4.7 Article

Robust Filtering Design for Stochastic System With Mode-Dependent Output Quantization

Journal

IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 58, Issue 12, Pages 6410-6416

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2010.2070496

Keywords

External disturbance; filtering; quantized measurement; state estimation; stochastic systems

Funding

  1. GRF [CityU 101109]
  2. CityU [7002561]
  3. Technology Innovation Key Foundation of Shanghai Municipal Education Commission [09ZZ60]
  4. Shanghai Leading Academic Discipline Project [B504]
  5. National Natural Science Foundation of China [60825303, 60834003, 61074041]
  6. 973 Project [2009CB320600]

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This work is to investigate the problem of filter design for uncertain stochastic systems with mode-dependent quantized output measurements. The issues involved in this correspondence are output logarithmic quantization, Markovian jump parameters, It stochastic noise, and state noise. By employing an effective mathematical transformation, the quantization error of the output in the system equation is converted into a bounded nonlinearity. Based on the proposed model, a mode-dependent H-infinity filter is designed, and sufficient conditions are established such that the filtering error system is robustly stochastically stable. A simulation example is presented to illustrate the effectiveness of the proposed approach.

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