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

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