Question

Obtain the state model for the reduced-form model 2x + 6x + 12x = 10y(t). Use x; and.x, as the state variables. Put the equations in standard form and find [A] and [B] matrices. whereſ (1) and S(1) are the inputs, ii) Given the state-variable model *; = x; - 5x, +1,0 , = -30x, +10/20 and the output equations y = x; – X, +1,0) Y2 = x Y = -x; + f₂ (1) obtain the expressions for the matrices [A], [B], (C), and [D].

Answer 1

0 state variables x, X2 x = x i = = X2 2 ?, lo y(t) -63, -12% ex 2 2x B A 2-[i]-[ J}]+[]30) : - [8] = [: :]6+[i]40 A= [2 3]; B-[:] 6] [-]{}]+[%] ( ) A: [-]; B= [1] 1) Far it 6 ke fict) + OOO [ Y2 1 f216) - Y C = DE о о 0 1 -1