Backstepping design of robust state feedback regulators for second order hyperbolic PIDEs

Deutscher J, Kerschbaum S (2016)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2016

Journal

IFAC-PapersOnLine International Federation of Automatic Control

Publisher: Elsevier B.V.

Book Volume: 49

Pages Range: 80-85

Journal Issue: 8

DOI: 10.1016/j.ifacol.2016.07.422

Abstract

This contribution considers the backstepping design of robust state feedback regulators for second order hyperbolic partial integro-differential equations (PIDEs). To this end, the internal model principle is applied, which amounts to designing a stabilizing backstepping controller for a PIDE-ODE system. By transforming this system into a PDE-ODE cascade a systematic design procedure is presented. Then, robust output regulation is verified for non-destabilizing model uncertainties by means of the extended regulator equations. The results of the article are applied for the robust output regulation of a shear beam with a destabilizing boundary condition.

Authors with CRIS profile

Joachim Deutscher Chair of Automatic Control Simon Kerschbaum Chair of Automatic Control

How to cite

APA:

Deutscher, J., & Kerschbaum, S. (2016). Backstepping design of robust state feedback regulators for second order hyperbolic PIDEs. IFAC-PapersOnLine, 49(8), 80-85. https://dx.doi.org/10.1016/j.ifacol.2016.07.422

MLA:

Deutscher, Joachim, and Simon Kerschbaum. "Backstepping design of robust state feedback regulators for second order hyperbolic PIDEs." IFAC-PapersOnLine 49.8 (2016): 80-85.

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