Matlab
6th Edition
ISBN: 9781119299257
Author: Amos Gilat
Publisher: WILEY CONS
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Chapter 9, Problem 37P
The sudden outbreak of an insect population can be modeled by the equation
The first term relates to the well-known logistic population growth model where N is the number of insects. R is an intrinsic growth rate, and C is the carrying capacity of the local environment. The second term represents the effects of bird predation. Its effect becomes significant when the population reaches a critical size Nc; r is the maximum value that the second term can reach at large values of N.
Solve the differential equation for
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DETERMINE
A. V1 if the 1000uF capacitor is not connected
B. V1 is the 1000uF capacitor is connected
C. Ripple voltage of problem B
D. V2 if 1000uF capacitor is not connected
E. V2 if 1000uF capacitor is connected
F. From problem C solve for Is, Il, and Ic
(OUR SUBJECT IS INDUSTRIAL ELECTRONIC)
In the figure, the steady state error is required to be 1% for the ramp entry r (t) = 0.1 h (t) input to the system.
a) Determine the type (N) number and K(OL) value of the open loop system.
b) Given the input and the desired maximum steady state error, what would be the smallest value of K?
c) What should Td be chosen in order to keep the system stable according to the selected K value?
Q1. For the system shown in Figure (1)
E.
CG)
RU)
K₁
D(0)
Figure (1)
Design the values of K, and K₂ to meet the following specifications: Steady-state error component due
to a unit step disturbance is 10% ; steady-state error component due to a unit step input is 20%.
D
G.
K₂
#+2
Chapter 9 Solutions
Matlab
Ch. 9 - Prob. 1PCh. 9 - Determine the solution of the equation 3...Ch. 9 - Determine the three roots of the equation...Ch. 9 - Determine the positive roots of the equation...Ch. 9 - The area Aof a circle segment is given by:...Ch. 9 - The position s of the slider as a function of in...Ch. 9 - The van der Waals equation gives a relationship...Ch. 9 - An estimate of the minimum velocity required for a...Ch. 9 - A series RLC circuit with an AC voltage source is...Ch. 9 - For fluid flow in a pipe, the Colebrook-White (or...
Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A flat rectangular sheet of metal that is 70 in....Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A prismatic box with equilateral triangular base...Ch. 9 - An RLC circuit with an alternating voltage source...Ch. 9 - A 108-in.-long beam AB is attached to the wall...Ch. 9 - Use MATLAB to calcute the following integrals: (a)...Ch. 9 - Use MATLAB to calculate the following integrals:...Ch. 9 - The speed of a race car during the first 7 s of a...Ch. 9 - A rubber band is stretched by fixing one end...Ch. 9 - Use numerical integration to approximate the size...Ch. 9 - The electric wire that connects the house to the...Ch. 9 - The flow rate Q (volume of fluid per second) in a...Ch. 9 - Prob. 24PCh. 9 - The variation of gravitational acceleration g with...Ch. 9 - An approximate map of Lake Erie is shown in the...Ch. 9 - To estimate the surface area and volume of a...Ch. 9 - Prob. 28PCh. 9 - The orbit of Mercury is elliptical in shape, with...Ch. 9 - Prob. 30PCh. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Prob. 33PCh. 9 - Use a MATLAB built-in funtion to numerically...Ch. 9 - The growth of a fish is often modeled by the von...Ch. 9 - A water tank shaped as a cone (R = 2 m, H = 4 m)...Ch. 9 - The sudden outbreak of an insect population can be...Ch. 9 - An airplane uses a parachute and other means of...Ch. 9 - The population growth of species with limited...Ch. 9 - An RL circuit includes a voltage source vs, a...Ch. 9 - Growth of many organisms can be modeled with the...Ch. 9 - The velocity, v, of an object that falls freely...
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