K2 K →X () На Figure 3: 3. (a) Find T(s) = xtransfer function by reducing...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
The open loop transfer function of a unity feedback system is 1. G(s)32 2s4 +5s3+s2 +2s Using Routh - Hurwitz criteria, (i) (ii) Determine the stability of the system. Find how many roots are lying in the left hand side and right hand side of the s-plane.
s G1 = G2 = S-8 G2 s2+1 G3= G4 = R(s) C(s) S G1 G3 G4 H1 H2 si 28+3 H1 H2 a) Find the characteristic equation by subtracting the transfer function (C (s) / R (s)) of the system, whose block diagram is given above. b) Determine the stability of the given system with Routh-Hurwitz stability analysis method.
$125.00, and r = 5%. Find the Black-Scholes formula for the option paying $10.00 in 3 months if S(T) S Ki or if S(T) 2 K2, and zero otherwise, in the 7. Let S(0) = $100.00, K = $92.00, K2 Black-Scholes continuous-time model. $125.00, and r = 5%. Find the Black-Scholes formula for the option paying $10.00 in 3 months if S(T) S Ki or if S(T) 2 K2, and zero otherwise, in the 7. Let S(0) = $100.00, K...
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane. In the figure below given is the block diagram...
A unity feedback system is shown in Fig. 1. The closed-loop transfer function ?(?) of this system is given as ?(?)=?1?4+2?3+(?2+1)?2+?2?+?1. a) (20%) Using Routh-Hurwitz criteria, find expression (in terms of ?1 and ?2) and range of value of ?1 and ?2 such that the above system is stable. b) (4%) It is desired to achieve steady-state error of less than 0.3 with a unit ramp input. Find an additional constrain in terms of ?1 and ?2 such that the...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
a) Develop the transfer function X:(s)/F(s) of the mechanical system shown in Figure 3(a). Give and explain one example the real application where you can relate with this system. (5 marks) b) Routh's stability criterion is of limited usefulness in linear control systems analysis mainly because it does not suggest how to stabilize an unstable system. Thus, we should evaluate the stability range of a parameter value. Consider the servo system with tachometer feedback as shown in Figure 3(b). Evaluate...
F(G) = list 62 Transfer function: F(s) = K, s + K2 with closed loop 54 + 5g3+ 45²-10s control system a) H(s) = + F(s) 5(5-1)(8+3+;)(5+3) Find the range of gains in the K, , Kz plane for which closed loop system is stable. And sketch the result. b With K,K, K₂=0.1K, sketch the root locus for system of part (a). Show topen loop poles and zeros, asymptotes of loci fork loci segments on real axis and imaginary axis...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...