In Between the LQG/H2 - and H∞-Control Theories

被引：0

作者：

Kurdyukov, A. P. ^{[1
]}

Andrianova, O. G. ^{[1
,2
]}

Belov, A. A. ^{[1
]}

Gol'din, D. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow 117997, Russia

[2] Natl Res Univ Higher Sch Econ, Moscow 101000, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2021年 / 82卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

linear system; external disturbance rejection; robust control; robust filtering; robust stabilization; suboptimal control; optimal control; information theory; colored noise; robust stability; system with uncertainties; descriptor system; bounded real lemma; MINIMUM ENTROPY CONTROL; DISCRETE-TIME-SYSTEMS; ANISOTROPIC SUBOPTIMAL CONTROL; MIXED H-2/H-INFINITY CONTROL; OUTPUT-FEEDBACK CONTROL; RISK-SENSITIVE CONTROL; STATE-SPACE; MODEL-REDUCTION; LINEAR-SYSTEMS; ROBUST-CONTROL;

D O I：

10.1134/S0005117921040019

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 survey, we discuss various approaches to control theory that have arisen in the recent decades and reflect the desire to reach a trade-off between the LQG/H-2-control theory and the H-infinity-control theory. The theories of the kind include the theory of risk-sensitive controllers, the theory of suboptimal control with a constraint on the H-infinity-entropy functional, the mixed H-2/H-infinity-control theory, the minimax LQG-control theory, the anisotropy-based theory, and some others. The survey discusses in more detail the anisotropy-based control theory, which includes both the LQG/H-2- and the H-infinity-theory within a single statement of the problem.

引用

页码：565 / 618

页数：54

共 50 条

[41] THE MIXED H2 AND H-INFINITY CONTROL PROBLEM
STOORVOGEL, AA
TRENTELMAN, HL
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1992, 183 : 202 - 209
[42] Mixed H2/H∞ control for electromagnetic active suspension
Cao, Jianyong
Fan, Yu
Zhang, Yongchao
International Journal of Vehicle Autonomous Systems, 2014, 12 (02) : 93 - 115
[43] BACKWARD STOCHASTIC H2/H∞ CONTROL WITH RANDOM JUMPS
Zhang, Qixia
ASIAN JOURNAL OF CONTROL, 2014, 16 (04) : 1238 - 1244
[44] Mixed H2/H∞ control for linear singular systems
Ma, SP
Cheng, ZL
PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 283 - 287
[45] The research and application of H2/H∞ control theory in SVC
Sun, Yong
Liu, Ruiye
Zhang, Yu
Wu, Xiaodong
2008 THIRD INTERNATIONAL CONFERENCE ON ELECTRIC UTILITY DEREGULATION AND RESTRUCTURING AND POWER TECHNOLOGIES, VOLS 1-6, 2008, : 2192 - 2196
[46] A multiobjective approach for H2 and H∞ active suspension control
Takahashi, RHC
Camino, JF
Zampieri, DE
Peres, PLD
PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 48 - 52
[47] Mixed H2/H∞ control for uncertain descriptor systems
Piao, FX
Zhang, QL
Wang, ZD
ICIA 2004: Proceedings of 2004 International Conference on Information Acquisition, 2004, : 440 - 443
[48] Distributed H∞ and H2 consensus control in directed networks
Wang, Jingyao
Duan, Zhisheng
Li, Zhongkui
Wen, Guanghui
IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (03): : 193 - 201
[49] Sparsity-Constrained Mixed H2/H∞ Control
Lian, Feier
Chakrabortty, Aranya
Wu, Fen
Duel-Hallen, Alexandra
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 6253 - 6258
[50] Mixed H2 and H∞ optimal robust control design
Sparks, Andrew G.
Yeh, Hsi-Han
Banda, Siva S.
Optimal Control Applications and Methods, 1990, 11 (04) : 307 - 325

← 1 2 3 4 5 →