On Stabilization of Uncertain Takagi-Sugeno Fuzzy Discrete-time Systems with Delayed Control Input

Determinate techniques for stabilization of the Takagi-Sugeno uncertain time-delay discrete-time systems with delayed information from sensors is the subject of this paper. By exploiting Lyapunov-Krasovskii functional, the new control design terms are placed in the domain and formulate the set of linear matrix inequalities, guaranteeing the closed-loop quadratic stability. Combining into the functional the disturbance transfer function
$\mathbf{H}_{\infty}$
norm upper bound, the cumulative task is defined as a multi-objective robust control problem. The key idea is to design a parallel structure of the fuzzy controller realization, while only the time-invariant control law gains are used. The problem is illustrated by an motivating example.