Abstract
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.
Published Version
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