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-In this manuscript, model predictive control for class of discretefuzzy large-scale systems subjected to bounded time-varying delay anddisturbances is studied. The considered method is Razumikhin for time-varyingdelay large-scale systems, in which it includes a Lyapunov function associatedwith the original non-augmented state space of system dynamics in comparisonwith the Krasovskii method. As a rule, the Razumikhin method has a perfectpotential to avoid the inherent complexity of the Krasovskii method especiallyin the presence of large delays and disturbances. The considered large-scalesystem in this manuscript is decomposed into several subsystems, each of whichis represented by a fuzzy Takagi-Sugeno (T-S) model and the interconnectionbetween any two subsystems is considered. Because the main section of the modelpredictive control is optimization, the hierarchical scheme is performed forthe optimization problem. Furthermore, persistent disturbances are consideredthat robust positive invariance and input-to-state stability under suchcircumstances are studied. The linear matrix inequalities (LMIs) method isperformed for our computations. So the closed-loop large-scale system isasymptotically stable. Ultimately, by two examples, the effectiveness of theproposed method is illustrated, and a comparison with other papers is made byremarks.

Hierarchical Optimization-Based Model Predictive Control for a Class of  Discrete Fuzzy Large-Scale Systems Considering Time-Varying Delays and  Disturbances