A New Relaxed Stability Condition for Takagi-Sugeno Fuzzy Control Systems Using Quadratic Fuzzy Lyapunov Functions and Staircase Membership Functions

@inproceedings{Cao2014ANR,
  title={A New Relaxed Stability Condition for Takagi-Sugeno Fuzzy Control Systems Using Quadratic Fuzzy Lyapunov Functions and Staircase Membership Functions},
  author={Kairui Cao and X. Z. Gao and H. K. Lam and Athanasios V. Vasilakos and Witold Pedrycz},
  year={2014}
}
This paper presents a new relaxed stability condition for Takagi-Sugeno (T-S) fuzzy control systems. Using quadratic fuzzy Lyapunov functions (QFLFs), the stability of closed-loop control system is guaranteed by the negative definiteness of several fuzzy summations. However, since the membership functions are continuous, the negative definiteness of these fuzzy summations implies an infinite number of linear matrix inequalities (LMIs), which cannot be solved directly by conventional convex… CONTINUE READING