Laplace Transform of differential equations
3 visualizzazioni (ultimi 30 giorni)
Mostra commenti meno recenti
M Gokul
il 13 Mag 2016
Commentato: Star Strider
il 21 Mag 2016
i have a plant model with seven ODEs (cX)'=f(cX,cS,cP,Tr), (cP)'=f(cX,cS,cP), (cS)'=f(cX,cS,cP,Tr), (cO2)'=f(cX,cO2,Tr), d(Tr)'=f(Tr,Tag), d(Tag)'=f(Tr,Tag) where ' denote 1st order differential w.r.t time how do i convert to laplace domain so as to apply frequency analysis to do control design?
0 Commenti
Risposta accettata
Star Strider
il 14 Mag 2016
You would probably need at least the Symbolic Math Toolbox. I would need to see your actual functions (time-domain differential equations) to help you put them in a form that the Control systems Toolbox could use. The Symbolic Math Toolbox — at least the MuMath representation of it in the Symbolic Math Toolbox — is not always easy to work with. I have not delved into MuMath, so I have no idea what other capabilities it might have that the Symbolic Math Toolbox does not. My relatively straigtforward applications of it never caused problems.
Your differential equations must be linear and time-invariant with constant coefficients to be transformed into Laplace space to be used in transfer functions. If that is successful, The rest is a matter of coding. To the best of my knowledge, there are no straightforward methodS to transform Symbolic Math Laplace Transforms to the Control Systems Toolbox functions, so you must apply some ingenuity. There may be more efficient ways to do this; I‘ve not searched.
8 Commenti
Più risposte (0)
Vedere anche
Categorie
Scopri di più su Calculus in Help Center e File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!