The block diagram of an autopilot designed to maintain the pitch attitude of an aircraft is shown in Fig. 3.64. The transfer function relating the elevator angle de and the pitch attitude is 0(s) δε (3) G(s) 50(8+1)(8+2) (825840) (s² + 0.03s + 0.06)' where is the pitch attitude in degrees and de is the elevator angle in 0 degrees. The autopilot controller uses the pitch attitude error e to adjust the elevator according to the transfer function de(8) e(s) = De(s) = K(s+3) 8 + 10 Using MATLAB, find a value of K that will provide an overshoot of less than 10% and a rise time faster than 0.5 sec for a unit-step change in 0. After examining the step response of the system for various values of K, 2A A Amplitude 0 A Time Control Aircraft 8 Ꮎ Σ De(s) G(s) Figure 3.64: Block diagram of autopilot for Problem 3.50 comment on the difficulty associated with making rise-time and overshoot measurements for complicated systems.

The block diagram of an autopilot designed to maintain the pitch attitude of an aircraft is shown in Fig. 3.64. The transfer function relating the elevator angle de and the pitch attitude is 0(s) δε (3) G(s) 50(8+1)(8+2) (825840) (s² + 0.03s + 0.06)' where is the pitch attitude in degrees and de is the elevator angle in 0 degrees. The autopilot controller uses the pitch attitude error e to adjust the elevator according to the transfer function de(8) e(s) = De(s) = K(s+3) 8 + 10 Using MATLAB, find a value of K that will provide an overshoot of less than 10% and a rise time faster than 0.5 sec for a unit-step change in 0. After examining the step response of the system for various values of K, 2A A Amplitude 0 A Time Control Aircraft 8 Ꮎ Σ De(s) G(s) Figure 3.64: Block diagram of autopilot for Problem 3.50 comment on the difficulty associated with making rise-time and overshoot measurements for complicated systems.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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