Question

Reinforcement Problem # 4 (20 pts.) A) Given A state-space system is described: (39)+(7 933) (195) y = (0 - 1)(**) +(1) B) Determine Step 1: The block diagram representation with x1(0) = x2(0) = 0. Step 2: The transfer function Y(S)/F(s) through block diagram reduction. Step 3: The output value of y(t) due to input f(t) = u(t). Evaluation Criteria Rubric for Reinforcement Problem # 4 Gained Activities Step 1. Step 2. Step 3 Describe the techniques and procedures you used in each step. Square all the answers and include their physical dimensions, if apply. Points 4.0 points 7.0 points 7.0 points 1.0 points 1.0 points TOTAL 20.0 points

Answer 1

Barbie Giren (ai D- L I(:)+(5:34 1. g=10 -1)/21+(13f from the above, the state equations are Stepon seloomz +10of s a'z= 92,-20x2 +206 and y=-xqtf .. The block diagram is Hintegrath Llock COU 2-14 - - - - too -100 11en lazos -20 FIS step@?for The formula is yrs) - CS1-A)'B+D SIA 15:3-6-9) - List SI-AS Stro Psto -100 restro) Staostro -100 ) trostas SI-A = Adly GT-A) det (SIA) L 2 S thoston 2tosta theco s(stro)-(-2)100 9 10 -100 .Motor Co no YS) Strostro thos+00 ) 2. Strostro trostoo Los parties to the Je ocv os stroo strostrooL -200 205 ostroo strostroo J - 205-200 frostroo =-205*260 ts trostios Štrostroo

=) YC). Se + štos+roo stere given f(t)= ult) 4fc41) = tlucts) F1S)- .:- 4x)= $x80s) sx O štostwo strostwo - using partial fraction Expansion stlottos) (sho-lo) Yls) = S+10+10) S+10-10 = A = s xistietoja (stikloj) (stlo-lo; Is=-10-10) -10-oj -to-13+y6-jvā 0.5-10.5 A*= o.stjois (2A* is the Complex Conjugate of A) : Y9= 0.5-j0.5 + 0.stjo.s. stiotsio stoji Apply inceuse laplace Trausforme ellyn) = o.s-jois ? (stiot, 10 tlostjo.n)? totoon? =) yct)= (0.5-9005) elogio coustio) (co-jiost dya) = Cois-jous de tot slot Coustjo-selat glot ~) yet)= ase lot celiot slot) tjo se lotfellot slot) aya)= alot leiste tot] + i cijelo/ slot allok Ayet)= e lotta clot) -elot sinist - YE) = ēlot (cosciot) - Siniot) _