Q6. An electro-hydraulic actuator is used to position an aircraft control surface. The torque applied to the actuator, T, is controlled by a unity feedback control system as indicated in Figure Q.6. The resultant angular velocity of the surface is denoted by o, whilst the reference value is m. The transfer function of the controller is G(s). (a) Assuming a proportional gain controller is used, what value of gain K, will yield a steady-state error response of 1% to a unit step input? (b) To eliminate the steady-state error, an integral controller of gain K, is used. Determine the value of K; which will give an overall system damping of 0.707*- (c) A PID controller is then applied with the integral gain K, = 10. If the design specification is for a closed-loop damping factor of 0.7, calculate the necessary values of proportional and derivative gain if the system rise time to a unit step input is 0.5 seconds.

Q6. An electro-hydraulic actuator is used to position an aircraft control surface. The torque applied to the actuator, T, is controlled by a unity feedback control system as indicated in Figure Q.6. The resultant angular velocity of the surface is denoted by o, whilst the reference value is m. The transfer function of the controller is G(s). (a) Assuming a proportional gain controller is used, what value of gain K, will yield a steady-state error response of 1% to a unit step input? (b) To eliminate the steady-state error, an integral controller of gain K, is used. Determine the value of K; which will give an overall system damping of 0.707*- (c) A PID controller is then applied with the integral gain K, = 10. If the design specification is for a closed-loop damping factor of 0.7, calculate the necessary values of proportional and derivative gain if the system rise time to a unit step input is 0.5 seconds.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.3P

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