Abstract

The primary concern of the present paper is the regulation of an uncertain heat process with collocated boundary sensing and Neumann-type actuation. It exhibits an unknown constant diffusivity parameter and it is affected by a smooth boundary disturbance, which is possibly unbounded in magnitude. The proposed robust synthesis is formed by a discontinuous version of a PI controller. It is applied here for the global asymptotic stabilization of an infinite dimensional system in a suitable Sobolev space. The Lyapunov based stability proof is accompanied by a set of simple tuning rules for the controller parameters. The effectiveness of the developed scheme is supported by simulation results.

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