EL ENG 16B Midterm: ee16B-sp2017-mt2-Arcak_Maharbiz-soln
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An answer without explanation is not acceptable and does not guarantee any credit: only the front pages will be scanned and graded. You can use the back pages as scratch paper: do not remove pages, as this disrupts the scanning. Instead, cross the parts that you don"t want us to grade. 2: (5 points) determine the stability of this system. 2. (15 points) consider the circuit below that consists of a capacitor, an inductor, and a third element with the nonlinear voltage-current characteristic: i = v + v3. vc. L i v: (5 points) write a state space model of the form dx1(t) dt dx2(t) dt. = f2(x1(t), x2(t)) using the states x1(t) = vc(t) and x2(t) = il(t). f1(x1, x2) = f2(x1, x2) = 4: (5 points) linearize the state model at the equilibrium x1 = x2 = 0 and specify the resulting a matrix. 5: (5 points) determine stability based on the linearization.
