Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable...
Q4. (a) Reduce the block diagram shown in Figure Q4a to a single mathematical expression suitable for implementation in MATLAB. Each letter represents a transfer function in the s-domain. (10) G1 G2 G3 G4 G5 G6 Figure Q4a (b) Describe the process of generating the Nyquist plot. (c) Discuss how you would investigate the stability of a control system using the Nyquist plot and gain and phase margins of stability. (7) Q4 Total Marks [25] educe the block diagram shown...
Reduce the block diagram shown to a single transfer function, T(s) C(s)/R(s) Gl (s) G2(s) G3(s) G4(s) C(s) G6(s) G7(s)
Reduce the block diagram shown to a single block T(s)= C(s)/R(s). TICCll.. A ram shown in Figure P5.3 to a single block, T/s) = C(s)/R(s). [Section: 5.2] G8 C(s) R(S) + G6 G3 ure P5.4 to an equivalent unity-feedback system.
Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to a single transfer function T(s) =R) using the append and connect commands in MATLAB. pts b) Using Simulink simulate the transfer obtained in a) for a step input. c) Obtain the state-space representation of T(s). [10 [5 pts [10 pts] C(s) Ris 50 s+I 2 Figure 1 -Irt Question #2 ( 25 points) C(s) a) Reduce the block diagram shown in Figure 1 to...
[5.0 Marks] Simplify the block-diagram shown in Figure 1 and reduce it to a single simplified transfer function TF(s) = C(s)/R(s) using only the simplification 'rules discussed in the lectures. Show the simplified answer in steps. In addition, the correct final transfer function answer is required that includes two polynomials: one at the numerator and one at the denominator. s + 5 R(s) - C(s) L. s + 3 S 6 s + 2 s +1. Figure 1
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
solve quastion 3,4 and 5 B. Tasks and Guide 1. System description and Mathematical modeling The antenna positioning system is shown in Fig. 1. In this problem we consider the yaw angle control system, where 0(t) is the yaw angle. Suppose that the gain of the power amplifier is 5 , and that the gear ratio and the angle sensor (the shaft encoder and the data hold) are such that (t)= 0.40(t) where the units of v,(t) are volts and...