Control For Energy and Sustainability

EPSRC Programme Grant

[HL10] A. J. Hazell and D. J. N. Limebeer, A Framework for Discrete-Time H2 Preview Control, ASME Journal of Dynamic Systems, Measurement and Control, 132,3, May, 2010


The purpose of this paper is to provide a set of synthesis and design tools for a wide class of H2 preview control systems. A generic preview design problem, which features both previewable and non-previewable disturbances, is embedded in a standard generalized regulator framework. Preview regulation is accomplished by a two-degree-of-freedom output-feedback controller. A number of theoretical issues are studied, including the efficient solution of the standard H2 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 analysed 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 H2-norm of the closed-loop system is analyzed in detail. Closed-loop norm reduction formulae 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 applications examples are introduced by reference.