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The sequential return difference method is applied to design a digital controller for a multivariable digital system. Although the open loop system is unstable it is shown that a controller which provides good transient behaviour and low interaction may be designed by the appropriate sequence of single-loop designs.

In this paper a method for designing dynamic compensators which reduce open loop interaction in a multivariable system is presented. An integral measure of interaction in the frequency domain is minimized to produce possibly dynamic compensators for either the system transfer function or its inverse. The technique is applicable to unstable systems, systems with time delays and, via a class of weighting functions can be used to obtain emphasised interaction reduction in particular frequency ranges. In addition, a feedback configuration aimed at lowering interaction is shown to give rise to a problem functionally equivalent to the above. An example designed interactively by computer is included to illustrate the effectiveness of the procedure.

In this paper a method for designing dynamic compensators which reduce open loop interaction in a multivariable system is presented. An integral measure of interaction in the frequency domain is minimized to produce possibly dynamic compensators for either the system transfer function or its inverse. The technique is applicable to unstable systems, systems with time delays and, via a class of weighting functions can be used to obtain emphasised interaction reduction in particular frequency ranges. In addition, a feedback configuration aimed at lowering interaction is shown to give rise to a problem functionally equivalent to the above. An example designed interactively by computer is included to illustrate the effectiveness of the procedure.

The sequential return difference method is applied to the design of a digital controller for a multivariable digital system. Although the open loop system is unstable, it is shown that a controller which provides good transient behaviour and low interaction may be designed by the appropriate sequence of single-loop, digital, root-locus designs.