how is using a minimum IAE tuning criterion different from using a minimum ISE tuning criterion?...
how is using a minimum IAE tuning criterion different from using a minimum ISE tuning criterion?
IAE = Integral Absolute Error
ISE = Integral Square Error
Homework Answers
If we want to suppress large erors it is better to use ISE
because squaring of large erors makes it even larger. Therefore it
is easier to identify and eliminate large erors using ISE. But when
the erors are small, squaring the erors makes it even smaller so
use of IAE is better in this case. 
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how is using a minimum IAE tuning criterion different from using
a minimum ISE tuning criterion?...
2. Design optimum PID Gain to obtain minimum tracking error (integration square error, ISE) Gain Ki 0.259 0 07s o Workp...
2. Design optimum PID Gain to obtain minimum tracking error (integration square error, ISE) Gain Ki 0.259 0 07s o Workpace Constant ransder Gain1 Integrator duldt Derivative Gain2 PID Controller To Workspace1 Bounded l3K, s60, PID Gains 1 K,s15, ISE Integrator1 ath Function Minimize IES(t)dt
2. Design optimum PID Gain to obtain minimum tracking error (integration square error, ISE) Gain Ki 0.259 0 07s o Workpace Constant ransder Gain1 Integrator duldt Derivative Gain2 PID Controller To Workspace1 Bounded l3K, s60,...
1. Approximate the following integral, exp(r) using the composite midpoint rule, composite trapez...
can i get some help with this ?
1. Approximate the following integral, exp(r) using the composite midpoint rule, composite trapezoid rule, and composite Simpeon's method. Each method should invol + l integrand evaluations, k 1: 20. On the same plot, graph the absolute error as a function of n. ve exactly n = 2k 2. Approximate the integral from Question 1 using integral, Matlab's built-in numerical integrator. What is the absolute error?
1. Approximate the following integral, exp(r) using...
matlab help plz Overview: In this exercise, you will write code to compare how two different mumerical methods (a mi...
matlab help plz
Overview: In this exercise, you will write code to compare how two different mumerical methods (a middle Riemann sum, and MATLAB's integral function) evaluate the function fx) and the x-axis. The code should output the error between the two calculated areas. area between a Function Inputs Func- the function to be numerically integrated. a-the lower interval value. b-the upper interval value. N-the number of rectangles to be used. Function Outputs: Area Riemann- the numerical approximation for the...
NAME A tuning fork vibrating at 512 Hz falls from rest and How far below the...
NAME A tuning fork vibrating at 512 Hz falls from rest and How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point? Assume the speed of sound is 343 m/s. as a result of gravity
A tuning fork vibrating at 512 Hz falls from rest and accelerates at 9.80 m/s2. How...
A tuning fork vibrating at 512 Hz falls from rest and accelerates at 9.80 m/s2. How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point?
3. A student measured Cl- in a sample using ISE and obtained the following results for Cl- in a sample from 10 repl...
3. A student measured Cl- in a sample using ISE and obtained the following results for Cl- in a sample from 10 replicates: Mean - 40.22 ppm standard deviation 3.12. The true value was 39.10. Is there a significant difference between the experimental value and true value? -1,-1)+ Sz4n2-11 n, the 5 .nswer one of the following two questions:
1. Using the Epsilon Criterion on a function with one discontinuity Consider the function g :...
1. Using the Epsilon Criterion on a function with one discontinuity Consider the function g : [0, 2] + R where g(1) = 5 and g(x) = 1 otherwise. a) Find a partition P of (0, 2) so that U(9, P) - L(9, P) < 1/10. b) Is there a partition of (0, 2) so that U(9,Q) - L(9,Q) < 1/600? If so, find one! c) Suppose e > 0. Construct a partition Pof (0, 2) so that U(g, P.)...
Mohr-Coulomb failure criterion: ?? = ? ′ + ???′ tan?′ Direct shear tests were conducted on...
Mohr-Coulomb failure criterion: ?? = ? ′ + ???′ tan?′ Direct shear tests were conducted on dry soil originally. Since water ingress in the soil would reduce the soil strength. If I repeat the direct shear tests using saturated soil, will the values of ??, c’ and ?′ be different from those obtained from the dry test? If yes, how and why?
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x)...
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x) dx. Then K(b - a) TEM 24n2 where K is the maximum number that the absolute value of IF"(x) achieves for asx<b. Use this inequality to find the minimum number, 17 of subintervals necessary to guarantee that the Midpoint Rule will approximate the integral dx to be accurate to within 0.001. 80 O 358 253 114
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
2. Design optimum PID Gain to obtain minimum tracking error (integration square error, ISE) Gain Ki 0.259 0 07s o Workpace Constant ransder Gain1 Integrator duldt Derivative Gain2 PID Controller To Workspace1 Bounded l3K, s60, PID Gains 1 K,s15, ISE Integrator1 ath Function Minimize IES(t)dt
2. Design optimum PID Gain to obtain minimum tracking error (integration square error, ISE) Gain Ki 0.259 0 07s o Workpace Constant ransder Gain1 Integrator duldt Derivative Gain2 PID Controller To Workspace1 Bounded l3K, s60,...
can i get some help with this ?
1. Approximate the following integral, exp(r) using the composite midpoint rule, composite trapezoid rule, and composite Simpeon's method. Each method should invol + l integrand evaluations, k 1: 20. On the same plot, graph the absolute error as a function of n. ve exactly n = 2k 2. Approximate the integral from Question 1 using integral, Matlab's built-in numerical integrator. What is the absolute error?
1. Approximate the following integral, exp(r) using...
matlab help plz
Overview: In this exercise, you will write code to compare how two different mumerical methods (a middle Riemann sum, and MATLAB's integral function) evaluate the function fx) and the x-axis. The code should output the error between the two calculated areas. area between a Function Inputs Func- the function to be numerically integrated. a-the lower interval value. b-the upper interval value. N-the number of rectangles to be used. Function Outputs: Area Riemann- the numerical approximation for the...
NAME A tuning fork vibrating at 512 Hz falls from rest and How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point? Assume the speed of sound is 343 m/s. as a result of gravity
3. A student measured Cl- in a sample using ISE and obtained the following results for Cl- in a sample from 10 replicates: Mean - 40.22 ppm standard deviation 3.12. The true value was 39.10. Is there a significant difference between the experimental value and true value? -1,-1)+ Sz4n2-11 n, the 5 .nswer one of the following two questions:
1. Using the Epsilon Criterion on a function with one discontinuity Consider the function g : [0, 2] + R where g(1) = 5 and g(x) = 1 otherwise. a) Find a partition P of (0, 2) so that U(9, P) - L(9, P) < 1/10. b) Is there a partition of (0, 2) so that U(9,Q) - L(9,Q) < 1/600? If so, find one! c) Suppose e > 0. Construct a partition Pof (0, 2) so that U(g, P.)...
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x) dx. Then K(b - a) TEM 24n2 where K is the maximum number that the absolute value of IF"(x) achieves for asx<b. Use this inequality to find the minimum number, 17 of subintervals necessary to guarantee that the Midpoint Rule will approximate the integral dx to be accurate to within 0.001. 80 O 358 253 114
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
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