A CONJUGATE GRADIENT METHOD FOR DISCRETE-TIME OUTPUT FEEDBACK CONTROL DESIGN

In this paper, the discrete-time static output feedback control design problem is con- sidered. A nonlinear conjugate gradient method is analyzed and studied for solving an unconstrained matrix optimization problem that results from this optimal control prob- lem. In addition, through certain parame...

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Bibliographic Details
Published inJournal of computational mathematics Vol. 30; no. 3; pp. 279 - 297
Main Author Mostafa, El-Sayed M.E.
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences 01.05.2012
Subjects
Algorithms
Conjugate gradient method
Control systems
Design engineering
Directional derivatives
Feedback control
Mathematical constants
Matrices
Objective functions
Steepest descent method
优化问题
反馈增益矩阵
数值测试
最优控制问题
离散时间
设计问题
输出反馈控制
非线性共轭梯度法
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Summary:In this paper, the discrete-time static output feedback control design problem is con- sidered. A nonlinear conjugate gradient method is analyzed and studied for solving an unconstrained matrix optimization problem that results from this optimal control prob- lem. In addition, through certain parametrization to the optimization problem an initial stabilizing static output feedback gain matrix is not required to start the conjugate gradi- ent method. Finally, the proposed algorithms are tested numerically through several test problems from the benchmark collection.
Bibliography:11-2126/O1
In this paper, the discrete-time static output feedback control design problem is con- sidered. A nonlinear conjugate gradient method is analyzed and studied for solving an unconstrained matrix optimization problem that results from this optimal control prob- lem. In addition, through certain parametrization to the optimization problem an initial stabilizing static output feedback gain matrix is not required to start the conjugate gradi- ent method. Finally, the proposed algorithms are tested numerically through several test problems from the benchmark collection.
Output feedback control, Nonlinear conjugate gradient methods, Nonlinearprogramming.
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1109-m3364