Brief paper: H2 optimal ripple-free deadbeat controller design

Authors:
Mario E. Salgado;Diego A. Oyarzún;Eduardo I. Silva
Affiliations:
Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile;Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile;School of Electrical Engineering and Computer Science, University of Newcastle, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2007

Citing 4
Cited 1

Parametrization of all ripple-free deadbeat controllers

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Diophantine equations in control—a survey

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Technical communique: Optimal ripple-free deadbeat control using an integral of time squared error (ITSE) index

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Abstract

This paper deals with ripple-free deadbeat controller design for single-input/single-output sampled-data systems. Given a prescribed settling time, the design problem is tackled by computing a ripple-free deadbeat controller that optimizes an H"2 performance criterion. This criterion accounts for the quality of the tracking response and for the control energy necessary to achieve the deadbeat behavior. Our main result shows that the optimal performance improves as the settling time grows, revealing a fundamental tradeoff inherent to this control technique.