Open AccessStability analysis and performance improvement of uncertain linear systems with designing of a suitable reset law
Author(s) -
Ghaffari Valiollah,
Karimaghaee Paknosh,
Khayatian Alireza
Publication year - 2015
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.2015.0292
Subject(s) - reset (finance) , control theory (sociology) , controller (irrigation) , stability (learning theory) , linear system , linear matrix inequality , computer science , set (abstract data type) , control system , mathematics , mathematical optimization , law , control (management) , engineering , artificial intelligence , mathematical analysis , machine learning , political science , financial economics , economics , electrical engineering , agronomy , biology , programming language
In reset control systems, the reset law is a main characteristic of the reset controllers. In this study, a model prediction‐based framework is proposed to determine a suitable reset law for the uncertain linear control system. For achieving this goal, first a typical uncertain linear plant is considered and then the state space of the closed‐loop system, which consists of the uncertain plant and a linear controller, is formulated. The stability problem of such uncertain system is translated into a feasibility assessment of some linear matrix inequality sets and then based on the model prediction strategy a reset law is derived to minimise a quadratic cost function. When the system states enter into a reset set, according to the computed reset law, the controller states are reset. This method is applied to a typical distillation column to show the effectiveness of the proposed approach and is compared with non‐reset control system.