Decoupling of Multivariable Systems by Output Feedback

Abstract

In this paper, we treat a problem of decoupling a linear, time-invariant multivariable system into single input-multioutput subsystems by means of an output feedback. Necessary and sufficient conditions are derived in the frequency domain. The conditions suggest a new method for constructing a constant feedback matrix, some of whose elements can be freely chosen to reassign closed-loop poles of the decoupled systems. Further, some properties of the feedback matrix are also analyzed.