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N-D representation and generalised Kalman–Yakubivich–Popov lemma of spatially interconnected systems with interconnected chains

Author

Listed:
  • Guopeng Wang
  • Huiling Xu
  • Xiaokai Zhai
  • Juan Yao

Abstract

This paper presents a multidimensional (N-D) hybrid Roesser model for a class of spatially interconnected systems (SISs) with interconnected chains. A generalised Kalman–Yakubivich–Popov (KYP) lemma for N-D hybrid Roesser model is developed, which plays a significant role in the system control and synthesis. As the application of the developed generalised KYP lemma, robust finite-frequency H∞ filter problem for SISs with interconnected chains is studied. Moreover, it is shown that the developed finite-frequency filter design methods are generally less conservative than the entire frequency ones. Finally, a practical example is provided to validate the effectiveness of the proposed method.

Suggested Citation

  • Guopeng Wang & Huiling Xu & Xiaokai Zhai & Juan Yao, 2017. "N-D representation and generalised Kalman–Yakubivich–Popov lemma of spatially interconnected systems with interconnected chains," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3160-3171, November.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3160-3171
    DOI: 10.1080/00207721.2017.1367431
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