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.
H∞ control, Linear matrix inequalities, Rank minimization, Model order reduction.
Iulia RĂDULESCU, Dan ȘTEFĂNOIU, "An Approach to Compute Low-Order H∞ Controllers", Studies in Informatics and Control, ISSN 1220-1766, vol. 28(4), pp. 413-420, 2019. https://doi.org/10.24846/v28i4y201905