RoMulOC

RoMulOC toolbox

This toolbox is intended to gather multiple theoretical results obtained these past 10 years in Robust Control. The aim is to have some simple functions for manipulating uncertain systems and building LMI optimization problems related to robust multi-objective control problems. The goal is not a commercial product but a platform for academic cooperative exchanges and possible demonstrations for small size application examples.

Please do not hesitate to test RoMulOC and send feedback comments.

Functionalities

This package includes uncertain modeling facilities and associated robust analysis methods. The considered models are

affine polytopic (including parallelotopic and interval systems)

and LFTs (the uncertainty is modeled as a feedback on some nominal system). In this case the uncertain operator can be

{X,Y,Z}-dissipative (this formulation includes the norm-bounded and positive real cases)
polytopic (including special features for parallelotopic and interval formulations)
or any block-diagonal structure of such operators.

The analysis tools are Lyapunov based. They go beyond the quadratic stability framework and include several PDLF-based (parameter-dependent Lyapunov function) methods. Robustness is analyzed with respect to

stability (for continuous or discrete-time systems)

as well as to pole location, H infinity, H2 and impulse-to-peak performances.

The numerical framework is semi-definite programming (SDP). Thanks to the YALMIP parser all available SDP solvers can be used.

Future versions are intended to perform multi-objective control design. The goal is ultimately to solve problems such as schematically drawn on the figure.

License agreement

RoMulOC is entirely written in Matlab and uses YALMIP for parsing LMIs. As for YALMIP, RoMulOC is free of charge and openly distributed. Note that both tools are distributed in the hope that they will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose (if your satellite crash or you fail your PhD due to a bug in RoMulOC or YALMIP, your loss!). RoMulOC and YALMIP may not be re-distributed as a part of a commercial product (if you make money from YALMIP, let Yohan in first!). RoMulOC and YALMIP must be referenced when used in a published work (give us some credit for saving your valuable time!).

@manual{romuloc,
author = "D. Peaucelle",
title = "{RoMulOC} a YALMIP-MATLAB based Robust Multi Objective Control Toolbox}",
url = {http://www.laas.fr/OLOCEP/romuloc},
year = "2005"}

@InProceedings{romulocconf,
author = {Peaucelle, D. and Arzelier, D.},
title = "Robust Multi-Objective Control Toolbox",
booktitle = "Proceedings of the {CACSD} Conference",
year = "2006",
address = "Munich, Germany"}

@manual{yalmiphome,
author = "J. L{\"o}fberg",
title = "{YALMIP} : A Toolbox for Modeling and Optimization in {MATLAB}",
url = {http://control.ee.ethz.ch/$\sim$joloef/yalmip.php},
year = "2004"}

or/and

@InProceedings{yalmipconf,
author = "J. L{\"o}fberg",
title = "{YALMIP} : A Toolbox for Modeling and Optimization in {MATLAB}",
booktitle = "Proceedings of the {CACSD} Conference",
year = "2004",
address = "Taipei, Taiwan"}

RoMulOC toolbox

Functionalities

Authors

License agreement