Combined H∞/H2 controller design and optimal selection of sensors and actuators

被引：3

作者：

Singh, Taranjitsingh ^{[1
]}

De Mauri, Massimo ^{[1
]}

Decre, Wilm ^{[1
]}

Swevers, Jan ^{[1
]}

Pipeleers, Goele ^{[1
]}

机构：

[1] Katholieke Univ Leuven, MECO Res Team, Dept Mech Engn, DMMS Lab, Flanders Make Celestijnenlaan 300, B-3001 Leuven, Belgium

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 25期

关键词：

H-infinity/H-2; control; Mixed Boolean Semi-Definite Programming (MBSDP); Sensor and Actuator selection; Big-M reformulation;

D O I：

10.1016/j.ifacol.2018.11.084

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 paper presents a systematic framework to combine H-infinity/H-2 dynamic output feedback controller design and economic selection of sensors and actuators for continuous linear time-invariant multi-variate systems. This combined design is formulated as a Mixed Boolean Semi-Definite Programming (MBSDP) problem. Big-M reformulations are performed on the input and output matrices of the dynamic controller to yield column and row sparsity respectively. A numerical example is considered which illustrates the potential of the developed framework. The results obtained from this approach indicate a trade-off between the economic cost related to sensors and actuators and the closed-loop performance of the systems. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：73 / 77

页数：5

共 14 条

[1] [Anonymous], 1984, LINEAR NONLINEAR PRO
[2] Mixed H2/H∞-based actuator selection for uncertain polytopic systems with regional pole placement
Argha, Ahmadreza
Su, Steven W.
Savkin, Andrey
Celler, Branko G.
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (02) : 320 - 336
[3] Linear output feedback controller design with joint selection of sensors and actuators
de Oliveira, MC
Geromel, JC
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (12) : 2412 - 2419
[4] Dhingra NK, 2014, IEEE DECIS CONTR P, P4039, DOI 10.1109/CDC.2014.7040017
[5] Haemers M, 2017, IEEE INT C EMERG
[6] Optimal sensor/actuator placement for active vibration control using explicit solution of algebraic Riccati equation
Hiramoto, K
Doki, H
Obinata, G
[J]. JOURNAL OF SOUND AND VIBRATION, 2000, 229 (05) : 1057 - 1075
[7] Integrated Design of System Parameters, Control and Sensor/actuator Placement for Symmetric Mechanical Systems
Hiramoto, Kazuhiko
Mohammadpour, Javad
Grigoriadis, Karolos M.
[J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 2855 - 2860
[8] Lofberg J., 2004, 2004 IEEE International Symposium on Computer Aided Control Systems Design (IEEE Cat. No.04TH8770), P284, DOI 10.1109/CACSD.2004.1393890
[9] Mosek A, 2015, MOSEK OPTIMIZATION T, P17
[10] Multiobjective output-feedback control via LMI optimization
Scherer, C
Gahinet, P
Chilali, M
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (07) : 896 - 911

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