Adaptive set-point regulation of linear 2 × 2 hyperbolic systems with uncertain affine boundary condition using collocated sensing and control

In this paper, an adaptive control law that stabilizes a 2 × 2 linear hyperbolic system and achieves set-point regulation is derived. Sensing is restricted to be collocated with the control and anti-collocated with two uncertain parameters in an affine boundary condition. Proof of L 2 -boundedness f...

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Bibliographic Details
Published in2017 11th Asian Control Conference (ASCC) pp. 2766 - 2771
Main Authors Holta, Haavard, Anfinsen, Henrik, Aamo, Ole Morten
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2017
Subjects
Adaptive control
Backstepping
Boundary conditions
Kernel
Observers
Sensors
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Summary:In this paper, an adaptive control law that stabilizes a 2 × 2 linear hyperbolic system and achieves set-point regulation is derived. Sensing is restricted to be collocated with the control and anti-collocated with two uncertain parameters in an affine boundary condition. Proof of L 2 -boundedness for all signals in the closed loop is given, along with convergence to the set-point in the sense of an appropriate objective. The theory is demonstrated in a simulation.
DOI:10.1109/ASCC.2017.8287615