Pareto suboptimal robust controllers in multi-objective generalized H2 problem

被引：0
|
作者：
Balandin, Dmitry, V [1 ]
Biryukov, Ruslan S. [2 ]
Kogan, Mark M. [2 ]
机构：
[1] Lobachevsky State Univ Nizhny Novgorod, Inst Informat Technol Math & Mech, Nizhnii Novgorod 6039, Russia
[2] State Univ, Dept Math Architecture & Civil Engn, Ilyinskaya Str 65, Nizhnii Novgorod 603950, Russia
来源：
2018 26TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2018年
基金：
俄罗斯科学基金会;
关键词：
Multi-objective problem; Pareto optimal set; robust control; structured norm-bounded uncertainty; generalized H-2 norm; LMIs; active magnetic bearings; MULTIPLE CRITERIA; SYSTEMS;
D O I：
暂无
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 structured norm-bounded uncertainty and robust generalized H-2 norms as criteria. Necessary conditions for Pareto optimality are formulated. Pareto optimal solutions turn out to be among optimal solutions for multi-objective costs in the form of Germeyer convolution. Pareto suboptimal controllers are defined as the optimal solutions for the upper bounds of the multi-objective costs and characterized in terms of LMIs. The upper and lower bounds of the multi-objective cost are used to compute a suboptimality measure which allows 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
收藏
页码：481 / 486
页数：6
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