A revisit to the gain and phase margins of linear quadratic regulators

被引：1

作者：

Holmberg, U ^{[1
]}

机构：

[1] Univ Newcastle, Dept Elect & Comp Engn, Newcastle, NSW 2308, Australia

[2] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2001年 / 46卷 / 09期

关键词：

D O I：

10.1109/9.948488

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 the above paper,(1) an example is given, showing that the LQ controller gives an arbitrary small gain margin with respect to variations of the open-loop plant. As a remedy, a dynamic-state feedback is proposed which is claimed to give an arbitrary large gain margin. This is incorrect. In fact, the proposed dynamic state feedback controller does not even stabilize the nominal system.

引用

页码：1508 / 1509

页数：2

共 50 条

[21] Role of uncertainty in stochastic linear quadratic regulators
Zhou, XY
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 1094 - 1099
[22] GENERALIZED ROBUSTNESS OF OPTIMALITY OF LINEAR QUADRATIC REGULATORS
SUGIMOTO, K
YAMAMOTO, Y
INTERNATIONAL JOURNAL OF CONTROL, 1990, 51 (03) : 521 - 533
[23] Probabilistic robust design with linear quadratic regulators
Polyak, BT
Tempo, R
SYSTEMS & CONTROL LETTERS, 2001, 43 (05) : 343 - 353
[24] Probabilistic robust design with linear quadratic regulators
Institute for Control Science, Russian Academy of Sciences, Profsojuznaja 65, Moscow 117806
不详
Systems and Control Letters, 2001, 43 (05): : 343 - 353
[25] DESIGN OF LINEAR QUADRATIC REGULATORS WITH ASSIGNED EIGENSTRUCTURE
EASTMAN, WL
BOSSI, JA
INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (04) : 731 - 742
[26] DESENSITIZING CONSTANT GAIN FEEDBACK LINEAR REGULATORS
FLEMING, PJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (05) : 933 - 936
[27] Performance Analysis of a Class of Linear Quadratic Regulators for Switched Linear Systems
Antunes, D.
Heemels, W. P. M. H.
2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 5475 - 5480
[28] Risk-Constrained Linear-Quadratic Regulators
Tsiamis, Anastasios
Kalogerias, Dionysios S.
Chamon, Luiz F. O.
Ribeiro, Alejandro
Pappas, George J.
2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 3040 - 3047
[29] Logarithmic Regret for Learning Linear Quadratic Regulators Efficiently
Cassel, Asaf
Cohen, Alon
Koren, Tomer
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 119, 2020, 119
[30] Decay rate estimations for linear quadratic optimal regulators
Estevez, Daniel
Yakubovich, Dmitry V.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (11) : 3332 - 3358

← 1 2 3 4 5 →