Control Law for Quadratic Stabilization of Perturbed Fuzzy Time-delay Large-scale Systems via Lmi

In this paper, the perturbed continuous-time large-scale system with time delays is represented by an equivalent Takagi-Sugeno type fuzzy model. First, two types of decentralized state feedback controllers are considered in this paper. Based on the Riccati-type inequality, the Razumikhin theorem, and the delay-dependent Lyapunov functional approach, some controller design approaches are proposed to stabilize the whole fuzzy time-delay system asymptotically. In these design methods, both the delay-independent and delay-dependent stabilization criteria are derived. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMI’s. Moreover, the systems with all the time-delays ij τ (t) are the same for all rules (i.e., ij τ (t) = m ij τ (t) = τij for all l ≠ m); the authors also propose a simpler and less conservative stabilizing criteria. A numerical example is given to illustrate the control design and its effectiveness.