Static Output Feedback Control for T-S Fuzzy Systems Using a Line-integral Fuzzy Lyapunov Function: An Iterative LMI Approach

This paper presents a design method for a static output feedback controller that asymptotically stabilizes continuous-time Takagi-Sugeno fuzzy systems using a line-integral fuzzy Lyapunov function. The conditions for the existence of such a static output feedback controller are formulated as bilinear matrix inequalities (BMIs), which demonstrates that the proposed conditions are more relaxed than existing ones. Additionally, we introduce an iterative algorithm to find solutions to the proposed BMI conditions.