The goal of vertical takeoff and landing (VTOL) aircraft is to achieve operation from relatively small airports and yet operate as a normal aircraft in level flight [16]. An aircraft taking off in a form similar to a missile (on end) is inherently unstable. A control system using adjustable jets can control the vehicle, as shown in Figure P6.19.
(a) Determine the range of gain for which the system is stable.
(b) Determine the gain K for which the system is marginally stable and the roots of the characteristic equation for this value of K.
Figure P6.19
Control of a jump-jet aircraft.

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Controller Ks2) s10 Aircraft dynamics Y s) Actual verical path Rts) Dese + vertical path