Multi-objective robust generalised H2 control

被引：1

作者：

Balandin, Dmitry V. ^{[1
]}

Kogan, Mark M. ^{[2
]}

机构：

[1] Lobachevsky State Univ Nizhny Novgorod, Inst Informat Technol Math & Mech, Ctr Math, Nizhnii Novgorod, Russia

[2] Architecture & Civil Engn State Univ, Dept Math, Ilyinskaya Str 65, Nizhnii Novgorod 603950, Russia

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2020年 / 51卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Multi-objective control problem; Pareto optimal set; robust control; norm-bounded structured uncertainty; generalised H2 norm; LMIs; active magnetic bearings; MIXED H-2/H-INFINITY CONTROL; MAGNETIC BEARING; OPTIMIZATION; SYSTEMS; DESIGN;

D O I：

10.1080/00207721.2020.1780512

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A novel multi-objective robust control problem is studied for systems with norm-bounded structured uncertainty and robust generalised H-2 norms as criteria. Necessary conditions for Pareto optimality are formulated from which it follows that Pareto optimal solutions are to be among optimal solutions for scalar multi-objective costs in the form of Germeyer convolution. The upper bounds of the multi-objective costs are used to compute Pareto suboptimal controllers in terms of linear matrix inequalities, while the lower bounds to estimate a 'difference' between Pareto suboptimal and unavailable Pareto optimal controllers. Two-criteria robust control problem for a mathematical model of the rotor rotating in active magnetic bearings is considered as an application of this theory.

引用

页码：1873 / 1882

页数：10

共 50 条

[21] Multi-objective integrated robust H ∞ control for attitude tracking of a flexible spacecraft
Wu, Shunan
Chu, Weimeng
Ma, Xue
Radice, Gianmarco
Wu, Zhigang
[J]. ACTA ASTRONAUTICA, 2018, 151 : 80 - 87
[22] Robust Multi-Objective H2/H∞ Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty
Mohseni, Naser Azim
Bayati, Navid
[J]. ENERGIES, 2022, 15 (15)
[23] Multi-objective H2/H∞-optimal control via finite dimensional Q-parameterization and its applications
Cao, Jun
Liu, Yaqiu
Sun, Liping
[J]. 2005 IEEE International Conference on Mechatronics and Automations, Vols 1-4, Conference Proceedings, 2005, : 1527 - 1532
[24] Robust multi objective H2/H∞ Control of nonlinear uncertain systems using multiple linear model and ANFIS
Azimi, Vahid
Akhlaghi, Peyman
Kazemi, Mohammad Hossein
[J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2641 - +
[25] On generalised convex multi-objective nonsmooth programming
Mishra, SK
Mukherjee, RN
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1996, 38 : 140 - 148
[26] Multi-objective H2/L2 performance controller synthesis for LPV systems
Xie, Wei
[J]. ASIAN JOURNAL OF CONTROL, 2012, 14 (05) : 1273 - 1281
[27] Multi-objective H2/L2 Performance Controller Synthesis for LPV systems
Xie, Wei
[J]. 2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 65 - 70
[28] Multi-objective Robust Control Considering Uncertainties for Damping Oscillations
Ma, Jing
Wang, Tong
Wang, Zengping
Thorp, James S.
[J]. 2012 ASIA-PACIFIC POWER AND ENERGY ENGINEERING CONFERENCE (APPEEC), 2012,
[29] Robust multi-objective optimal control of dynamic biological networks
Nimmegeers, Philippe
Telen, Dries
Beetens, Mickey
Logist, Filip
Van Impe, Jan
[J]. 26TH EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING (ESCAPE), PT A, 2016, 38A : 433 - 438
[30] A Robust Volt/Var Control Via Multi-Objective Optimization
Vitor, Tiago Soares
Vieira, Jose Carlos M.
[J]. 2018 13TH IEEE INTERNATIONAL CONFERENCE ON INDUSTRY APPLICATIONS (INDUSCON), 2018, : 672 - 678

← 1 2 3 4 5 →