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

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 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.