Past Issues

Studies in Informatics and Control
Vol. 28, No. 4, 2019

An Approach to Compute Low-Order H∞ Controllers

Iulia RĂDULESCU, Dan ȘTEFĂNOIU
Abstract

If H∞ control laws are built on high-order models, then reduced computational speed and memory problems are likely to arise. This article proposes an algorithm for computing H∞ controllers which is similar to the Matlab procedure hinfsyn.m, but of low order. The method consists in introducing dependencies between the differential equations of the controller by means of a rank minimisation problem. As a consequence, all differential equations of the controller are expressed as a linear combination of a smaller number of differential equations. Redundant states are then removed.

Keywords

H∞ control, Linear matrix inequalities, Rank minimization, Model order reduction.

View full article