Controller Design for Robust Invariance From Noisy Data

被引：14

作者：

Bisoffi, Andrea ^{[1
]}

De Persis, Claudio ^{[1
]}

Tesi, Pietro ^{[2
]}

机构：

[1] Univ Groningen, ENTEG & JC Willems Ctr Syst & Control, NL-9747 AG Groningen, Netherlands

[2] Univ Florence, DINFO, I-50139 Florence, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 01期

关键词：

Control design; control system synthesis; data collection; data-driven control; linear feedback control systems; linear programming; linear systems; polyhedron; robustness; robust control; robust invariance; set invariance; state feedback; uncertain systems; FEEDBACK-CONTROL; SET INVARIANCE; SYSTEMS; STATE;

D O I：

10.1109/TAC.2022.3170373

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For an unknown linear system, starting from noisy input-state data collected during a finite-length experiment, we directly design a linear feedback controller that guarantees robust invariance of a given polyhedral set of the state in the presence of disturbances. The main result is a necessary and sufficient condition for the existence of such a controller, and amounts to the solution of a linear program. The benefits of large and rich datasets for the solution of the problem are discussed. We numerically illustrate the method on a simplified platoon of two vehicles.

引用

页码：636 / 643

页数：8

共 50 条

[21] Decentralized PI Controller Design for Robust Perfect Adaptation in Noisy Time-Delayed Genetic Regulatory Networks
Mohammad Mohammadian
Hazhar Sufi Karimi
Neural Processing Letters, 2023, 55 : 6815 - 6842
[22] Decentralized PI Controller Design for Robust Perfect Adaptation in Noisy Time-Delayed Genetic Regulatory Networks
Mohammadian, Mohammad
Karimi, Hazhar Sufi
NEURAL PROCESSING LETTERS, 2023, 55 (05) : 6815 - 6842
[23] Robust Handwriting Recognition with Limited and Noisy Data
Hai Pham
Setlur, Amrith
Dingliwal, Saket
Lin, Tzu-Hsiang
Poczos, Barnabas
Huang, Kang
Li, Zhuo
Lim, Jae
McCormack, Collin
Tam Vu
2020 17TH INTERNATIONAL CONFERENCE ON FRONTIERS IN HANDWRITING RECOGNITION (ICFHR 2020), 2020, : 301 - 306
[24] Robust Sparse Representation for Incomplete and Noisy Data
Shi, Jiarong
Zheng, Xiuyun
Yang, Wei
INFORMATION, 2015, 6 (03): : 287 - 299
[25] Robust H∞ controller design for sampled-data systems with parametric uncertainties
Liu Fuchun
Yao Yu
He Fenghua
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2009, 20 (02) : 371 - 378
[26] Robust sampled-data PI controller design for networked control systems
Santra, Srimanta
Sakthivel, R.
Anthoni, S. Marshal
Shi, Y.
Mathiyalagan, K.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (04): : 797 - 815
[27] Robust H∞ controller design for sampled-data systems with parametric uncertainties
Liu Fuchun1
2. Coll. of Automation Science and Engineering
Journal of Systems Engineering and Electronics, 2009, 20 (02) : 371 - 378
[28] Validated Discretization and Robust Controller Design for Nonlinear Sampled-Data Control
Oishi, Yasuaki
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 7280 - 7285
[29] A robust algorithm for automatic extraction of an unknown number of clusters from noisy data
Frigui, H
Krishnapuram, R
PATTERN RECOGNITION LETTERS, 1996, 17 (12) : 1223 - 1232
[30] Robust kernel regression for restoration and reconstruction of images from sparse noisy data
Takeda, Hiroyuki
Farsitt, Sina
Milanfar, Peyman
2006 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, ICIP 2006, PROCEEDINGS, 2006, : 1257 - +

← 1 2 3 4 5 →