This paper studies the problem of linear unsymmetrical constrained input systems. A new transformation for constrained input linear problem control is presented to deal with the asymmetry of the constraints. LMI form is selected by using the available results on symmetrical saturation. These results are obtained for the first time reducing considerably the conservatism of the results obtained with symmetrical saturations. A numerical example is given to illustrate the new results.
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Benhayoun et al. (2013) studied this question.