A Fault Detection Filtering for Networked Control Systems Based on Balanced Reduced-Order

Dai, Dameng

doi:10.1155/2015/673201

Cited by 1 publication

(1 citation statement)

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“…On the other hand, due to inherent network-limited bandwidth, quantization effects are unavoidable in practical systems, especially in networked control systems (NCSs); see [20][21][22] for results in NCSs. As early as 1956, Kalman investigated the effect of quantization in a sampled data control system and pointed out that if a stabilizing controller was quantized using a finite-alphabet quantizer, the feedback system would exhibit limit cycles and chaotic behavior [23].…”

Section: Introductionmentioning

confidence: 99%

H∞ Filtering for Discrete‐Time Nonlinear Singular Systems with Quantization

Yang

Li²,

Chang

2017

Mathematical Problems in Engineering

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This paper investigates the problem of H ∞ filtering for class discrete-time Lipschitz nonlinear singular systems with measurement quantization. Assume that the system measurement output is quantized by a static, memoryless, and logarithmic quantizer before it is transmitted to the filter, while the quantizer errors can be treated as sector-bound uncertainties. The attention of this paper is focused on the design of a nonlinear quantized H ∞ filter to mitigate quantization effects and ensure that the filtering error system is admissible (asymptotically stable, regular, and causal), while having a unique solution with a prescribed H ∞ noise attenuation level. By introducing some slack variables and using the Lyapunov stability theory, some sufficient conditions for the existence of the nonlinear quantized H ∞ filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to demonstrate the effectiveness of the proposed quantized filter design method.

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Section: Introductionmentioning

confidence: 99%