Created June, 6th 2005 - Last modified february, 16 2012.

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RoMulOC
Robust Multi-Objective Control toolbox
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Software release
planning:
As the planning has never been respected, the dates are now removed.
The planning indicates the future expected steps that may be modified
depending on theoretical results and user reactions. Do not hesitate
to react.
Version 1 -
started in june 2005
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.
Version 2 -
started in february 2007 - last update in february 2012
The second
version of the package follows evolutions of analysis
results and includes new, less conservative or numerically more
efficient
methods. Today it includes design facilities for robust multi-objective
state-feedback. Coding LMI results for full order output-feedback
design is planned.
Version 3
In addition to
evolutions of the V1 and V2 functionalities, the third
version would include heuristic tools for solving
- static output-feedback
design problems.
Version ROMUALD :
the descriptor system version
A new version of
RoMulOC is currently developped. It extends all previously coded
analysis results to descriptor systems. The name of the toolbox is
changed to have a clear distinction. ROMUALD is RObust MUltiperformance
Analysis of Linear Descriptor systems. Among its features is that it
allows to generate sequences of LMIs with decreasing conservatism. It
improves analysis results of RoMulOC even for non-descriptor systems.
ROMUALD is currently being tested on industrial examples.