摘要
研究奇异系统干扰解耦问题的几何刻画.研究了线性奇异系统{Ex=Ax+Bu+Sd,y=Cx,x(0)=x0的干扰解耦问题,给出了干扰解耦的一个充要条件.即证明了设x0属于Ti^*+T2^*的适当的仿射子空间.如果(a)T1^*∩KerE={0};(b)dim(ET2^*∩ImB)≤dim{u∈T2^*:Au∈ImB),则存在状态反馈u=-Fx,使上述奇异系统干扰解耦问题可解的充要条件是ImS包含于N^*+ImB.
The problem of achieving the disturbance rejection is studied in a linear time invariant singular system:
{Ex=Ax+Bu+Sd,y=Cx,x(0)=x0
A sufficient and necessary condition on disturbance decoupling is given. Let x0 in an affine subspace of T1^*+T2^*. If (a) T1^*∩KerE = {0};(b) dim(ET2^* ∩ ImB) ≤ dim{u ∈ T2^*:Au ∈ ImB}. Then the disturbance :ejection problem for singular above systems is solvable via state feedback if and only if ImS lohtain in N^*+ImB.
出处
《纺织高校基础科学学报》
CAS
2007年第3期274-276,285,共4页
Basic Sciences Journal of Textile Universities
关键词
奇异系统
干扰解耦
状态反馈
singular system
disturbance rejection
state feedback