Abstract
This paper investigates the $$H_{\infty }$$ control design for switched fuzzy discrete-time interconnected systems. This type of systems contains nonlinear interconnected subsystems. Every subsystem has different switching modes described by a T–S fuzzy model. Less conservative sufficient conditions are proposed and formulated in terms of LMIs obtained using Switched Lyapunov functions and parallel distributed compensation (PDC) controllers. The design is allowed by $$H_{\infty }$$ technique and a relaxed method is presented. Two numerical examples are developed to illustrate the effectiveness of the obtained results.
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