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Model Reference Adaptive Control

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Adaptive Control of Hyperbolic PDEs

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

Abstract

We consider here an adaptive version of the output tracking results established in Sect. 3.5, and solve a model reference adaptive control problem where the goal is to make a measured signal track a reference signal from minimal knowledge of the system parameters. Consider system (2.1), which we restate here

$$u_t(x, t) - \lambda (x) u_x(x, t) = f(x) u(x, t) + g(x) u(0, t) \nonumber + \int _{0}^{x} h(x, \xi ) u(\xi , t) d\xi $$

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References

  • Anfinsen H, Aamo OM (2017) Model reference adaptive control of an unstable \(1\)–D hyperbolic PDE. In: 56th conference on decision and control. Melbourne, Victoria, Australia

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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). Model Reference Adaptive Control. In: Adaptive Control of Hyperbolic PDEs. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-05879-1_6

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