Backstepping-based stabilization of the pool-boiling system: An application of the circle criterion

We deal with the problem of the stabilization of the nonlinear PDE system that represents a pool boiling under a feedback loop. Toward this end, first we study well-posedness by discussing the choice of the appropriate space of functions, where the problem is cast. Second, we focus on various examples of backstepping feedback laws that can ensure stability and analyze them by using Popov-like theorems based on the circle criterion. Third, simulation results are reported to illustrate the findings of the theoretical investigation.

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