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3. Consider the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s 6.5)(s +20.5) (a) [6] Find the phase angle (degrees) and gain (in dB, Bode units) for the following frequencies (in rad/sec) rail Gp(ju) dB 0.1 21 56 b) [3 What is the gain crossover frequency for this system? (c) [8] Design a PD controller so that-0.3 ± 0.3] is a pole of the closed-loop system. 3. Consider the transfer function: ls0 (s...
Problem (1) X (s) (s Ha (s) C2 (s) Ci(s)H() 2 (s) 2rs) x,(s) H2(s)83 Design the controller C2(s), so that the closed-loop of the overall system behaves as a first order transfer function with time constant T2 Problem (1) X (s) (s Ha (s) C2 (s) Ci(s)H() 2 (s) 2rs) x,(s) H2(s)83 Design the controller C2(s), so that the closed-loop of the overall system behaves as a first order transfer function with time constant T2
Q8.5 For the following systems evaluate: GCL(s), where Y(s)-GCL(s)R(s) GE(s), where E(s)- GE(s)R(s) and Gd(s), where d(s) = Gd(s)R(s) d(s) Rfs) 8 dis) 2 s+1 R(s) E(s) In each case (a) and (b), what do you notice about the denominator and numerator of each transfer function?
16. Using the following information, calculate the sublimation of S(s) to S(g) Mg(s) S(s) MgS(s) AHo 343 kJ/mol Mg(s) Mg(g) Mg(g) Mg (g) 2e S(s)> S(g) 2e > S2(g) Mg2 (g) S2g) -> MgS(s) A) 279 kJ/mol B) 575 kJ/mol C) 1179 kJ/mol D) 965 kJ/mol E) 4651 kJ/mol AHo 148 kJ/mol 2+ AH° 2186 kJ/mol ΔΗ S(g) AHo 450 kJ/mol AHo3406 kJ/mol _
Example 3.3.1 A control system shown in following Figure G(s)=(s+1) C(s) N(s) E(s) G,(S) R(s) S G2(s) 100 G2(s)= s(s+10) H(s) H(s) 1 1. If n(t) 0, r(t)=5+2t+10t?, make e 0.1, k-? 2. If n(t)=t, r(t)=5+2t+10t2, k=1, e=? sS I ess0.1, k=?. Question14 A control system shown in following Figure, obtain the steady-state error transfer function E(s)/N(s). N(s) E(S) GS C(S) G.(S) R(s) H(s) Question12 Obtain both analytically and computationally the rise time, peak time, maximum overshoot, and settling time...
Hz(s) + R(s) Gi(s) G2(s) G3(s) G4(s) C(s) Hi(s) Consider the system described by the block diagram above. a. Find the transfer function of the system by reducing the diagram. b. Draw a signal-flow diagram for the given system. c. Using Mason's rule find the transfer function of the system. d. Compare your answers to part (a) and part (c). What do you notice? Explain.
E(s) In the figure below, find the transfer function G(s) = N(s) N(s) Y(s) 10 E(s) R(s) s+2 s(s + 1) 0.5s E(s) In the figure below, find the transfer function G(s) = N(s) N(s) Y(s) 10 E(s) R(s) s+2 s(s + 1) 0.5s
reactants oxidized reactants reduced reaction 8Ni(s) + S8(s) → 8NiS (s) Cr(s) + 12(s)-→ Cr12 (s) 22n (s) + O2 (g) → 2ZnO(s)
8.5 Consider a system with transfer function ĝ(s) = (s – 1)(s+2) (s + 1)(s – 2)(s +3) Is it possible to change the transfer function to S-1 8f(s) =_ (s + 2)(s +3) by state feedback? Is the resulting system BIBO stable? asymptotically stable?
16. Using the following information, calculate the sublimation of S(s) to S(g). Mg(s) + S(s) + MgS(s) AH° = -343 kJ/mol Mg(s) + Mg(g) AH° = 148 kJ/mol Mg(g) → Mg2+(g) + 2e AH° = 2186 kJ/mol S(s) + S(g) AH° = ? S(g) + 2e → S2-(g) AH° = 450 kJ/mol Mg2+(g) + SP-(g) + MgS(s) AH° = -3406 kJ/mol A) 279 kJ/mol B) 575 kJ/mol C) 1179 kJ/mol D) 965 kJ/mol E) 4651 kJ/mol