On the Noninteracting Control of Linear Time-Variant Multivariable Systems

Abstract

In this paper, we show two results with respect to the noninteracting control problem in multivariable linear systems. In the first half, we show that the noninteracting control problem is a variational one. Necessary and sufficient conditions for the linear (time-variant and time-invariant) multivariable control system to be the noninteracting control system are shown with the aid of variational method used in the theory of invariance. In the second half, it is shown that it is possbile to obtain the noninteracting control system by state variable feedback. Sufficient conditions for the noninteracting control system to be constructed by state variable feedback are obtained by using the concept of relative orders.