CLOSED-FORM SOLUTIONS FOR A CLASS OF OPTIMAL QUADRATIC REGULATOR PROBLEMS WITH TERMINAL CONSTRAINTS

被引：10

作者：

JUANG, JN

TURNER, JD

CHUN, HM

机构：

[1] CAMBRIDGE RES DIV PHOTON RES, CAMBRIDGE, MA 02139 USA

[2] CHARLES STARK DRAPER LAB INC, CAMBRIDGE, MA 02139 USA

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 1986年 / 108卷 / 01期

关键词：

CONTROL SYSTEMS - Optimization;

D O I：

10.1115/1.3143741

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Closed-form solutions are derived for coupled Riccati-like matrix differential equations describing the solution of a class of optimal finite time quadratic regulator problems with terminal constraints. Analytical solutions are obtained for the feed-back gains and the closed-loop response trajectory. A computational procedure is presented which introduces new variables for efficient computation of the terminal control law. Two examples are given to illustrate the validity and usefulness of the theory.

引用

页码：44 / 48

页数：5

共 17 条

[1]

Armstrong E. S., 1980, ORACLS DESIGN SYSTEM

[2]

Brockett, 1970, FINITE DIMENSIONAL L

[3]

Bryson A.E, 1975, APPL OPTIMAL CONTROL

[4] DIRECT METHODS FOR SOLVING SYMMETRIC INDEFINITE SYSTEMS OF LINEAR EQUATIONS [J].