New Results on Dissipative Control for a Class of Singular Takagi–Sugeno Fuzzy Systems With Time Delay

This article studies the problem of dissipative control for singular Takagi–Sugeno fuzzy systems with time delay. In order to reduce the conservatism brought by the time delay, we choose a proper augmented Lyapunov–Krasovskii functional and the auxiliary-function-based integral inequality to analyze the admissibility and dissipativity of the system. The singularity of the derivative matrix of the system leads to the matrix coupling terms, which are difficult to handle in the controller design by using the common controller design methods, so we propose an iterative algorithm to solve the controller parameters. The sufficient conditions of ensuring that the closed-loop system is admissible and dissipative are presented. Finally, three persuasive examples are given to demonstrate the effectiveness of the proposed method.