UD-factored algorithms discrete-time optimal compensation

UD-factorization of algorithms for optimal output feedback control of stochastic parameter systems
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Aggiornato 13 set 2025

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U-D factored computation of optimal full and
reduced-order compensators (output-feedback controllers)
for linear discrete-time systems with white stochastic parameters
with possibly non-zero M,Y (cross term cost function & cross covariance)
Associated with the papers:
[1] L.G. Van Willigenburg, W.L. De Koning, 2016,
"Improvements and corrections concerning UD factorisations of
algorithms for optimal full and reduced-order output feedback"
Journal of Control Engineering and Technology, 6, 2, 14-18.
Download paper including the originals of [2], [3] below:
https://gvw007.yolasite.com/resources/JCET-2016-Total.pdf
[2] L.G. Van Willigenburg, W.L. De Koning, 2013,
"Minimal representation of matrix valued white stochastic processes
and U-D factorization of algorithms for optimal control",
International Journal of Control, 86, 2, 309-321.
Download improved version of the paper:
https://gvw007.yolasite.com/resources/IJC2013-EqRepUDCompU1.pdf
[3] L.G. Van Willigenburg, W.L. De Koning, 2014,
"U-D factorization of the strengthened discrete-time optimal
projection equations", International Journal of System Science,
https://dx.doi.org/10.1080/00207721.2014.911388
Download improved version of the paper:
https://gvw007.yolasite.com/resources/TSYS2014U.pdf

Cita come

Gerard Van Willigenburg (2025). UD-factored algorithms discrete-time optimal compensation (https://it.mathworks.com/matlabcentral/fileexchange/50103-ud-factored-algorithms-discrete-time-optimal-compensation), MATLAB Central File Exchange. Recuperato .

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Versione Pubblicato Note della release
1.5.0.1

Updated links

1.5.0.0

Version number 1.5 corrected
Links to papers updated

1.4.0.0

The updated version now handles correctly non-zero M,Y.
Originally the algorithms did not although the associated
papers suggested they did. All this is explained and resolved in [1].
Another update of the links to the papers

1.3.0.0

Links to papers mentioned in description updated

1.2.0.0

m-files have been extended with an error message if a cross term M is present in the quadratic cost function and if a cross covariance Y is specified between the system and measurement noise. U-D factorized algorithms cannot handle these.

1.1.0.0

Summary updated

1.0.0.0