OPTIMUM H-INFINITY DESIGNS UNDER SAMPLED STATE MEASUREMENTS

被引：21

作者：

BASAR, T ^{[1
]}

机构：

[1] UNIV ILLINOIS,COORDINATED SCI LAB,URBANA,IL 61801

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 16卷 / 06期

关键词：

H-INFINITY-OPTIMAL CONTROL; SAMPLED MEASUREMENTS; RICCATI EQUATIONS; DIFFERENTIAL GAMES;

D O I：

10.1016/0167-6911(91)90112-R

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present the complete solution to the H-infinity-optimal control problem when only sampled values of the state are available. For linear time-varying systems the optimum controller is characterized in terms of the solution of a particular generalized Riccati-differential equation, with the optimum performance determined by the conjugate point conditions associated with a family of generalized Riccati differential equations. For the infinite-horizon time-invariant problem, however, the optimum controller is characterized in terms of the solution of a particular generalized algebraic Riccati equation, and the performance is determined in terms of the conjugate-point conditions of a single generalized Riccati equation, defined on the longest sampling interval. If the distribution of the sampling times is also taken as part of the general design, uniform sampling turns out to be optimal for the infinite horizon case, while for the finite horizon problem a nonuniform sampling generally leads to a better performance.

引用

页码：399 / 409

页数：11

共 17 条

[11]

Jacobson D. H., 1977, EXTENSIONS LINEAR QU

[12]

Kabamba P., 1990, Proceedings of the 1990 American Control Conference (IEEE Cat. No.90CH2896-9), P319

[13]

LEUNG GHM, 1990, THESIS U TORONTO CAN

[14]

LIMEBEER D, 1989, P INT S MATH THEORY