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

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter11: Nonlinear Programming

Section11.2: Introductory Concepts

Problem 11P

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