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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

This chapter contains non-adaptive state-feedback controller and boundary observer designs for system (2.4), which we restate here for the convenience of the reader:

$$v_t(x, t) - \mu v_x(x, t) = \theta (x) v(0, t)$$
$$v(1, t)=\rho U(t)$$
$$v(x, 0)=v_0(x)$$
$$y(t)=v(0, t)$$

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Reference

  • Krstić M, Smyshlyaev A (2008) Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays. Syst Control Lett 57(9):750–758

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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_3

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