A system of the form shown in Figure 12.1 has where 3 ? p ? 5,0 ? q ? 1, and 1 ? r ? 2. we will use a compensator with all real poles and zeros. Select an appropriate compensator to achieve robust

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# Order answer: A system of the form shown in Figure 12 1 has where

Computer Science, Software analysis and design

# Order answer: Consider the system in state variable form y 1 0

Consider the system in state variable form y = [1 0 0 0]x + [0)u. Design a full-state feedback gain matrix and an observer gain matrix to place the closed-loop system poles at $i2 – -1.4 ± / 1 . 4 , ^ – -2

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# Order answer: Consider the system y 1 0 x Determine if the

Consider the system y = [1 0]x Determine if the system is controllable and observable. Compute the transfer function from u to y.

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# Order answer: Find a gain matrix K so that the closed loop poles

Find a gain matrix K so that the closed-loop poles of the system y = [l -l]x are S1 = – 1 and s2 = -2 = -2. Use state feedback µ = -kx.

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# Order answer: The following model has been proposed to describe the motion

The following model has been proposed to describe the motion of a constant-velocity guided missile: y – [0 0 0 1 0]x. (a) Verify that the system is not controllable by analyzing the controllability matrix using the ctrb function. (b) Develop a controllable state variable

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# Order answer: Tire plant dynamics of a chemical process are represented by We

Tire plant dynamics of a chemical process are represented by We desire that the system have a small steady-state error for a ramp input so that Kv = 100. For stability purposes, we desire a gain margin of 10 dB or greater and a phase

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# Order answer: Two robots are shown cooperating with each other to manipulate

Two robots are shown cooperating with each other to manipulate a long shaft to insert it into the hole in the block resting on the table. Long part insertion is a good example of a task that can benefit from cooperative control. The unity feedback

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# Order answer: A unity feedback system has the process transfer function Design the

A unity feedback system has the process transfer function Design the controller Gc(s) such that the Bode magnitude plot of the loop transfer function L(s) = Gc(s)G(s) is greater than 20 dB for « < 0.01 rad/s and less than - 2 0 dB for

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# Order answer: Modern micro analytical systems used for polymerase chain reaction PCR

Modern micro analytical systems used for polymerase chain reaction (PCR) require fast, damped tracking response. The control of the temperature of the PCR reactor can be represented as shown. The controller is chosen to be PID controller, denoted by Gc(s), with a prefilter, denoted by

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# Order answer: The heading control of the traditional bi wing aircraft is represented

The heading control of the traditional bi-wing aircraft, is represented by the block diagram. (a) Determine the minimum value of the gain K when Gc{s) = K, so that the steady-state effect of a unit step disturbance Td(s) = 1/sis less than or equal to

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