Identification of Box–Jenkins models for spatially interconnected systems in closed-loop

Ahsan Ali, Mukhtar Ali*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper presents an identification method for spatially interconnected distributed systems operating in closed-loop. The proposed approach makes use of refined instrumental variable method to identify spatially interconnected systems in Box–Jenkins form, where the controller is assumed to be known. The method presented here can yields statistically optimal estimates, and compared with other approaches to identify such systems under similar scenarios, takes far less time. The approach is applicable to both separable and non-separable systems and takes into account the boundary conditions. Though described only for two-dimensional systems, it is readily extendible to systems having more spatial dimensions. The effectiveness of the method is shown by a simulation example.

Original languageEnglish
Pages (from-to)245-255
Number of pages11
JournalMultidimensional Systems and Signal Processing
Issue number1
Early online date25 Oct 2016
Publication statusPublished - Jan 2018
Externally publishedYes


  • Distributed systems control
  • Control of spatially interconnected systems
  • Identification of distributed systems
  • Identification of multi-dimensional systems
  • Linear systems


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