H-infinity-norm minimisation and the stabilisation of systems with repetitive dynamics
Owens, D.H.; Rogers, E.; Owens, D.H., School of Engineering, University of Exeter; Rogers, E., Dept of Aeronautics and Astronautics, University of Southampton
Журнал:
Transactions of the Institute of Measurement & Control
Дата:
1992
Аннотация:
Multi-pass or repetitive systems are 2-D systems evolving with respect to one discrete and one discrete or continuous variable. Physically, they are systems involving repetitive action with interaction between successive passes through the system dynamics. The paper describes the stability theory for such processes and demonstrates the relationship between stability criteria and the H-infinity-norm of an appropriate transfer-function matrix (TFM). Based upon feedback control structures, the problem of stabilisation is formulated as an H-infinity-norm optimisation problem with solution having a natural interpretation in terms of robustness margins. The role of high-gain feedback and control structure in stabilisation is illustrated by a number of simple examples. The presentation aims to define problems to stimulate research in the area rather than to provide complete solutions.
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