New Results on Proportional Plus Derivative Feedback Control for Singular Takagi-Sugeno Fuzzy Systems Based on Observer Design

This paper presents new insights into the design of a proportional plus derivative (PD) feedback controller for singular Takagi-Sugeno (T-S) fuzzy systems based on observer design. By introducing certain free-weighting matrices and employing Lyapunov theory, sufficient conditions for ensuring the stability of the closed-loop system are provided in the form of linear matrix inequalities (LMIs). To solve for the controller and observer parameters, an iterative algorithm-based solution approach is proposed. Finally, the effectiveness of the proposed method is validated through a simulation example.