Quadratic Stabilization of Takagi-Sugeno Fuzzy Discrete-time Uncertain Networked Systems

Abstract

For one class of Takagi-Sugeno uncertain time-delay discrete-time systems this paper proposes an extended way to account related constraints in problem solving of the networked control system quadratic stability reflecting sensor drifts and communication delays. The new design conditions are proposed, exploiting a set of linear matrix inequalities to guaranty the closed-loop system quadratic stability where a specific Lyapunov-Krasovskii functional is exploited. Combining into the functional the disturbance transfer function H∞ norm upper bound, the design task is defined as a multi-objective robust control problem, while only the set of time-invariant control law gains are used in the fuzzy parallel structure of the controller realization. A numerical example is included to assess the feasibility of the technique and its applicability.