Noninteracting controls in linear multivariable systems

In linear multivariable control systems, a change in any input variable will usually result in changes in all output variables. It is useful for certain applications to obtain a system in which such interaction between controls does not occur. This paper uses previously derived matrix methods to synthesize a system with non-interacting controls by applying feedback around the given multivariable system. In addition to providing simple design equations for such systems, equations are also derived which give the input-output response and the disturbance response of the synthesized systems. It is shown that the matrix approach leads to a more simple and useful solution to the noninteraction problem than was the case in a previous approach to this problem.