Determine the transfer function of the plant. Use MATLAB to plot the root locus based on your choice of the plant, compare it with the root locus shown in Figure 10.61, and check the accuracy of your plant transfer function.

 

Figure 10.61 shows the root locus of a unity negative feedback control system, where is the proportional control gain.

a. Determine the transfer function of the plant. Use MATLAB to plot the root locus based on your choice of the plant, compare it with the root locus shown in Figure 10.61, and check the accuracy of your plant transfer function.

b. Give comments on the stability of the closed-loop system when varies from 0 to ∞.

c. Give comments on the transient performance of the closed-loop system when = 0.5 and 5. Use MATLAB to plot the corresponding unit-step responses and verify your comments.

find the cost of your paper

erive the differential equations in terms of the liquid heights h1 and h2.

  Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom….

Derive the differential equation relating the liquid height h and the volume flow rate qi at the inlet.

  Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is qi. The liquid leaves the tank through an orifice….

Derive the differential equations in terms of the liquid heights h1 and h2.

Figure 7.20 shows a hydraulic system of two interconnected tanks that have the same cross-sectional area of A. A pump is connected to tank 1. Assume that the relationship between the….