The design of nonovershooting and nonundershooting multivariable state feedback tracking controllers
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NOTICE: this is the author’s version of a work that was accepted for publication in System and Control Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in System and Control Letters, Vol. 61, No. 6 (2012). DOI: http://dx.doi.org/10.1016/j.sysconle.2012.02.015
We consider the use of linear multivariable feedback control to achieve a nonovershooting and nonundershooting step response. Recently, Schmid and Ntogramatzidis (2010)  introduced a linear state feedback controller design method to avoid overshoot. In this paper, we describe conditions under which the design method may be modified to avoid undershoot. The method is applicable to square and nonsquare systems, minimum and nonminimum phase systems, and also strictly proper and bi-proper systems.
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