A unified method for the design of nonovershooting linear multivariable state-feedback tracking controllers

Authors:
Robert Schmid;Lorenzo Ntogramatzidis
Affiliations:
Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010, Australia;Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6848, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Multivariable Feedback Design

Multivariable Feedback Design
Brief On the synthesis of controllers for continuous time LTI systems that achieve a non-negative impulse response

Automatica (Journal of IFAC)

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Abstract

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.