Feedback stabilization: the algebraic view

被引：1

作者：

Szabo, Z. ^{[1
]}

Bokor, J. ^{[1
]}

机构：

[1] Inst Comp Sci & Control, Budapest, Hungary

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

controller parametrisation; controller blending; stability guarantee; CONTROLLERS;

D O I：

10.1016/j.ifacol.2020.12.375

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on an abstract algebraic setting we provide an elementary derivation of the Youla-Kucera parametrization of stabilizing controllers and also an alternative, coordinate free, approach of the problem. For this latter case, in contrast to the Youla-Kucera approach, the parameter set is not universal but its elements can be generated by a universal algorithm. We also emphasise the natural continuity property of this parametrization compared to the Youla-Kucera case. Extending the framework to the LFT loops we show by using elementary tools that every controller which stabilizes the interior loop of the generalized plant also stabilizes the LFT loop. Copyright (C) 2020 The Authors.

引用

页码：4421 / 4427

页数：7

共 50 条

[1] ALGEBRAIC GEOMETRIC ASPECTS OF FEEDBACK STABILIZATION
SHANKAR, S
SULE, VR
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (01) : 11 - 30
[2] An algebraic characterization of the static output feedback stabilization problem
Astolfi, A
Colaneri, P
[J]. PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 1408 - 1413
[3] OUTPUT-FEEDBACK STABILIZATION - SOLUTION BY ALGEBRAIC GEOMETRY METHODS
ANDERSON, BDO
SCOTT, RW
[J]. PROCEEDINGS OF THE IEEE, 1977, 65 (06) : 849 - 861
[4] On the Belgian Chocolate Problem and Output Feedback Stabilization: Efficacy of Algebraic Methods
Boston, Nigel
[J]. 2012 50TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), 2012, : 869 - 873
[5] Sufficient Lie Algebraic Conditions for Sampled-Data Feedback Stabilization
Theodosis, D.
Tsinias, J.
[J]. 2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 6490 - 6495
[6] Stabilization of differential-algebraic systems with Lipschitz nonlinearities via feedback decomposition
Di Franco, Pierluigi
Scarciotti, Giordano
Astolfi, Alessandro
[J]. 2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 1154 - 1158
[7] A unifying point of view on output feedback designs for global asymptotic stabilization
Andrieu, V.
Praly, L.
[J]. AUTOMATICA, 2009, 45 (08) : 1789 - 1798
[8] Stabilization of dynamic-algebraic Boolean control networks via state feedback control
Yang, Xingyue
Chen, Bingquan
Li, Yuanyuan
Liu, Yang
Alsaadi, Fuad E.
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (13): : 5520 - 5533
[9] Output Feedback Stabilization Control for a Class of Nonlinear Differential-Algebraic-Equation Subsystems
Zang Qiang
Zhou Ying
Zhang Kaifeng
Dai Xianzhong
[J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 962 - 967
[10] Feedback Stabilization of Switching Discrete-Time Systems via Lie-Algebraic Techniques
Haimovich, Hernan
Braslavsky, Julio H.
Felicioni, Flavia E.
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (05) : 1129 - 1135

← 1 2 3 4 5 →