Decentralized control design for switched fuzzy large-scale systems with H∞ performance

This paper investigates the H∞ control design problem for a class of switched discrete-time Takagi-Sugeno (T-S) fuzzy large-scale systems. The considered fuzzy large-scale systems consist of several interconnected subsystems with different switching modes and each switching mode is described by T-S fuzzy models. In addition, there exists the asynchronous switching between the system switching modes and the controller switching modes. By using parallel distributed compensation design method, a state feedback decentralized controller with H∞ performance is developed. The sufficient conditions of ensuring the switched control system stability are proposed based on the theory of Lyapunov function and average-dwell time methods, which are formulated in the form of linear matrix inequalities (LMIs). An illustrated numerical example is provided to show the effectiveness of the obtained theoretical results.