The System Completion Problem: Theory and Computation

In several control design techniques such as multivariable proportional and integral control, linear quadratic Gaussian with loop transfer recovery, response shaping, etc., it becomes necessary to find pseudo inputs and/or outputs, such that the system with these modified input or output matrices has its transmission zeros at certain desired locations. In this paper, conditions for existence of such pseudo inputs and/or outputs are established. and computational algorithms for their computation are proposed.