Hersh, M.A. and Zarrop, M.B. (1986) Stochastic adaptive control of non-minimum phase systems. Optimal Control Applications and Methods, 7(2), pp. 153-161. (doi: 10.1002/oca.4660070205)
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Abstract
The explicit self-tuning control of linear systems with constant but unknown parameters is analysed. The class of single-input/single-output, discrete-time stochastic systems with coloured noise is considered without imposing a minimum-phase condition. A stochastic approximation type of identification algorithm coupled with a general linear control law structure satisfying weak conditions is shown to lead to the required stability properties of the closed-loop system. Similar approaches have been previously proposed for deterministic systems and for stochastic systems with uncorrelated disturbances. The specific example of a pole-shifting algorithm is considered and it is shown that the required asymptotic behaviour is achieved under certain conditions.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Hersh, Dr Marion |
Authors: | Hersh, M.A., and Zarrop, M.B. |
College/School: | College of Science and Engineering > School of Engineering > Biomedical Engineering |
Journal Name: | Optimal Control Applications and Methods |
Publisher: | John Wiley & Sons Ltd. |
ISSN: | 0143-2087 |
ISSN (Online): | 1099-1514 |
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