Stability analysis for a type of T-S fuzzy control systems using integral quadratic constraints

Recently, the well-known circle criterion and Popov criterion are introduced to investigate the stability of a type of T-S fuzzy control systems. Although both the two corresponding stability conditions have elegant graphical interpretations, the relation of them is not well studied. In this paper, we try to explain the two conditions by a new unified stability condition, which is based on the integral quadratic constrains (IQCs). In addition, the proposed method is less conservative than the circle criterion and Popov criterion based methods. A numerical example is given to demonstrate how to use this criterion in analyzing the T-S fuzzy control systems.