stability of the T-S fuzzy system. We then extend the consideration to the uncertainty case, which can be nonlinear and (possibly fast) time-varying. Only the possible bound of the uncertainty is needed. If the uncertainty is matched, a robust control scheme is proposed, which renders the fuzzy system practically stable. If the uncertainty is mismatched, we show that a mismatched threshold is needed to ensure stability.