线性定常系统镇定问题的输出反馈解  

OUTPUT FEEDBACK SOLUTION FOR THE PROBLEM OF STABILIZATION OF LINEAR TIME INVARING SYSTEM

作　　者：钱春[1] 

机构地区：[1]浙江大学土木系,杭州310027

出　　处：《自动化学报》1999年第6期828-832,共5页Acta Automatica Sinica

摘　　要：研究了通过Ｒｉｃｃａｔｉ方程中矩阵Ｄ 的选择，以实现由输出反馈ｕ＝ － Ｌｙ 来镇定系统的目的．关于上述问题ＯＦＳＬＱ 问题有解Ｄ，以使相应的Ｒｉｃｃａｔｉ方程存在正定解Ｐ，满足∑（Ａ－ ＢＢ′Ｐ）Ｃ－ ，且给出对某个Ｌ，有Ｂ′Ｐ＝ ＬＣ的充要条件．This paper is concerned with the problem of choosing matrix D in the Riccati equation so that the system can be stabilized by the output feedback u = -Ly. A necessary and sufficient condition for this question is obtained, namely, OFSLQ has a solution D such that ARE has the positive definite solution P satisfying  Σ(A-BB'P)C - , and for some, L, B'P=LC.

关 键 词：镇定 输出反馈 解 线性定常系统 控制论 

分 类 号：O231[理学—运筹学与控制论]