
#1
Nov912, 02:32 AM

P: 39

Hi all,
I found the following equations for the electric circuit shown Vc(t) =  1/(R2*C) * Vc(t) – 1/C * i(t) 1 Vt(t) = Vc(t) – R1*i(t)  2 I have the following questions 1.The first equation should be dVc(t)/dt = 1/(R2*C) * Vc(t) – 1/C * i(t) . Am I correct on this? 2.The discrete time equations are given in the documents as Vc,k+1 = exp(T/(R2*C)Vc,k – R2 * (1 – exp(T/R2*C)*ik  3 Vt,k = Vc,k – R1*ik;  4 I can understand the 4th equation, but I cannot understand the 3 equation, could someone guide me how to do this conversion from continuous to discrete. What is the “T” that is used? 3.Is this system linear? From little understanding I have, when an exponent is involved generally it is nonlinear. What is the methodology I should adopt to check whether a system is linear or nonlinear? thanks in advance, Regards 


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