Abstract
Inverting a state-space system A,B,C,D is a problem implying that the transmission zeros, of the system we want to invert, lie in the open left half plane. This is solved by finding an appropriate D matrix. We will show that finding D turns into a static output feedback problem, that can be addressed by solving a non-convex problem of rank minimization under LMI constrains. A numerical example will show the effectiveness of this approach.
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