Report on the Department of Aerospace Engineering
Controller design checklist
Trimming and Linearization
Longitudinal controller design checklist
Pitch damper design
Pitch attitude hold controller design
Auto-throttle controller design (follow the Exam 3 solution)
Altitude hold controller design
Lateral controller design checklist
Yaw damper design
Aileron-rudder interconnect design
Bank angle hold controller design
Turn radius tracking controller design
1 – Trimming and Linearization
2. Pitch Damper Design
2. Pitch Damper Design
3. Pitch Attitude Hold Controller Design
3. Pitch Attitude Hold Controller Design
3. Pitch Attitude Hold Controller Design
3. Pitch Attitude Hold Controller Design
Final check: Find the poles of the closed loop pitch command transfer function
pole(Gcmdth)
These poles are showing you your system’s characteristics including the effect of both the pitch damper and the pitch attitude hold controller
Compare with the un-augmented system’s poles. You can get those using eig(Along44)
Just verify that the pitch damper and pitch hold controller you have designed have not made the phugoid and short period modes any worse compared to the un-augmented case
As far as we are concerned, moving left and away from axis is “better than before”
Don’t worry about the extra 5th pole. This happened because you implemented PI control, and the integral gain increases the order of the system by 1. Therefore, 5 poles instead of 4.
4. Auto-Throttle Controller Design
Altitude Hold Controller
6. Yaw Damper Design
6. Yaw Damper Design
7. Aileron-rudder interconnect (ARI) design
8. Bank angle hold controller design
8. Bank angle hold controller design
8. Bank angle hold controller design
8. Bank angle hold controller design
Final check: Find the poles of the closed loop bank command transfer function
pole(Gcmdph)
These poles are showing you your system’s characteristics including the effect of both the yaw damper and the bank angle hold controller
Compare with the un-augmented system’s poles. You can get those using eig(Alat44)
Just verify that the yaw damper and bank hold controller you have designed have not made the lateral modes any worse compared to the un-augmented case
Roll mode will likely move to the right. This is OK as long as it is still heavily damped
Spiral mode should become marginally stable due to yaw damper action
Don’t worry about the extra 5th pole. This happened because you implemented PI control, and the integral gain increases the order of the system by 1. Therefore, 5 poles instead of 4.
9. Turn Radius Tracking Controller
Flight and Wind Conditions to be Simulated
Flight condition
Velocity 40 m/s, Altitude 500 m, Radius 500 m, FPA = 0, Turn direction: anti-clockwise
Wind condition 1
Wind speed: 10 m/s
Wind direction: coming from the North
Updrafts: not present anywhere
Wind condition 2
Wind speed: 10 m/s
Wind direction: coming from the North
Updrafts: 3 m/s where y < 0, and zero elsewhere
Useful information
This is my Master script. This is the only script that Gaurav will run.
Trim in straight-line, linearize, and design all controllers. After designing all controllers, save as:
save('Controllers.mat','YawDamper','BankHold','PitchHold','AltHold','KARI','RadiusHold','AT’)
All necessary controller plots should appear. Then, clear the workspace.
How to Trim for a Left Turn