# linear system which is time independent

by gegitur
Tags: independent, linear, time
 P: 3 hi guys, can a time independent system model be controlled via a controller? I am assuming that we can obtain a solution for the model at each sample time, just assume that the model is of c= a*u type, i.e u is input which varing with the time. I am confsed....
 PF Patron Sci Advisor Thanks Emeritus P: 38,413 It would help if you would say what you mean by "controlled" and "a controller".
P: 3
 Quote by HallsofIvy It would help if you would say what you mean by "controlled" and "a controller".
let say, a an algebraic equation representing a boiler model, what you give is voltage and the output is temperature. Is it possible to control the temperature by just knowing its algebraic form of equation, which is not differential equation but its approximation to an algebraic form.

more clearly,

Q=m.c.delta(T) --> the equation in diff. form would be dQ/dT=m.c.dT/dt,

what I have is something like Q=m.c.delta(T),for this eq. the heater input for example, u, is varying with the time. (I am supposing that I have many many approximated formulas, not their differential forms and I cant have differential form of them)