H2 for HIFOO

TL;DR

This paper extends the HIFOO Matlab package to include H2 performance criteria, enabling mixed H2/Hinfinity synthesis and providing implementation details along with extensive benchmark results.

Contribution

The paper introduces a novel extension of HIFOO to support H2 performance criteria, enhancing its capabilities for mixed H2/Hinfinity control synthesis.

Findings

Successful implementation of H2 extension in HIFOO

Extensive benchmark results demonstrating effectiveness

Enhanced capabilities for mixed H2/Hinfinity synthesis

Abstract

HIFOO is a public-domain Matlab package initially designed for Hinfinity fixed-order controller synthesis, using nonsmooth nonconvex optimization techniques. It was later on extended to multi-objective synthesis, including strong and simultaneous stabilization under Hinfinity constraints. In this paper we describe a further extension of HIFOO to H2 performance criteria, making it possible to address mixed H2/Hinfinity synthesis. We give implementation details and report our extensive benchmark results.