Finite-dimensional dual state feedback control of linear boundary control systems

Deutscher J (2013)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Book Volume: 86

Pages Range: 41-53

Journal Issue: 1

DOI: 10.1080/00207179.2012.717723

Abstract

In this article, the finite-dimensional control of distributed-parameter systems with boundary control and unbounded observation is considered. This problem is solved by extending the concept of dual observer-based compensators to infinite dimensions. These compensators have the advantage that, on the one hand, the separation principle can be used to directly determine a finite-dimensional compensator and, on the other hand they can be directly applied to boundary control systems with a time-derivative of the input. In order to achieve a low controller order as well as a desired control performance, a parametric approach is proposed to parameterise the degrees of freedom contained in the controller. Consequently, desired design specifications can be achieved by using a parameter optimisation. The proposed design of finite-dimensional dual observer-based compensators is demonstrated by means of a heat-conducting system with Neumann boundary control and boundary measurements. © 2013 Copyright Taylor and Francis Group, LLC.

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How to cite

APA:

Deutscher, J. (2013). Finite-dimensional dual state feedback control of linear boundary control systems. International Journal of Control, 86(1), 41-53. https://doi.org/10.1080/00207179.2012.717723

MLA:

Deutscher, Joachim. "Finite-dimensional dual state feedback control of linear boundary control systems." International Journal of Control 86.1 (2013): 41-53.

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