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Question: How to find a simple result from Linear Control Theory using Maple?

Question:How to find a simple result from Linear Control Theory using Maple?

emendes 445 Maple 2020
August 26 2020
1

Hello

I am trying to reproduce a simple result from Linear Control Theory using Laplace Transform.  Here are the steps:

assume(omega>0);assume(zeta>0 and zeta<1);
tf:=omega^2/(s^2+2*zeta*omega*s+omega^2);
y:=tf*1/s;
yt:=inttrans:-invlaplace(y,s,t);
dyt:=diff(yt,t);

So far, so good.  Now I need to find the values of t (time) such that the dyt=0.  

 

solve(dyt=0,t);

but Maple returns only the trivial solution, that is, zero.   How can I find the next one (Tp - peak time = Pi/(omega*sqrt(1-zetaˆ2)))?  

 

Many thanks

 
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