%0 Journal Article
%T The Determination of Welghting Matrices in LQ Optimal Control Systems<br>LQ最优控制系统中加权阵的确定
%A Wang Yaoqing
%A <br>王耀青
%J 自动化学报
%D 1992
%I 
%X This paper is a study on the inverse problem of LQ optimal regulators. With the control weight given, the state weighting matrix satisfying the closed-loop eigenvalue requirements is parametrized in terms of a set of free variables. Based on the parametrization, an analytic procedure and a matrix transformation method are proposed to determine the state weighting matrix, as well as the free variables. As a result, by using the solved free variables, the optimal controller gain matrix can be determined without solving the algebraic Riccati matrix equation.
%K Optimal control
%K LQ inverse problem
%K weighting matrices<br>最优控制系统
%K LQ逆问题
%K 加权矩阵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=E6646199D3D1144750275053D53713FE&yid=F53A2717BDB04D52&vid=13553B2D12F347E8&iid=0B39A22176CE99FB&sid=527AEE9F3446633A&eid=F9F74EC1AA08A7B9&journal_id=0254-4156&journal_name=自动化学报&referenced_num=3&reference_num=0