Abstract

An additional inner-feedback loop is used to reduce the channel interaction of a multivariable control system such that the design of outer-feedback loop can be treated as a single-variable problem for ease in achieving the required main-channel performance. The relative error between the exact input–output relation tii(jω) of channel i and its approximation t̂ii(jω) = {li(jω)fii(jω)}/{1 + li(jω)} is introduced to provide an effective measure for assessing the achieved noninteraction. According to the approach proposed, the single-input/single-output quantitative-feedback-theory design method can be applied directly for the design of both inner- and outer-feedback loops.

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