It has been shown (Pounds, 2011) that an unloaded UAV helicopter is closed-loop stable and will have a characteristic equation given by mgh I mgh mgh +k= ·S+ (kki+q₁) = 0 I I + (918) ₁² m'gh' I' (92+kka) + where m is the mass of the helicopter, g is the gravitational constant, I is the rotational inertia of the helicopter, h is the height of the rotor plane above the center of gravity, 91 and 92 are stabilizer flapping parameters, k, kį, and ka are controller parameters; all constants > 0. The UAV is supposed to pick up a payload; when this occurs, the mass, height, and inertia change to m', h', and I', respec- tively, all still > 0. Show that the helicopter will remain stable as long as 2 - q₁+kki – 918k k(9₂+kka)

It has been shown (Pounds, 2011) that an unloaded UAV helicopter is closed-loop stable and will have a characteristic equation given by mgh I mgh mgh +k= ·S+ (kki+q₁) = 0 I I + (918) ₁² m'gh' I' (92+kka) + where m is the mass of the helicopter, g is the gravitational constant, I is the rotational inertia of the helicopter, h is the height of the rotor plane above the center of gravity, 91 and 92 are stabilizer flapping parameters, k, kį, and ka are controller parameters; all constants > 0. The UAV is supposed to pick up a payload; when this occurs, the mass, height, and inertia change to m', h', and I', respec- tively, all still > 0. Show that the helicopter will remain stable as long as 2 - q₁+kki – 918k k(9₂+kka)

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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