The purpose of this paper is to provide a set of synthesis and design tools for a wide class of preview control systems. A generic preview design problem, which features both previewable and nonpreviewable disturbances, is embedded in a standard generalized regulator framework. Preview regulation is accomplished by a two-degrees-of-freedom output-feedback controller. A number of theoretical issues are studied, including the efficient solution of the standard full-information Riccati equation and the efficient evaluation of the full-information preview gain matrices. The full-information problem is then extended to include the efficient implementation of the output-feedback controller. The synthesis of feedforward controllers with preview is analyzed as a special case—this problem is of interest to designers who wish to introduce preview as a separate part of a system design. The way in which preview reduces the -norm of the closed-loop system is analyzed in detail. Closed-loop norm reduction formulas provide a systematic way of establishing how much preview is required to solve a particular problem, and determine when extending the preview horizon will not produce worthwhile benefits. The paper concludes with a summary of the main features of preview control, as well as some controller design insights. New application examples are introduced by reference.
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e-mail: andrew_hazell@fmail.co.uk
e-mail: david.limebeer@eng.ox.ac.uk
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A Framework for Discrete-Time H2 Preview Control
A. J. Hazell,
A. J. Hazell
Department of Engineering Science,
e-mail: andrew_hazell@fmail.co.uk
University of Oxford
, Parks Road, Oxford OX1 3PJ, UK
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D. J. N. Limebeer
D. J. N. Limebeer
Department of Engineering Science,
e-mail: david.limebeer@eng.ox.ac.uk
University of Oxford
, Parks Road, Oxford OX1 3PJ, UK
Search for other works by this author on:
A. J. Hazell
Department of Engineering Science,
University of Oxford
, Parks Road, Oxford OX1 3PJ, UKe-mail: andrew_hazell@fmail.co.uk
D. J. N. Limebeer
Department of Engineering Science,
University of Oxford
, Parks Road, Oxford OX1 3PJ, UKe-mail: david.limebeer@eng.ox.ac.uk
J. Dyn. Sys., Meas., Control. May 2010, 132(3): 031005 (14 pages)
Published Online: April 21, 2010
Article history
Received:
August 22, 2007
Revised:
June 18, 2009
Online:
April 21, 2010
Published:
April 21, 2010
Citation
Hazell, A. J., and Limebeer, D. J. N. (April 21, 2010). "A Framework for Discrete-Time H2 Preview Control." ASME. J. Dyn. Sys., Meas., Control. May 2010; 132(3): 031005. https://doi.org/10.1115/1.4000810
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