Optimal control of stationary linear systems with polynomial performance index

被引：0
|
作者：
Górecki, H [1 ]
机构：
[1] Stanislaw Staszic Univ Min & Met, Inst Automat, PL-30059 Krakow, Poland
来源：
PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2002年 / 1-6卷
关键词：
optimal control; dynamic programming; polynomial performance index;
D O I：
10.1109/ACC.2002.1024850
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A stable stationary linear system is considered in the paper. A quality criterion is represented by a functional in the integral form of the sum of positive polynomial with respect to the state variables and squared control. It is proved that the optimal control is an irrational function or polynomial depending on the state variables. Minimum value of performance index can be in two forms: hyperelliptic integral or polynomial depending on the initial state.
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页码：471 / 475
页数：5
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