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IMA Journal of Mathematical Control and Information 1984 1(2):147-171; doi:10.1093/imamci/1.2.147
© 1984 by Institute of Mathematics and its Applications
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Parametrization and Approximation Methods in Feedback Theory with Applications in High-gain, Fast-sampling, and Cheap-optimal Control

D. H. OWENS, A. CHOTAI and A. A. ABIRI

Department of Control Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD

Many high performance feedback control design problems can be parametrized by plant or control parameters such as sampling rates, controller gain, or control weighting in linear quadratic-optimal control. The paper describes a general input-output framework for a unified description of many such problems which permits the designer to use simple approximate plant models to achieve stabilization and desired performance characteristics from the real plant by off-line design based on the use of the approximate model. The analysis uses a judicious mix of asymptotic analysis and functional analytic methods and is applied to high-gain, fast-sampling, and cheap-optimal control based on first-order plant models.


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