Open AccessSwitching tracking control for linear time‐invariant systems without overshoot: a positive systems method
Author(s) -
Zhang Yaoli,
Zhao Jun
Publication year - 2019
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.2018.5237
Subject(s) - control theory (sociology) , overshoot (microwave communication) , linear system , lti system theory , invariant (physics) , controller (irrigation) , mathematics , tracking (education) , state (computer science) , computer science , control (management) , algorithm , artificial intelligence , psychology , mathematical analysis , telecommunications , pedagogy , mathematical physics , agronomy , biology
In this study, the authors study the issue of how to design controllers to asymptotically track a constant signal without overshoot for linear time‐invariant systems. Using the theory of positive systems, they obtain the non‐negative invariant set of the output for the autonomous systems. Then, a linear state feedback controller is designed to ensure the non‐overshooting tracking when the initial state is in some region. Furthermore, for a single‐input single‐output system, the problem of global non‐overshooting tracking control is solved by a switching control law. For multi‐input multi‐output systems, they also obtain the non‐overshooting response under some assumptions. A numerical example is given to illustrate the effectiveness of the proposed theory.