Remarks on the time-varying H∞ Riccati equations

被引：14

作者：

Ichikawa, A ^{[1
]}

Katayama, H

机构：

[1] Shizuoka Univ, Dept Elect & Elect Engn, Hamamatsu, Shizuoka 4328561, Japan

[2] Osaka Electrocommun Univ, Dept Electromech Engn, Neyagawa, Osaka 5728530, Japan

来源：

SYSTEMS & CONTROL LETTERS | 1999年 / 37卷 / 05期

关键词：

H-infinity-control; continuous time; discrete time; time-varying; Riccati equations;

D O I：

10.1016/S0167-6911(99)00041-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we establish some useful properties of three Riccati equations appearing in the standard H-infinity-control problems for continuous and discrete-time time-varying systems. We then give necessary and sufficient conditions for the existence of a suboptimal controller by three conditions involving two independent Riccati equations with a coupling inequality. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：335 / 345

页数：11

共 15 条

[11] H-INFINITY CONTROL OF LINEAR TIME-VARYING SYSTEMS - A STATE-SPACE APPROACH [J].

RAVI, R ;

NAGPAL, KM ;

KHARGONEKAR, PP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (06) :1394-1413

[12] H∞ control of multirate sampled-data systems:: A state-space approach [J].

Sagfors, MF ;

Toivonen, HT ;

Lennartson, B .

AUTOMATICA, 1998, 34 (04) :415-428

[13]

STOORVOGEL A., 1992, HOO CONTROL PROBLEM

[14] H-INFINITY CONTROL AND FILTERING FOR SAMPLED-DATA SYSTEMS [J].

SUN, WQ ;

NAGPAL, KM ;

KHARGONEKAR, PP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (08) :1162-1175

[15] RELATIONSHIP BETWEEN 3 DISCRETE-TIME H-INFINITY ALGEBRAIC RICCATI EQUATION SOLUTIONS [J].

WALKER, DJ .

INTERNATIONAL JOURNAL OF CONTROL, 1990, 52 (04) :801-809

← 1 2 →