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Descriptor and LPV Systems Calculation Tool Kit

This work present a serie of functions to analize state-space and LPV descriptor systems
(4923 downloads for this version - 6731 downloads for all versions)
Details
Version
0.9.1
Authors
Francisco-Ronay Lopez-Estrada
C. M. Astorga Zaragoza
Didier THEILLIOL
Jean C. PONSART
Owner Organization
CENIDET (Mexico) and CRAN (France)
Maintainer
Francisco-Ronay Lopez-estrada
License
Creation Date
October 2, 2012
Source created on
Scilab 5.4.x
Binaries available on
Scilab 5.4.x:
Windows 64-bit Windows 32-bit Linux 64-bit Linux 32-bit MacOSX
Scilab 5.5.x:
Windows 64-bit Windows 32-bit Linux 64-bit Linux 32-bit MacOSX
Install command
--> atomsInstall("DeCaToKi")
Description
            The work discusses the development of a MATLAB/SCILAB toolbox for
systems modeled in the LTI or LPV descriptor framework. The properties of
regularity, solvability, controllability and observability  are presented.   
Full and reduced order,
 proportional and proportional-integral observers  are included. Some of these
observers consider unknown inputs. 
The main contribution  is  provide a toolbox  than can be 
used as auxiliary in state-estimation and fault detection based observers. 
These observers have been   considered  from   few papers published recently. 
The  fault detection and isolation can be achieved by the construction of bank
of observers. These banks of observers can be built by the selection of the
input/output matrices or automatically by using the proposed algorithms.

This functions are showed in the next table.



 dss2tf----- Descriptor system state space to transfer function
 dcontr----- computes C, R and I controllability
 dobsv------ computes C, R and I observability matrices
 dstabil-----Computes the stability 
 qrrse-------Computes the QR restricted system equivalence (r.s.e.) 
 invrse-------computes the inverse r.s.e form

There contain some observers for   state estimation. This observers are based
principally in the works of  (Darouach1995s, Darouach1996, Hamdi2009, Hamdi2011)
 

abcdcoeff---- a,b,c and <d coefficients for Darouach observer
darobsv95---- Full order observer  
redobsv95---- Reduced order observer 
darobsv96---- Reduced order observer with unknown input 
puiobsv------ Proportional unknown input observer (PUIO)
piuiobsv----- Proportional-integral unknown input observer (PIUIO)


For fault detection applications the following commands compute automatically
the gains to generate a bank of observers. This bank of observers
are based in a proportional  and a proportional-integral unknown input observer
(PUIO and PIUIO).

 gosbank1--- For a generalized observer scheme (GOS)  with some of the observers
mentioned

dosbank2-----For a dedicated observer scheme (DOS)  with some of the observers
mentioned.

The put the observer in a stability region   the LMI  are solved with the
LMITOOL of Scilab.

And finally for analysis, state estimation and fault detection of  LPVD system:

lpvpuiobsv---- LPVD Proportional unknown input observer 
lpvpiuiobsv--- LPVD Proportional-integral unknown input observer 
lpvweig4------ For  the construction  weighting functions of  4 vertices. 
lpvweig3------ For  the construction  weighting functions of  3 vertices.
lpvweig2------ For  the construction  weighting functions of  2 vertices. 
lpvgosbank1---- For create a bank of oservers using a generalized observer
scheme (GOS)

For more information consult the help files and the attached paper

COMMENTS AND CONTRIBUTIONS ARE WELCOME            
Files (3)
[1.50 MB]
Source code archive
Some small bugss were fixed, specially the help files were re-compiled
[645.27 kB]
OS-independent binary for Scilab 5.4.x
Binary version
Automatically generated by the ATOMS compilation chain

[622.22 kB]
OS-independent binary for Scilab 5.5.x
Binary version (all platforms)
Automatically generated by the ATOMS compilation chain

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