An Approach to Compute Low-Order H_∞ Controllers

Iulia RĂDULESCU^*, Dan ȘTEFĂNOIU
Faculty of Automatic Control and Computers, Politehnica University of Bucharest,
Splaiul Independenței 313, Bucharest, 060042, Romania
iulia.radulescu@acse.pub.ro (^*Corresponding author), dan.stefanoiu@acse.pub.ro

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.

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CITE THIS PAPER AS:
Iulia RĂDULESCU, Dan ŞTEFĂNOIU, 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