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Adaptive Output-Feedback: Uncertain Boundary Condition

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Adaptive Control of Hyperbolic PDEs

Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

The adaptive control laws of the previous chapter assumed distributed measurements, which are rarely available in practice. This chapter presents adaptive output-feedback control laws for system (7.4) with an uncertain parameter q in the boundary condition anti-collocated with actuation. Only one boundary measurement is assumed available, and designs for both sensing collocated with actuation and anti-collocated with actuation are presented, since they require significantly different analysis.

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References

  • Anfinsen H, Aamo OM (2016) Boundary parameter and state estimation in \(2\times 2\) linear hyperbolic PDEs using adaptive backstepping. In: 55th IEEE conference on decision and control, Las Vegas, NV, USA

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  • Anfinsen H, Aamo OM (2017a) Adaptive stabilization of \( n + 1 \) coupled linear hyperbolic systems with uncertain boundary parameters using boundary sensing. Syst Control Lett 99:72–84

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  • Anfinsen H, Aamo OM (2017b) Adaptive stabilization of \( 2 \times 2 \) linear hyperbolic systems with an unknown boundary parameter from collocated sensing and control. IEEE Trans Autom Control 62(12):6237–6249

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  • Ioannou P, Sun J (1995) Robust adaptive control. Prentice-Hall Inc., Upper Saddle River

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Authors and Affiliations

  1. Department of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, Norway

    Henrik Anfinsen & Ole Morten Aamo

Authors
  1. Henrik Anfinsen
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  2. Ole Morten Aamo
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Correspondence to Henrik Anfinsen .

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Anfinsen, H., Aamo, O.M. (2019). Adaptive Output-Feedback: Uncertain Boundary Condition. In: Adaptive Control of Hyperbolic PDEs. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-05879-1_10

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