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Control of Higher–Dimensional PDEs pp 223–267Cite as

Backstepping for Linear Diffusion–Convection–Reaction Systems with Varying Parameters on 1–Dimensional Domains

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Abstract

For finite–dimensional (nonlinear) systems backstepping yields a powerful recursive technique for feedback stabilization [13]. The approach relies on the application of a Lyapunov–based or passivation design to a part of the system followed by a successive reapplication by augmenting the subsystem at each step to finally recover the whole system [27, 11].

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Authors and Affiliations

  1. Automation and Control Institute / E376, Vienna University of Technology, Gusshausstrasse 27-29, 1040, Vienna, Austria

    Thomas Meurer

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  1. Thomas Meurer
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Meurer, T. (2013). Backstepping for Linear Diffusion–Convection–Reaction Systems with Varying Parameters on 1–Dimensional Domains. In: Control of Higher–Dimensional PDEs. Communications and Control Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30015-8_8

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  • DOI: https://doi.org/10.1007/978-3-642-30015-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30014-1

  • Online ISBN: 978-3-642-30015-8

  • eBook Packages: EngineeringEngineering (R0)

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