Saturated feedback stabilizability to trajectories for the Schlögl parabolic equation

2021/11/02 by Azmi, Behzad, Kunisch, Karl, Rodrigues, Sérgio S. · 2 citations
#35K58 #93B45 #93C20 #93D15 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2111.01329

Abstract

It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated feedback control input whose magnitude is bounded by a constant independent of the given targeted trajectory. Simulations are presented showing the stabilizing performance of the explicit feedback constrained control. Further, such performance is compared to that of a receding horizon constrained control minimizing the classical energy cost functional.

Cited by

• Feedback stabilization of some fourth-order nonlinear parabolic equations with saturated controls
• Stabilization of nonautonomous linear parabolic equations with inputs subject to time-delay

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