Abstract
A non-interacting control of an r-input m-output multivariable control system via state variable feedback is considered. Since inputs of the control law correspond to reference inputs, a non-interacting control system is constructed by the control law with as many inputs as there are outputs of the plant. As a feedforward gain matrix of this control law is not square, this control law changes F-invariant properties. In this paper, sufficient conditions are derived for non-interaction by a control law with a rectangular feedforward gain matrix.
An easily computable criterion for non-interacting is derived. Two examples are given illustrating the result.
In a special case, the structure of the non-interacting system is shown.