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State Space, Parameter Estimation

Hello,

 

I am a mechanical engineering student and not very familiar with Labview.

 

For my thesis I try to calculate "state matrix" (A), "input matrix" (B) and "output matrix" (C) of a MIMO system. I don't have the equation of the system but I have experimental values. For 2 different input values, I measured 2 different output values. Is it possible to calculate these matrices by using these values?

If yes, could you give me some tips to solve it please?

 

Thanks so much for your help.

 

Best Regards


 

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Hi,

 

Well if you know howyou want to do it mathematically, then we can figure out how to do it in LabVIEW. There Are serveral matrix opperations and ready to use VIs available.

Sounds like what you want to do is solving a linear equation system. The Math-toolkit for LabVIEW contains the Solve Linear Equations VI ( http://zone.ni.com/reference/en-XX/help/371361H-01/gmath/solve_linear_equations/ )
Solution Vector is the solution X to AX = Y where A is the Input Matrix and Y is the Known Vector.

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You need to obtain a license to the System Identification Toolkit. In general, if you are working for an university, this should be available for you.

 

http://sine.ni.com/nips/cds/view/p/lang/en/nid/209045

 

This toolkit converts the signals into linear State-Space Models that can be used to develop your controller later. In general, customers use the LabVIEW Control Design and Simulation Module to design and implement their controller in LabVIEW.

 

http://sine.ni.com/nips/cds/view/p/lang/en/nid/209850

 

and here you have more references:

 

http://zone.ni.com/devzone/cda/tut/p/id/11281

http://zone.ni.com/devzone/cda/tut/p/id/5855

Barp - Control, Simulation, RTT and HIL - National Instruments
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Hello,

I am P.G student.I am working on labview from few days. I am doing my project work in that software.

Actually I have not performed any work in this software before this project.

 I am also trying to find out values of matrices A,B,C and D.

I have simple equation of state space model but i have few doubts regarding those equations.

 

I am not getting the method to find out the matrices values.

I have searched for it a lot on internet and in labview too.

But i am not getting satisfactory answer.

 

Can you tell me how to calculate value of state transition matrix A,Input matrix B,Output matrix C and the last matrix D.

 

I ahve done few examples in vision assistant and in acquisition but i am very new to this control system problem.

 

I am hoping for positive reply.

 

Thank you in advance.

 

 

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