奇异控制正则化及刚度移置法

REGULARIZATION OF SINGULAR CONTROL AND STIFFNESS SHIFTING METHOD

摘要: 基于结构力学中子结构链与LQ离散时间控制的模拟关系^1，2，3，本文给出了代数里卡提方程的两种等价表达形式，利用其中的势能列式提出了刚度移置法．采用刚度移置法及适当的变换导出了奇异控制问题的里卡提方程．

Abstract: Based on the simulation relationship between LQ disercte time control and substructural chain instructural mechanics^1,2,3,this paper describes two equivalent formulations of algebraic Riccatiequation.The potential formulation is applied to develop the stiffness shifting method.By using thestiffness shifting method and proper transformations, the Riccati equation of singular control problem is derived.