Open AccessOn overshoot and integrators
Author(s) -
Zhu Bo
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0410
Subject(s) - control theory (sociology) , integrator , overshoot (microwave communication) , control engineering , computer science , engineering , artificial intelligence , control (management) , telecommunications , bandwidth (computing)
An extension of previous results concerning the effect of integrators on the closed‐loop response overshoot is presented. It is shown that if the open‐loop transfer function contains more integrators (i.e. [1/ s ]) than the Laplace transform of the reference signal, then the resulting output response must exhibit overshoot, assuming that a one degree‐of‐freedom control configuration is used. Several corollaries are also derived. The obtained results are applicable to minimum and non‐minimum phase linear systems, and also strictly proper and non‐strictly proper linear systems. A non‐overshooting output tracking controller is then proposed for linear chain of integrators, whose structure and performance are analysed.