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Control synthesis of reaction–diffusion systems with varying parameters and varying delays

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  • Guoyan Cao
  • Karolos M. Grigoriadis
  • Puchen Liu

Abstract

In this paper, the analysis and state-feedback control synthesis for reaction–diffusion linear parameter-varying (LPV) systems with time delays and Robin boundary conditions are addressed. We explore the stability and $ \mathcal {L}_2 $ L2 gain performance for reaction–diffusion LPV systems using parameter-dependent Lyapunov functionals. Both analysis and synthesis conditions are formulated in terms of linear matrix inequalities (LMIs) that can be solved via efficient convex optimisation solvers. A numerical example of automated blood pressure regulation via vasoactive drug infusion is explored to demonstrate the effectiveness of the proposed state-feedback control synthesis.

Suggested Citation

  • Guoyan Cao & Karolos M. Grigoriadis & Puchen Liu, 2021. "Control synthesis of reaction–diffusion systems with varying parameters and varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(16), pages 3451-3465, December.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3451-3465
    DOI: 10.1080/00207721.2021.1929555
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