Article ID Journal Published Year Pages File Type
5010673 Systems & Control Letters 2017 13 Pages PDF
Abstract

We design an adaptive control law stabilizing a class of systems of the form of n+1 linear partial differential equations (PDEs) of the hyperbolic type from boundary sensing only. We do this by combining a recently derived observer based on swapping design, with a backstepping-based adaptive control law with time-varying gains. Boundedness of all signals in the closed loop system and asymptotic convergence to zero pointwise in space for the system states are proved. The theory is demonstrated in a simulation.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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