Feedback Solutions of Optimal Control Problems with DAE Constraints

被引:0
|
作者
Kurina, Galina A. [1 ]
Maerz, Roswitha [2 ]
机构
[1] Voronezh State Forestry Acad, Chair Math, Ul Timirjazeva 8, Voronezh 394613, Russia
[2] Humboldt Univ, Dept Math, D-10099 Berlin, Germany
关键词
D O I
10.1109/CDC.2008.4739500
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An optimal feedback control has been obtained for linear-quadratic optimal control problems with constraints described by differential-algebraic equations (DAEs). For that purpose, a new implicit Riccati equation (Riccati differential-algebraic system) is provided, and its solvability is investigated. It is shown that one can do without the strong consistency conditions as used in several previous papers. Furthermore, the solvability of the resulting closed loop system is considered and the relations between Riccati equations and Hamiltonian systems are elucidated.
引用
收藏
页码:280 / 285
页数:6
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