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Cooperative identification of advection–diffusion processes with spatially varying coefficients based on a multi-model structure

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  • Jie You
  • Wencen Wu

Abstract

This work develops a practical real-time identification strategy for advection–diffusion processes with spatially varying coefficients. A novel multi-model structure that represents the processes in practical applications is proposed. The multi-model structure is parameterised as blended linear partial differential equation models. Both the offline centralised and the online distributed identification algorithms using mobile sensor networks are proposed. Trajectories for mobile sensor networks in the advection–diffusion field with spatially varying parameters are found, and distributed control laws to guide the mobile sensor networks to follow the trajectories while keeping desired formations are designed. The effectiveness of this proposed method is demonstrated in simulations.

Suggested Citation

  • Jie You & Wencen Wu, 2017. "Cooperative identification of advection–diffusion processes with spatially varying coefficients based on a multi-model structure," Cyber-Physical Systems, Taylor & Francis Journals, vol. 3(1-4), pages 103-120, October.
  • Handle: RePEc:taf:tcybxx:v:3:y:2017:i:1-4:p:103-120
    DOI: 10.1080/23335777.2017.1415979
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