Synthesis of linear quadratic control laws on basis of linear matrix inequalities

被引:4
|
作者
Balandin, D. V. [1 ]
Kogan, M. M.
机构
[1] NI Lobachevskii State Univ, Nizhnii Novgorod, Russia
[2] Nizhni Novgorod State Univ Architecture & Civil E, Nizhnii Novgorod, Russia
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1134/S0005117907030010
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Classic problems of control law construction for a linear dynamic object that is optimal by the quadratic criterion in the determinate and stochastic cases are reduced, as is known, to solving nonlinear matrix Riccati equations. It is shown that the notion of H (2)-norm of a system transfer matrix makes it possible to formulate and solve the stated problems in terms of linear matrix inequalities.
引用
收藏
页码:371 / 385
页数:15
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