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
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.
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页码:565 / 618
页数:54
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