Abstract
A networked switched fuzzy system, as a special networked control system, is studied. Such a system with network-induced delays and packet dropout is represented as a switched fuzzy system with time-varying delays. For this system, we investigate a robust \(H_{\infty }\) control problem. The solvability for the \(H_{\infty }\) control problem of each fuzzy subsystem is not assumed. Based on the multiple Lyapunov functions method, a state feedback control law and a switching law are designed such that the robust \(H_{\infty }\) control problem of the closed-loop system is solvable. Meanwhile, Lyapunov–Krasovskii functionals and free-weighting matrices are taken to deal with the induced delay and packet dropout caused by network. Finally, an example is given to verify the effectiveness of the proposed approach.
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This work was supported by the National Natural Science Foundation of China under Grants 61233002 and 61174073, and IAPI Fundamental Research Funds under Grant 2013ZCX03-01.
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Luo, J., Zhao, J. Robust \(H_{\infty }\) Control for Networked Switched Fuzzy Systems with Network-Induced Delays and Packet Dropout. Circuits Syst Signal Process 34, 663–679 (2015). https://doi.org/10.1007/s00034-014-9860-z
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DOI: https://doi.org/10.1007/s00034-014-9860-z