Stabilization Over Power-Constrained Parallel Gaussian Channels

被引：27

作者：

Shu, Zhan ^{[1
]}

Middleton, Richard H. ^{[1
]}

机构：

[1] Natl Univ Ireland, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 07期

基金：

爱尔兰科学基金会;

关键词：

Channel capacity; H(2) control; networked control systems; parallel Gaussian channels; stabilization; transmitted power; NETWORKED CONTROL-SYSTEMS; LINEAR-SYSTEMS; FEEDBACK STABILIZATION; COMMUNICATION CHANNEL; SPECIAL-ISSUE; DATA RATES; STABILIZABILITY;

D O I：

10.1109/TAC.2011.2135270

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note is concerned with state-feedback stabilization of multi-input systems over parallel Gaussian channels subject to a total power constraint. Both continuous-time and discrete-time systems are treated under the framework of H(2) control, and necessary/sufficient conditions for stabilizability are established in terms of inequalities involving unstable plant poles, transmitted power, and noise variances. These results are further used to clarify the relationship between channel capacity and stabilizability. Compared to single-input systems, a range of technical issues arise. In particular, in the multi-input case, the optimal controller has a separation structure, and the lower bound on channel capacity for some discrete-time systems is unachievable by linear time-invariant (LTI) encoders/decoders.

引用

页码：1718 / 1724

页数：8

共 18 条

[1]

[Anonymous], 2006, Elements of Information Theory

[2] Special issue on networked control systems [J].

Antsaklis, P ;

Baillieul, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1421-1423

[3] Special issue on technology of networked control systems [J].

Antsaklis, Panos ;

Baillieul, John .

PROCEEDINGS OF THE IEEE, 2007, 95 (01) :5-8

[4] Feedback stabilization over signal-to-noise ratio constrained channels [J].

Braslavsky, Julio H. ;

Middleton, Richard H. ;

Freudenberg, James S. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1391-1403

[5] Quantized feedback stabilization of linear systems [J].

Brockett, RW ;

Liberzon, D .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) :1279-1289

[6] Stabilization and Disturbance Attenuation Over a Gaussian Communication Channel [J].

Freudenberg, James S. ;

Middleton, Richard H. ;

Solo, Victor .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (03) :795-799

[7]

Laub Alan J, 2005, MATRIX ANAL SCI ENG, V91, P2

[8]

Marshall Albert W, 1979, Inequalities: Theory of Majorization and its Applications, V143

[9] An analogue of Shannon information theory for detection and stabilization via noisy discrete communication channels [J].

Matveev, Alexey S. ;

Savkin, Andrey V. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (04) :1323-1367

[10] The problem of LQG optimal control via a limited capacity communication channel [J].

Matveev, AS ;

Savkin, AV .

SYSTEMS & CONTROL LETTERS, 2004, 53 (01) :51-64

← 1 2 →