This technical educational monograph provides a rigorous analytical treatment of aircraft longitudinal flight control law design, tailored to upper-division undergraduate engineering and advanced pre-university STEM curricula aligned with the Washington Accord (Attributes WA1–WA5). The text establishes the mathematical modeling of linearized rigid-body longitudinal aircraft dynamics, deriving the short-period approximation and elucidating the role of pitch rate (q) and angle-of-attack (alpha) feedback.
Core technical chapters cover: (1) functional block diagram architecture with high-pass washout filtering to prevent steady-state turn opposition; (2) root locus pole-placement synthesis targeting MIL-F-8785C Level 1 flying qualities (short-period damping ratio zeta >= 0.707); (3) nonlinear electro-hydraulic actuator rate-saturation mechanics and describing-function analysis of Category II Pilot-Induced Oscillations (PIO); and (4) modern multivariable state-space synthesis utilizing full-state feedback and continuous-time Linear Quadratic Regulators (LQR) with integral tracking action. Theoretical sections are supported by worked numerical calculations, industry case studies (including the F-16 Fighting Falcon, Airbus C* flight envelope protection, and Saab JAS-39 Gripen PIO mitigation), systems engineering trade-off matrices, and concept verification problems.