Open AccessUncertain DC-DC Zeta Converter Control in Convex Polytope Model Based on LMI Approach
Author(s) -
Hafez Sarkawi,
Yoshito Ohta
Publication year - 2018
Publication title -
international journal of power electronics and drive systems (ijpeds)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.322
H-Index - 21
ISSN - 2088-8694
DOI - 10.11591/ijpeds.v9.i2.pp829-838
Subject(s) - control theory (sociology) , linear matrix inequality , convex polytope , controller (irrigation) , mathematics , forward converter , boost converter , convex combination , polytope , convex optimization , voltage , computer science , regular polygon , mathematical optimization , convex analysis , combinatorics , engineering , control (management) , electrical engineering , geometry , artificial intelligence , agronomy , biology
A dc-dc zeta converter is a switch mode dc-dc converter that can either step-up or step-down dc input voltage. In order to regulate the dc output voltage, a control subsystem needs to be deployed for the dc-dc zeta converter. This paper presents the dc-dc zeta converter control. Unlike conventional dc-dc zeta converter control which produces a controller based on the nominal value model, we propose a convex polytope model of the dc-dc zeta converter which takes into account parameter uncertainty. A linear matrix inequality (LMI) is formulated based on the linear quadratic regulator (LQR) problem to find the state-feedback controller for the convex polytope model. Simulation results are presented to compare the control performance between the conventional LQR and the proposed LMI based controller on the dc-dc zeta converter. Furthermore, the reduction technique of the convex polytope is proposed and its effect is investigated.