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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Younsi, L.E., Benzaouia, A. & Hajjaji, A.E. Decentralized Control Design for Switching Fuzzy Large-Scale T–S Systems by Switched Lyapunov Function with \(H_\infty \) Performance. Int. J. Fuzzy Syst. 21, 1104–1116 (2019). https://doi.org/10.1007/s40815-019-00623-z
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DOI: https://doi.org/10.1007/s40815-019-00623-z