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From: "pietro " <bracardi82@email.it>
Newsgroups: comp.soft-sys.matlab
Subject: Re: transfer function in a time constant form
Date: Tue, 5 May 2009 13:33:01 +0000 (UTC)
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"Nasser Abbasi" <nma@12000.org> wrote in message <AVWLl.28621$yr3.5220@nlpi068.nbdc.sbc.com>...
> 
> "pietro " <bracardi82@email.it> wrote in message 
> news:gtpcaj$bk3$1@fred.mathworks.com...
> > Is there a command to convert a trasfer function in zero pole form to time 
> > constant form? Thanks in advance.
> 
> "time constant form" ?
> 
> You mean to get the equation of motion  from the tf?
> 
> something like this?
> 
> for example
> 
> EDU>> clear all
> z = -0.5;
> p = [0.1+i 0.1-i];
> k = 1;
> H = zpk(z,p,k);
> tf(H)
> 
> Transfer function:
>      s + 0.5
> ------------------
> s^2 - 0.2 s + 1.01
> 
> EDU>> syms s
> EDU>> ilaplace( (s + 0.5)/(s^2 - 0.2 *s + 1.01) )
> 
> ans =
> 
> exp(t/10)*(cos(t) + (3*sin(t))/5)
> 
> 
> --Nasser 
> 
In this links is shown the time constant form

https://www.informit.com/articles/article.aspx?p2090&seqNum=9