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

Guoyan Cao, Karolos M. Grigoriadis and Puchen Liu

International Journal of Systems Science, 2021, vol. 52, issue 16, 3451-3465

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.

Date: 2021
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DOI: 10.1080/00207721.2021.1929555

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