Items tagged with linearization


I need a help on the error message below as when I enter it on my browser the answer is that there isn't any hel for this subject.

Error Message:

Error, (in DynamicSystems:-EquilibriumPoint) the independent variable in the equations does not match the 'continuoustimevar' (t) specified by the DynamicSystems[SystemOptions].

Thank you!

you write:

Dear all,

I have to differential equations that I'd like to linearise, that is all higher order (>1) derivatives (like diff(uu[0],x$2)) and parameters (like beta^2) and the products of any derivatives with the parameters uu[0] and beta are zero (as they are assumed small).

The two equations considered are displayed below:


Up to now, I perform a very tedious substitution which is based on looking at the equations above and decide which terms I want to get rid of. Something like this, where K =1:KFBCLin:=simplify(eval(KFBC, [beta^3 = 0, beta^2 = 0,
seq(subs((diff(uu[n], x$3)) = 0),n=0..K),
seq(subs((diff(uu[n], x$2)) = 0),n=0..K),
seq(subs((diff(uu[n], t))*beta = 0),n=0..K),
seq(subs((diff(uu[n], x))^2 = 0),n=0..K),
seq(subs(g*diff(beta, x)*beta = 0),n=0..K),
seq(subs((d^2*diff(uu[n], x,t)*diff(beta,x)=0)),n=0..K),
seq(subs(-2*d*diff(uu[n], x,t)*beta*diff(beta,x)=0),n=0..K),
seq(subs((d^2*diff(uu[n], x$2,t)*beta=0)),n=0..K),
seq(subs((diff(uu[n], x)*uu[n])=0),n=0..K),
seq(subs((diff(uu[n], x)*uu[n]*beta)=0),n=0..K),
seq(subs((diff(uu[n], x)*uu[n]*d)=0),n=0..K),
seq(subs((diff(beta, x)*uu[n])=0),n=0..K),
seq(subs((diff(uu[n], x)*beta)=0),n=0..K)]));As there is a lack of automatisation, this procedure is not very helpful. Life would be easier if there was a command (or the like) that says "get rid of higher order derivatives".Any help is appreciated.Best regards,

i have 6 non linear diff equation. for the quad copter i want to get its state space representation and its done in a master  but they didnot say how they did it ???

soo any one can help me?

Hello all,

I'll be straight-forward.

I have Maple 15+MapleSim 5. I don't have Control Design Toolbox. I want to embed a linearized system object as an msys file into MapleSim.

The Linearization template failed to create the file. I tried to use the codes in the template directly as code in Maple, but also failed. Seemingly because I don't have Control Design Toolbox in which the code need to load.

I have been googling around with no avail. I...

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