A unified method for the design of nonovershooting linear multivariable state-feedback tracking controllers
Robert Schmid, Lorenzo Ntogramatzidis
AUTOMATICA | PERGAMON-ELSEVIER SCIENCE LTD | Published : 2010
We consider the use of linear multivariable feedback control to achieve a nonovershooting step response. A method is given for designing a linear time invariant state feedback controller to asymptotically track a constant step reference with zero overshoot and arbitrarily small rise time, under some mild assumptions. We present a unified design method that can be applied to continuous and discrete time systems, square and non-square systems, minimum and nonminimum phase systems, and also strictly proper and nonstrictly proper systems. © 2009 Elsevier Ltd. All rights reserved.
This work was supported in part by The University of Melbourne (MRGS) and the Australian Research Council. The material in this paper was partially presented at 17th IFAC World Congress. July 2008, Seoul. This paper was recommended for publication in revised form by Associate Editor Didier Henrion under the direction of Editor Roberto Tempo.