Abstract
The paper studies the robust linear time-invariant servomechanism problem with non-unity feedback, using the transfer function set-up and the polynomial matrix factorization method. It is shown that in the scalar case, unity feedback is indeed not necessary for a robust solution with respect to "arbitrary" perturbations of both plant and loop stabilizer. In the multivariable problem however unity feedback becomes necessary when every mode of the signal to be tracked is present in each of its components and when there exists no sensor such that the loop is stabilizable by a stable loop-stabilizer.
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