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Fractional Order Discrete State-space System Identification and Control
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| Author(s) |
A. Dzieliñski, D. Sierociuk |
| Abstract |
The paper is devoted to the application of Fractional
Calculus concepts to modeling, identification and control of
discrete-time systems. Fractional Difference Equations (FE)
models are presented and their use in identification, state
estimation and control context is discussed. The Fractional
Difference state space model is proposed for that purpose. For
such a model some stability issues are raised and simple stability
conditions are given. A Fractional Kalman Filter (FKF) for this
model is recalled. The proposed state-space model is used in an
identification procedure which produces a very accurate results.
Finally, the state-space models are used in state-feedback control.
The latter is also given in an adaptive form together with FKF as
a state estimator and a modification of Recursive Least Squares
(RLS) algorithm as a parameters identification procedure. All the
algorithms presented were tested in simulations and the example
results are given in the paper. |
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| Filename: | 242 |
| Filesize: | 138.8 KB |
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| Type |
Members Only |
| Date |
Last modified 2006-02-08 by System |
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