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Non-adaptive Schemes

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Adaptive Control of Hyperbolic PDEs

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

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Abstract

In this chapter, a non-adaptive state feedback controller and boundary observers will be derived for system (13.1), subject to assumptions (13.9) and (13.10). For simplicity we also assume \( k_1 = k_2 = k_3 = 1 \), which can be achieved by a scaling of the actuation signal and measurements.

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References

  • Bin M, Di Meglio F (2017) Boundary estimation of boundary parameters for linear hyperbolic PDEs. IEEE Trans Autom Control 62(8):3890–3904

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  • Hu L, Vazquez R, Meglio FD, Krstić M (2015) Boundary exponential stabilization of \(1\)-D inhomogeneous quasilinear hyperbolic systems. SlAM J Control Optim

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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). Non-adaptive Schemes. In: Adaptive Control of Hyperbolic PDEs. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-05879-1_14

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