Filtering for Discrete-Time Nonlinear Singular Systems with Quantization

Yifu Feng, Zhi-Min Li and Xiao-Heng Chang

Mathematical Problems in Engineering, 2017, vol. 2017, 1-9

Abstract:

This paper investigates the problem of 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 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 noise attenuation level. By introducing some slack variables and using the Lyapunov stability theory, some sufficient conditions for the existence of the nonlinear quantized 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9548407

DOI: 10.1155/2017/9548407

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