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Volume 30, Issue 3
A Conjugate Gradient Method for Discrete-Time Output Feedback Control Design

El-Sayed M.E. Mostafa

DOI: 10.4208/jcm.1109-m3364

J. Comp. Math., 30 (2012), pp. 279-297.

Published online: 2012-06

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  • Abstract

In this paper, the discrete-time static output feedback control design problem is considered. A nonlinear conjugate gradient method is analyzed and studied for solving an unconstrained matrix optimization problem that results from this optimal control problem. In addition, through certain parametrization to the optimization problem an initial stabilizing static output feedback gain matrix is not required to start the conjugate gradient method. Finally, the proposed algorithms are tested numerically through several test problems from the benchmark collection.

  • Keywords

Output feedback control, Nonlinear conjugate gradient methods, Nonlinear programming.

  • AMS Subject Headings

49N35, 49N10, 93D52, 93D22, 65K05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-30-279, author = {El-Sayed M.E. Mostafa}, title = {A Conjugate Gradient Method for Discrete-Time Output Feedback Control Design}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {3}, pages = {279--297}, abstract = {

In this paper, the discrete-time static output feedback control design problem is considered. A nonlinear conjugate gradient method is analyzed and studied for solving an unconstrained matrix optimization problem that results from this optimal control problem. In addition, through certain parametrization to the optimization problem an initial stabilizing static output feedback gain matrix is not required to start the conjugate gradient method. Finally, the proposed algorithms are tested numerically through several test problems from the benchmark collection.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1109-m3364}, url = {http://global-sci.org/intro/article_detail/jcm/8430.html} }
TY - JOUR T1 - A Conjugate Gradient Method for Discrete-Time Output Feedback Control Design AU - El-Sayed M.E. Mostafa JO - Journal of Computational Mathematics VL - 3 SP - 279 EP - 297 PY - 2012 DA - 2012/06 SN - 30 DO - http://doi.org/10.4208/jcm.1109-m3364 UR - https://global-sci.org/intro/article_detail/jcm/8430.html KW - Output feedback control, Nonlinear conjugate gradient methods, Nonlinear programming. AB -

In this paper, the discrete-time static output feedback control design problem is considered. A nonlinear conjugate gradient method is analyzed and studied for solving an unconstrained matrix optimization problem that results from this optimal control problem. In addition, through certain parametrization to the optimization problem an initial stabilizing static output feedback gain matrix is not required to start the conjugate gradient method. Finally, the proposed algorithms are tested numerically through several test problems from the benchmark collection.

El-Sayed M.E. Mostafa. (2012). A Conjugate Gradient Method for Discrete-Time Output Feedback Control Design. Journal of Computational Mathematics. 30 (3). 279-297. doi:10.4208/jcm.1109-m3364
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