A missile in flight, as shown in Figure P3.10, is subject

Chapter 3, Problem 17

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A missile in flight, as shown in Figure P3.10, is subject to four forces: thrust, lift, drag, and gravity. The missile flies at an angle of attack, \(\alpha\), from its longitudinal axis, creating lift. For steering, the body angle from vertical, \(\phi\), is controlled by rotating the engine at the tail. The transfer function relating the body angle, \(\phi\), to the angular displacement, \(\delta\), of the engine is of the form

\(\frac{\Phi(s)}{\delta(s)}=\frac{K_a s+K_b}{K_3 s^3+K_2 s^2+K_1 s+K_0}\)

                                                     

Represent the missile steering control in state space. [Section: 3.5]