Necessary and sufficient conditions for robust stability of DMC

The single-input/single-output dynamic matrix control (DMC) algorithm based on finite impulse response (FIR) model was studied. The model errors were respectively described by the upper and lower bounds and error square sum of impulse response coefficients. The robust stability criteria for DMC algorithms were proposed in the form of linear matrix inequality. These criteria can assure the closed-loop systems to be asymptotically stable, when the coefficients of characteristic polynomial do not satisfy Jury´s dominant coefficient lemma.