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Decentralized \(H_\infty\) quantized control for uncertain interconnected networked systems. (Chinese. English summary) Zbl 1224.93041

Summary: The \(H_\infty\) decentralized state feedback controllers and the quantizers’ parameters of uncertain interconnected networked systems with two quantized signals in states and control inputs are studied. Since the states and control inputs need to be quantized by general quantizers before passing to the controllers and systems, the systems’ performance is not guaranteed. Therefore, a state-dependent strategy for updating the quantizers’ parameters is proposed, so that the closed-loop system is asymptotically stable and achieves the same \(H_\infty\) disturbance attenuation level as on no quantizers circumstance. Both the designed controllers and the quantizers’ parameters are constructed in a decentralized manner, depending on local information.

MSC:

93B36 \(H^\infty\)-control
93A14 Decentralized systems
93D20 Asymptotic stability in control theory
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