MATLAB: An Introduction with Applications
5th Edition
ISBN: 9781118629864
Author: Amos Gilat
Publisher: WILEY
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Chapter 8, Problem 3P
To determine
The multiplication of two polynomials
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5. Sketch the root locus for L(s) =
s+10
using rules 1, 2, and 4. For rule 4, you need to
s(s+6)
find the break-in and break-away points.
S+4
4. Sketch the root locus for L(s) = (s+6) (s+1)2 using rules 1, 2, and 3. For rule 3, you
need to find the value of σ and a for the asymptotes.
From the root-locus, explain why the closed-loop system is always stable for any
choice of the design parameter K in the range 0 < K < ∞o.
Chapter 8 Solutions
MATLAB: An Introduction with Applications
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - 3. Use MATLAB to carry out the following...Ch. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - 8. The product of three integers with spacing of 5...Ch. 8 - 9. A rectangular steel container bas the outside...Ch. 8 - 10. An aluminum fuel tank has a cylindrical middle...
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Write a user-defined function that multiplies two...Ch. 8 - Write a user-defined function that calculates the...Ch. 8 - Prob. 16PCh. 8 - 17. Consider the parabola and the point P(3,...Ch. 8 - The following data is given: x 2 5 6 8 9 13 15 y 7...Ch. 8 - Prob. 19PCh. 8 - The U.S. population in selected years between 1815...Ch. 8 - Prob. 21PCh. 8 - 22. Growth data of a sunflower plant is given in...Ch. 8 - 23. Use the growth data from Problem 22 for the...Ch. 8 - 26. The following points are given: x 1 2.2 3.7...Ch. 8 - The standard air density. D (average of...Ch. 8 - Prob. 26PCh. 8 - Viscosity is a property of gases and fluids that...Ch. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - When rubber is stretched, its elongation is...Ch. 8 - Prob. 31PCh. 8 - The transmission of light through a transparent...Ch. 8 - Prob. 33P
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- 2. Consider the following system. K(s+3) (s+4) (s+1)(s+2) Check whether the points below are in the root locus. If the point is in the root locus, then also find what the corresponding gain K. i) ii) -2+j3 -2+1√ √ Hint: First find L(s). Next, in L(s) replace s with the value of the point and then express it in polar format r20 using calculator. The point will be in the root locus if and only if = 180° or odd multiple of 180°. When the point is in the root locus, the corresponding gain K is obtained as K ==arrow_forwardsolve and show workarrow_forwardDesign and find values. please solve ASAP (it's for practice before an exma, I don't have time)arrow_forward
- Can you show why the answer is that for this question using second order differential equations, instead of laplace transformsarrow_forward2. For each of the following transfer functions, G(s) = Y(s)/U(s), find the differential equation relating the input u(t) to the output y(t). (s+2)(s+3) (a) G(s) = (s+1)(s+4) (s²+0.4s+1.04) (s+3) (b) G(s)= (s2+0.2s+1)(s+2)(s+4)arrow_forwardDon't use ai to answer I will report you answerarrow_forward
- 5. A schematic diagram of a motor connected to a load by gears is shown. Both the motor and the load are modeled as rotating masses with viscous damping. Find the transfer functions Øm/Tm and ØL/Tm. bm Jm Tm 0m N₂ N₁ OL но JL b₁arrow_forward3. Find the transfer function X2/F of the mechanical system in Figure. Κι www b₁ M₁ K2 www M2 b2 X2 F b3arrow_forwardS1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Tsarrow_forward
- 1. For each of the following differential equations, determine the transfer function Y/U. Determine if the transfer function is proper or strictly proper. is not strictly proper, determine the strictly proper part. If it (a) y(3) = -3y(2) - 3y(1) — 2y + u(2) — - (b) y(3)=-3.5y(2) — 3.5y(1) — y +u(3) — 3.5u(2) + 3.5u(¹) + 3uarrow_forward.4. Find the transfer function Ø2/T of the mechanical system in Figure. TG K 02 b₁ b₂ b3arrow_forwardMatlab problem: 1) A BFSK signal is transmitted through a channel with AWGN. Generate similar BFSK received signal plots as shown below. (20 pts) BFSK for eb=1 and npower=0.01 with 500 samples BFSK for eb=1 and npower=0.1 with 500 samples 2.5 2.5 2 1.5 1 0.5 0 -0.5 -1 2 1.5 1 0.5 0.5 -1 -1.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 2 2.5 -1.5 -0.5 0 0.5 1 1.5 2 2.5arrow_forward
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