Journal
SIGNAL PROCESSING
Volume 139, Issue -, Pages 102-109Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2017.03.029
Keywords
Discrete-time nonlinear systems; Measurement quantization; Robust filtering; Energy-to-peak filtering; Linear matrix inequalities
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This paper investigates the problem of robust energy-to-peak filtering for a class of discrete-time systems with norm-bounded uncertain parameters, measurement quantization and Lipschitz nonlinearity. Assume that the system measurement output is quantized by a static, memoryless and logarithmic quantizer before it being transmitted to the filter, while the quantization errors can be treated as sector-bound uncertainties. Attention is focused on the design of a robust energy-to-peak filter to mitigate quantization effects and ensure the filtering error system is asymptotically stable with a prescribed energy-to-peak noise attenuation level. Sufficient conditions for the existence of such a energy-to-peak filter are expressed in terms of linear matrix inequalities (LMIs). A numerical example is presented to demonstrate the effectiveness of the proposed design method. (C) 2017 Elsevier B.V. All rights reserved.
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