Abstract
This paper is concerned with the quantized H ∞ filtering problem for discrete-time systems, which includes measurement quantization and time-varying delay. The quantized H ∞ filtering problem of systems with time-varying delays is transformed into the scaled small gain problem through a process two-term approximation. By using the Scaled Small Gain(SSG) Theorem and Lyapunov-Krasovskii functional(LKF) approach, sufficient conditions of the stability for the quantized filtering error system with a prescribed H ∞ performance level can be obtained. Then the corresponding quantized H ∞ filter can be designed to guarantee the asymptotic stability of the error system and also achieve the prescribed H ∞ disturbance attenuation level. A numerical example shows the validity of the designed filter.
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