Aircrafts are sometimes used to tow other vehicles. A roll control system is shown in figure 1. a. Determine the range of K that will sustain stability. b. Choose three values of K that will force the system to be stable, marginally stable, and not stable system. Evaluate the step response for each of these values. c. Find the value of gain, K, to yield a closed-loop step response with 18% overshoot. Evaluate the performance (time and frequency domain) of the system at this value of K. d. Design a compensator cascaded with the feedforward of the system to improve settling time, overshoot and steady-state error (unity ramp input) to at least by three folds. Commanded Actual Roll Angle Compensator Roll dynamics Roll Angle Actuator cs) K G1(s) G2(s) Figure 1: Towed-vehicle roll control 500 G;(s) s(s + 5) 100 G2(s) = s2 + 10s + 100

Aircrafts are sometimes used to tow other vehicles. A roll control system is shown in figure 1. a. Determine the range of K that will sustain stability. b. Choose three values of K that will force the system to be stable, marginally stable, and not stable system. Evaluate the step response for each of these values. c. Find the value of gain, K, to yield a closed-loop step response with 18% overshoot. Evaluate the performance (time and frequency domain) of the system at this value of K. d. Design a compensator cascaded with the feedforward of the system to improve settling time, overshoot and steady-state error (unity ramp input) to at least by three folds. Commanded Actual Roll Angle Compensator Roll dynamics Roll Angle Actuator cs) K G1(s) G2(s) Figure 1: Towed-vehicle roll control 500 G;(s) s(s + 5) 100 G2(s) = s2 + 10s + 100

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Aircrafts are sometimes used to tow other vehicles. A roll control system is shown in figure 1.
a. Determine the range of K that will sustain stability.
b. Choose three values of K that will force the system to be stable, marginally stable,
and not stable system. Evaluate the step response for each of these values.
c. Find the value of gain, K, to yield a closed-loop step response with 18% overshoot.
Evaluate the performance (time and frequency domain) of the system at this value
of K.
d. Design a compensator cascaded with the feedforward of the system to improve
settling time, overshoot and steady-state error (unity ramp input) to at least by
three folds.
Commanded
Actual
Roll Angle
Compensator
Actuator
Roll dynamics
Roll Angle
K
G1(s)
G2(s)
Figure 1: Towed-vehicle roll control
500
G;(s)
s(s + 5)
100
G2(s)
s2 + 10s + 100

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