Non-adaptive Schemes

Anfinsen, Henrik; Aamo, Ole Morten

doi:10.1007/978-3-030-05879-1_8

Henrik Anfinsen⁷ &
Ole Morten Aamo⁷

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

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Abstract

In this chapter, non-adaptive controllers and observers will be derived. Most of the results will concern systems in the form (7.4), which we restate here

$$u_t(x, t) + \lambda (x) u_x(x, t) = c_{1}(x) v(x, t)$$

$$v_t(x, t) - \mu (x) v_x(x, t) = c_{2}(x) u(x, t)$$

$$u(0, t) = q v(0, t)$$

$$v(1, t) = U(t)$$

$$u(x, 0) = u_0(x)$$

$$v(x, 0) = v_0(x)$$

.

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Authors and Affiliations

Department of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, Norway
Henrik Anfinsen & Ole Morten Aamo

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Henrik Anfinsen
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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_8

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DOI: https://doi.org/10.1007/978-3-030-05879-1_8
Published: 22 February 2019
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-05878-4
Online ISBN: 978-3-030-05879-1
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