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T6 - 5 What type of controller would you use to make the...

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ME360 Winter 2011 Tutorial #6 5. PID controller design One of main control tasks of a helicopter shown in Fig. 1 is to control the pitch angle (angle of attack) of the blades (see Fig. 2). This particular part of the helicopter system can be represented by the simplified transfer function: ? ( ± ) = Θ ( ± ) ² ( ± ) = 10 ± 2 0.4 ± +0.2 1) What are the poles and zeros of the system? Is the system stable? 2) What is the natural frequency and damping ratio? 3) Plot the time response for the open loop system for a step input. 4) For a P (proportional) controller with a negative feedback, which gain makes the system stable?
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Unformatted text preview: 5) What type of controller would you use to make the system stable? Find the range of gains. 6) Design a controller so that it has no overshoot and rising time less than 1 second. Plot the step response. What is the steady state error? 7) What is the steady-state error? 8) Change gains to make the steady-state error 0.005. What happens to the overshoot and rise time? Fig. 1 The directions a helicopter can move in and the associated name of control Fig. 2 Pitch angle (angle of attach) of the blades Reference: http://www.rc-airplane-world.com/how-helicopters-fly.html...
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